From f29b1db8a21df2f1b7b5c4e4edbc3d40be6f8c5f Mon Sep 17 00:00:00 2001 From: Michael Papadopoulos Date: Sat, 28 Jan 2023 13:42:02 -0500 Subject: [PATCH 01/13] Task 1 .9 ratio --- ...Hack-challenge-2023-task1-checkpoint.ipynb | 434 ++++++++++++++++++ iQuHack-challenge-2023-task1.ipynb | 39 +- obj/__entrypoint__.dll | Bin 0 -> 217088 bytes obj/__entrypoint__snippets__.dll | Bin 0 -> 66048 bytes obj/__snippets__.dll | Bin 0 -> 65536 bytes 5 files changed, 447 insertions(+), 26 deletions(-) create mode 100644 .ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb create mode 100644 obj/__entrypoint__.dll create mode 100644 obj/__entrypoint__snippets__.dll create mode 100644 obj/__snippets__.dll diff --git a/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb b/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb new file mode 100644 index 0000000..6a0f1d3 --- /dev/null +++ b/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb @@ -0,0 +1,434 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "# MIT iQuHack Microsoft Challenge: Optimizing Quantum Oracles, Task 1\n", + "\n", + "To work on this task,\n", + "1. Use the notebook for this task. Each of the notebooks in the repository has the code of the corresponding task.\n", + "2. Update your team name and Slack ID variables in the next code cell (you can use different Slack IDs for different tasks if different team members work on them, but make sure to use the same team name throughout the Hackathon). Do not change the task variable!\n", + "3. Work on your task in the cell that contains operation `Task1`! Your goal is to rewrite the code so that it maintains its correctness, but requires as few resources as possible. See `evaluate_results` function for details on how your absolute score for the task is calculated.\n", + "4. Submit your task using qBraid. Use the Share Notebook feature on qBraid (See File > Share Notebook) and enter the email rickyyoung@qbraid.com. Once you click submit, if the share notebook feature works correctly, it should show that you receive no errors and the email you entered will disappear. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "Log in to Azure (once per session, don't need to do it if running from Azure workspace)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "!az login" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "## Step 1. Write the code" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# Run this code cell to import the modules required to work with Q# and Azure\n", + "import qsharp\n", + "from qsharp import azure" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "teamname=\"SAMYL\" # Update this field with your team name\n", + "task=[\"task1\"]\n", + "slack_id=\"U04JVDTAG4E\" # Update this field with Slack ID of the person who worked on this task as the troubleshooting contact" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# You don't need to run this cell, it defines Q# operations as Python types to keep IntelliSense happy\n", + "Task1_DumpMachineWrapper : qsharp.QSharpCallable = None\n", + "Task1_ResourceEstimationWrapper : qsharp.QSharpCallable = None" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "**The complete code for Task 1 should be in this cell.** \n", + "This cell can include additional open statements and helper operations and functions if your solution needs them. \n", + "If you define helper operations in other cells, they will not be picked up by the grader!" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "microsoft": { + "language": "qsharp" + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "%%qsharp\n", + "open Microsoft.Quantum.Canon;\n", + "open Microsoft.Quantum.Diagnostics;\n", + "\n", + "// Task 1. Warm up with simple bit manipulation\n", + "// (input will contain 3 qubits)\n", + "operation Task1(input : Qubit[], target : Qubit) : Unit is Adj {\n", + " use aux = Qubit();\n", + " within {\n", + " CNOT(input[0], aux);\n", + " CNOT(input[1], aux);\n", + " CNOT(input[0], input[2]);\n", + " CNOT(input[1], input[0]);\n", + " CNOT(input[2], input[0]);\n", + " } apply {\n", + " Controlled X([aux, input[0]], target);\n", + " }\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "microsoft": { + "language": "qsharp" + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "%%qsharp\n", + "// Wrapper operation that allows you to observe the effects of the marking oracle by running it on a simulator.\n", + "operation Task1_DumpMachineWrapper() : Unit {\n", + " let N = 3;\n", + " use (input, target) = (Qubit[N], Qubit());\n", + " // Prepare an equal superposition of all input states in the input register.\n", + " ApplyToEach(H, input);\n", + " // Apply the oracle.\n", + " Task1(input, target);\n", + " // Print the state of the system after the oracle application.\n", + " DumpMachine();\n", + " ResetAll(input + [target]);\n", + "}\n", + "\n", + "// Wrapper operation that allows to run resource estimation for the task.\n", + "// This operation only allocates the qubits and applies the oracle once, not using any additional gates or measurements.\n", + "operation Task1_ResourceEstimationWrapper() : Unit {\n", + " let N = 3;\n", + " use (input, target) = (Qubit[N], Qubit());\n", + " Task1(input, target);\n", + "}" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "## Step 2. Run the code on a simulator to see what it does\n", + "You can also write your own code to explore the effects of the oracle (for example, applying it to different basis states and measuring the results)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# Note that in the output of this cell the target qubit corresponds to the rightmost bit\n", + "qsharp.config[\"dump.basisStateLabelingConvention\"]=\"Bitstring\"\n", + "qsharp.config[\"dump.phaseDisplayStyle\"]=\"None\"\n", + "# Uncomment the following line if you want to see only the entries with non-zero amplitudes\n", + "# qsharp.config[\"dump.truncateSmallAmplitudes\"]=True\n", + "Task1_DumpMachineWrapper.simulate()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "## Step 3. Evaluate the code using resource estimation" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# If you're using this notebook in Azure Quantum hosted notebooks, remove the credential=\"CLI\" parameter!\n", + "# If you're using this notebook in qBraid, keep it\n", + "qsharp.azure.connect(\n", + " resourceId=\"/subscriptions/6d61051a-6e40-4845-a03a-3c5160bb5629/resourceGroups/AzureQuantum/providers/Microsoft.Quantum/Workspaces/iQuHack-Workspace-micpap25\",\n", + " location=\"East US\",\n", + " credential=\"CLI\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "qsharp.azure.target(\"microsoft.estimator\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# Update job name to a more descriptive string to make it easier to find it in Job Management tab later\n", + "result = qsharp.azure.execute(Task1_ResourceEstimationWrapper, jobName=\"RE for the task 1\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# If you need to pull up the results of an old job, use its job ID with qsharp.azure.output command\n", + "# result = qsharp.azure.output(\"...\")\n", + "result" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# The function that extracts the relevant resource information from the resource estimation job results and produces your absolute score.\n", + "def evaluate_results(res) : \n", + " width = res['physicalCounts']['breakdown']['algorithmicLogicalQubits']\n", + " depth = res['physicalCounts']['breakdown']['algorithmicLogicalDepth']\n", + " print(f\"Logical algorithmic qubits = {width}\")\n", + " print(f\"Algorithmic depth = {depth}\")\n", + " print(f\"Score = {width * depth}\")\n", + " return width * depth\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "evaluate_results(result)" + ] + } + ], + "metadata": { + "kernel_info": { + "name": "python3" + }, + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.9" + }, + "nteract": { + "version": "nteract-front-end@1.0.0" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/iQuHack-challenge-2023-task1.ipynb b/iQuHack-challenge-2023-task1.ipynb index 6042c2b..6a0f1d3 100644 --- a/iQuHack-challenge-2023-task1.ipynb +++ b/iQuHack-challenge-2023-task1.ipynb @@ -36,7 +36,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -69,7 +68,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -91,7 +89,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -104,16 +101,15 @@ }, "outputs": [], "source": [ - "teamname=\"msft_is_the_best\" # Update this field with your team name\n", + "teamname=\"SAMYL\" # Update this field with your team name\n", "task=[\"task1\"]\n", - "slack_id=\"myslackid\" # Update this field with Slack ID of the person who worked on this task as the troubleshooting contact" + "slack_id=\"U04JVDTAG4E\" # Update this field with Slack ID of the person who worked on this task as the troubleshooting contact" ] }, { "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -150,7 +146,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -173,15 +168,15 @@ "// Task 1. Warm up with simple bit manipulation\n", "// (input will contain 3 qubits)\n", "operation Task1(input : Qubit[], target : Qubit) : Unit is Adj {\n", - " let N = Length(input);\n", - " use aux = Qubit[N - 1];\n", + " use aux = Qubit();\n", " within {\n", - " for i in 0 .. N - 2 {\n", - " CNOT(input[i], aux[i]);\n", - " CNOT(input[i + 1], aux[i]);\n", - " }\n", + " CNOT(input[0], aux);\n", + " CNOT(input[1], aux);\n", + " CNOT(input[0], input[2]);\n", + " CNOT(input[1], input[0]);\n", + " CNOT(input[2], input[0]);\n", " } apply {\n", - " Controlled X(aux, target);\n", + " Controlled X([aux, input[0]], target);\n", " }\n", "}" ] @@ -190,7 +185,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -247,7 +241,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -285,7 +278,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -301,8 +293,8 @@ "# If you're using this notebook in Azure Quantum hosted notebooks, remove the credential=\"CLI\" parameter!\n", "# If you're using this notebook in qBraid, keep it\n", "qsharp.azure.connect(\n", - " resourceId=\"...\",\n", - " location=\"...\",\n", + " resourceId=\"/subscriptions/6d61051a-6e40-4845-a03a-3c5160bb5629/resourceGroups/AzureQuantum/providers/Microsoft.Quantum/Workspaces/iQuHack-Workspace-micpap25\",\n", + " location=\"East US\",\n", " credential=\"CLI\")" ] }, @@ -310,7 +302,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -330,7 +321,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -351,7 +341,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -373,7 +362,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": 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z+0rvv-wk?Hihq)_zRxo-0&hX;493nWnr1-Dp|O7T*g z$Y017y*%YD72~Nz2C*%^ODFH;h0gBSDu!H4MZ^nbtXOmwn-_Fs#PO&3Nr)~B4Q7PT zcqVCE|4E`a`dTosraSvnxw;3vY#VhPo(JeTEXOe#7 z750#KmZl<=;(M)Hy3||3^3I{pObIhHxX&ZC`3*$OSa2gJTPn}FW6aEh4Z198vxHp~ zi(U~zFS;4Ca{Sm%Y6n@7XuPD3SKXp?&24@?yC(~{9TXXuv_Se-JGig}A+-~ETcFzX z?~Ho*9ZHPlST1)QcdFEapMf>G>A75>j@S2qhIzEFCA6BLjh6mOZu>o}X;7W9G%JDs E4<)oNy8r+H literal 0 HcmV?d00001 From 9673fdf5e217e5bf044984334b7f31b7157f8494 Mon Sep 17 00:00:00 2001 From: Michael Papadopoulos Date: Sat, 28 Jan 2023 14:00:59 -0500 Subject: [PATCH 02/13] Task 1 .75 ratio --- ...Hack-challenge-2023-task1-checkpoint.ipynb | 1697 ++++++++++++++++- iQuHack-challenge-2023-task1.ipynb | 1697 ++++++++++++++++- obj/__entrypoint__.dll | Bin 217088 -> 216576 bytes obj/__entrypoint__snippets__.dll | Bin 66048 -> 54784 bytes obj/__snippets__.dll | Bin 65536 -> 54272 bytes 5 files changed, 3342 insertions(+), 52 deletions(-) diff --git a/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb b/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb index 6a0f1d3..9c06fd1 100644 --- a/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb +++ b/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb @@ -34,7 +34,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": { "jupyter": { "outputs_hidden": false, @@ -46,7 +46,47 @@ } } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[\n", + " {\n", + " \"cloudName\": \"AzureCloud\",\n", + " \"homeTenantId\": \"aaf653e1-0bcd-4c2c-8658-12eb03e15774\",\n", + " \"id\": \"6d61051a-6e40-4845-a03a-3c5160bb5629\",\n", + " \"isDefault\": true,\n", + " \"managedByTenants\": [\n", + " {\n", + " \"tenantId\": \"d0ecd01b-d782-448e-bae0-c3cad0e0543a\"\n", + " },\n", + " {\n", + " \"tenantId\": \"94c4857e-1130-4ab8-8eac-069b40c9db20\"\n", + " },\n", + " {\n", + " \"tenantId\": \"f702a9dc-ae48-4dc7-8f0a-8155a6dfa4e5\"\n", + " }\n", + " ],\n", + " \"name\": \"Azure for Students\",\n", + " \"state\": \"Enabled\",\n", + " \"tenantId\": \"aaf653e1-0bcd-4c2c-8658-12eb03e15774\",\n", + " \"user\": {\n", + " \"name\": \"papadm2@rpi.edu\",\n", + " \"type\": \"user\"\n", + " }\n", + " }\n", + "]\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING: A web browser has been opened at https://login.microsoftonline.com/organizations/oauth2/v2.0/authorize. Please continue the login in the web browser. If no web browser is available or if the web browser fails to open, use device code flow with `az login --use-device-code`.\n" + ] + } + ], "source": [ "!az login" ] @@ -66,7 +106,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": { "jupyter": { "outputs_hidden": false, @@ -87,7 +127,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": { "jupyter": { "outputs_hidden": false, @@ -108,7 +148,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": { "jupyter": { "outputs_hidden": false, @@ -144,7 +184,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 57, "metadata": { "jupyter": { "outputs_hidden": false, @@ -168,22 +208,19 @@ "// Task 1. Warm up with simple bit manipulation\n", "// (input will contain 3 qubits)\n", "operation Task1(input : Qubit[], target : Qubit) : Unit is Adj {\n", - " use aux = Qubit();\n", " within {\n", - " CNOT(input[0], aux);\n", - " CNOT(input[1], aux);\n", - " CNOT(input[0], input[2]);\n", - " CNOT(input[1], input[0]);\n", " CNOT(input[2], input[0]);\n", + " CNOT(input[2], input[1]);\n", + " CNOT(input[1], input[0]);\n", " } apply {\n", - " Controlled X([aux, input[0]], target);\n", + " Controlled X([input[1], input[0]], target);\n", " }\n", "}" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 58, "metadata": { "jupyter": { "outputs_hidden": false, @@ -239,7 +276,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 59, "metadata": { "jupyter": { "outputs_hidden": false, @@ -251,7 +288,462 @@ } } }, - "outputs": [], + "outputs": [ + { + "data": { + "application/x-qsharp-data": "{\"diagnostic_kind\":\"state-vector\",\"qubit_ids\":[0,1,2,3],\"n_qubits\":4,\"amplitudes\":{\"0\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"1\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"2\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"3\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"4\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"5\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"6\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"7\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"8\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"9\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"10\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"11\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"12\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"13\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"14\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"15\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0}}}", + "text/html": [ + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "
Qubit IDs0, 1, 2, 3
Basis state (bitstring)AmplitudeMeas. Pr.
$\\left|0000\\right\\rangle$$0.3536 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|0001\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|0010\\right\\rangle$$0.3536 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|0011\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|0100\\right\\rangle$$0.3536 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|0101\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|0110\\right\\rangle$$0.3536 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|0111\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|1000\\right\\rangle$$0.3536 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|1001\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|1010\\right\\rangle$$0.3536 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|1011\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|1100\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|1101\\right\\rangle$$0.3536 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|1110\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|1111\\right\\rangle$$0.3536 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
" + ], + "text/plain": [ + "|0000⟩\t0.35355339059327384 + 0𝑖\n", + "|0001⟩\t0 + 0𝑖\n", + "|0010⟩\t0.35355339059327384 + 0𝑖\n", + "|0011⟩\t0 + 0𝑖\n", + "|0100⟩\t0.35355339059327384 + 0𝑖\n", + "|0101⟩\t0 + 0𝑖\n", + "|0110⟩\t0.35355339059327384 + 0𝑖\n", + "|0111⟩\t0 + 0𝑖\n", + "|1000⟩\t0.35355339059327384 + 0𝑖\n", + "|1001⟩\t0 + 0𝑖\n", + "|1010⟩\t0.35355339059327384 + 0𝑖\n", + "|1011⟩\t0 + 0𝑖\n", + "|1100⟩\t0 + 0𝑖\n", + "|1101⟩\t0.35355339059327384 + 0𝑖\n", + "|1110⟩\t0 + 0𝑖\n", + "|1111⟩\t0.35355339059327384 + 0𝑖" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "()" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# Note that in the output of this cell the target qubit corresponds to the rightmost bit\n", "qsharp.config[\"dump.basisStateLabelingConvention\"]=\"Bitstring\"\n", @@ -276,7 +768,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 60, "metadata": { "jupyter": { "outputs_hidden": false, @@ -288,7 +780,56 @@ } } }, - "outputs": [], + "outputs": [ + { + "data": { + "application/x-qsharp-data": "\"Connecting to Azure Quantum...\"", + "text/plain": [ + "Connecting to Azure Quantum..." + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Connected to Azure Quantum workspace iQuHack-Workspace-micpap25 in location eastus.\r\n" + ] + }, + { + "data": { + "text/plain": [ + "[{'id': 'ionq.qpu', 'current_availability': {}, 'average_queue_time': 265936},\n", + " {'id': 'ionq.qpu.aria-1', 'current_availability': {}, 'average_queue_time': 338807},\n", + " {'id': 'ionq.simulator', 'current_availability': {}, 'average_queue_time': 3},\n", + " {'id': 'microsoft.estimator', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.hqs-lt-s1', 'current_availability': {}, 'average_queue_time': 257411},\n", + " {'id': 'quantinuum.hqs-lt-s1-apival', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.hqs-lt-s2', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.hqs-lt-s2-apival', 'current_availability': {}, 'average_queue_time': 1},\n", + " {'id': 'quantinuum.hqs-lt-s1-sim', 'current_availability': {}, 'average_queue_time': 4312},\n", + " {'id': 'quantinuum.hqs-lt-s2-sim', 'current_availability': {}, 'average_queue_time': 140},\n", + " {'id': 'quantinuum.hqs-lt', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.qpu.h1-1', 'current_availability': {}, 'average_queue_time': 257411},\n", + " {'id': 'quantinuum.sim.h1-1sc', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.qpu.h1-2', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.sim.h1-2sc', 'current_availability': {}, 'average_queue_time': 1},\n", + " {'id': 'quantinuum.sim.h1-1e', 'current_availability': {}, 'average_queue_time': 4312},\n", + " {'id': 'quantinuum.sim.h1-2e', 'current_availability': {}, 'average_queue_time': 140},\n", + " {'id': 'quantinuum.qpu.h1', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'rigetti.sim.qvm', 'current_availability': {}, 'average_queue_time': 5},\n", + " {'id': 'rigetti.qpu.aspen-11', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'rigetti.qpu.aspen-m-2', 'current_availability': {}, 'average_queue_time': 5},\n", + " {'id': 'rigetti.qpu.aspen-m-3', 'current_availability': {}, 'average_queue_time': 5}]" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# If you're using this notebook in Azure Quantum hosted notebooks, remove the credential=\"CLI\" parameter!\n", "# If you're using this notebook in qBraid, keep it\n", @@ -300,7 +841,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 61, "metadata": { "jupyter": { "outputs_hidden": false, @@ -312,14 +853,33 @@ } } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Loading package Microsoft.Quantum.Providers.Core and dependencies...\r\n", + "Active target is now microsoft.estimator\r\n" + ] + }, + { + "data": { + "text/plain": [ + "{'id': 'microsoft.estimator', 'current_availability': {}, 'average_queue_time': 0}" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "qsharp.azure.target(\"microsoft.estimator\")" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 62, "metadata": { "jupyter": { "outputs_hidden": false, @@ -331,7 +891,21 @@ } } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Submitting Task1_ResourceEstimationWrapper to target microsoft.estimator...\n", + "Job successfully submitted.\n", + " Job name: RE for the task 1\n", + " Job ID: 804f1a1a-674a-4880-a21c-cc7008a5b18f\n", + "Waiting up to 30 seconds for Azure Quantum job to complete...\n", + "[1:52:36 PM] Current job status: Executing\n", + "[1:52:41 PM] Current job status: Succeeded\n" + ] + } + ], "source": [ "# Update job name to a more descriptive string to make it easier to find it in Job Management tab later\n", "result = qsharp.azure.execute(Task1_ResourceEstimationWrapper, jobName=\"RE for the task 1\")" @@ -339,7 +913,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 63, "metadata": { "jupyter": { "outputs_hidden": false, @@ -351,7 +925,1051 @@ } } }, - "outputs": [], + "outputs": [ + { + "data": { + "application/x-qsharp-data": "{\"errorBudget\":{\"logical\":0.0005,\"rotations\":0.0,\"tstates\":0.0005},\"jobParams\":{\"errorBudget\":0.001,\"qecScheme\":{\"crossingPrefactor\":0.03,\"errorCorrectionThreshold\":0.01,\"logicalCycleTime\":\"(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance\",\"name\":\"surface_code\",\"physicalQubitsPerLogicalQubit\":\"2 * codeDistance * codeDistance\"},\"qubitParams\":{\"instructionSet\":\"GateBased\",\"name\":\"qubit_gate_ns_e3\",\"oneQubitGateErrorRate\":0.001,\"oneQubitGateTime\":\"50 ns\",\"oneQubitMeasurementErrorRate\":0.001,\"oneQubitMeasurementTime\":\"100 ns\",\"tGateErrorRate\":0.001,\"tGateTime\":\"50 ns\",\"twoQubitGateErrorRate\":0.001,\"twoQubitGateTime\":\"50 ns\"}},\"logicalCounts\":{\"ccixCount\":0,\"cczCount\":1,\"measurementCount\":0,\"numQubits\":4,\"rotationCount\":0,\"rotationDepth\":0,\"tCount\":0},\"logicalQubit\":{\"codeDistance\":9,\"logicalCycleTime\":3600.0,\"logicalErrorRate\":3.0000000000000015E-07,\"physicalQubits\":162},\"physicalCounts\":{\"breakdown\":{\"algorithmicLogicalDepth\":3,\"algorithmicLogicalQubits\":15,\"cliffordErrorRate\":0.001,\"logicalDepth\":13,\"numTfactories\":4,\"numTfactoryRuns\":1,\"numTsPerRotation\":null,\"numTstates\":4,\"physicalQubitsForAlgorithm\":2430,\"physicalQubitsForTfactories\":15680,\"requiredLogicalQubitErrorRate\":2.564102564102564E-06,\"requiredLogicalTstateErrorRate\":0.000125},\"physicalQubits\":18110,\"runtime\":46800},\"physicalCountsFormatted\":{\"codeDistancePerRound\":\"7\",\"errorBudget\":\"1.00e-3\",\"errorBudgetLogical\":\"5.00e-4\",\"errorBudgetRotations\":\"0.00e0\",\"errorBudgetTstates\":\"5.00e-4\",\"logicalCycleTime\":\"3us 600ns\",\"logicalErrorRate\":\"3.00e-7\",\"numTsPerRotation\":\"No rotations in algorithm\",\"numUnitsPerRound\":\"2\",\"physicalQubitsForTfactoriesPercentage\":\"86.58 %\",\"physicalQubitsPerRound\":\"3920\",\"requiredLogicalQubitErrorRate\":\"2.56e-6\",\"requiredLogicalTstateErrorRate\":\"1.25e-4\",\"runtime\":\"46us 800ns\",\"tfactoryRuntime\":\"36us 400ns\",\"tfactoryRuntimePerRound\":\"36us 400ns\",\"tstateLogicalErrorRate\":\"2.13e-5\",\"unitNamePerRound\":\"15-to-1 space efficient logical\"},\"reportData\":{\"assumptions\":[\"_More details on the following lists of assumptions can be found in the paper [Accessing requirements for scaling quantum computers and their applications](https://aka.ms/AQ/RE/Paper)._\",\"**Uniform independent physical noise.** We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.\",\"**Efficient classical computation.** We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.\",\"**Extraction circuits for planar quantum ISA.** We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).\",\"**Uniform independent logical noise.** We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.\",\"**Negligible Clifford costs for synthesis.** We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.\",\"**Smooth magic state consumption rate.** We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.\"],\"groups\":[{\"alwaysVisible\":true,\"entries\":[{\"description\":\"Number of physical qubits\",\"explanation\":\"This value represents the total number of physical qubits, which is the sum of 2430 physical qubits to implement the algorithm logic, and 15680 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.\",\"label\":\"Physical qubits\",\"path\":\"physicalCounts/physicalQubits\"},{\"description\":\"Total runtime\",\"explanation\":\"This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (3us 600ns) multiplied by the 3 logical cycles to run the algorithm. If however the duration of a single T factory (here: 36us 400ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.\",\"label\":\"Runtime\",\"path\":\"physicalCountsFormatted/runtime\"}],\"title\":\"Physical resource estimates\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of logical qubits for the algorithm after layout\",\"explanation\":\"Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the $Q_{\\\\rm alg} = 4$ logical qubits in the input algorithm, we require in total $2 \\\\cdot Q_{\\\\rm alg} + \\\\lceil \\\\sqrt{8 \\\\cdot Q_{\\\\rm alg}}\\\\rceil + 1 = 15$ logical qubits.\",\"label\":\"Logical algorithmic qubits\",\"path\":\"physicalCounts/breakdown/algorithmicLogicalQubits\"},{\"description\":\"Number of logical cycles for the algorithm\",\"explanation\":\"To execute the algorithm using _Parallel Synthesis Sequential Pauli Computation_ (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 0 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 1 CCZ and 0 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.\",\"label\":\"Algorithmic depth\",\"path\":\"physicalCounts/breakdown/algorithmicLogicalDepth\"},{\"description\":\"Number of logical cycles performed\",\"explanation\":\"This number is usually equal to the logical depth of the algorithm, which is 3. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.\",\"label\":\"Logical depth\",\"path\":\"physicalCounts/breakdown/logicalDepth\"},{\"description\":\"Number of T states consumed by the algorithm\",\"explanation\":\"To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 1 CCZ and 0 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.\",\"label\":\"Number of T states\",\"path\":\"physicalCounts/breakdown/numTstates\"},{\"description\":\"Number of T factories capable of producing the demanded 4 T states during the algorithm's runtime\",\"explanation\":\"The total number of T factories 4 that are executed in parallel is computed as $\\\\left\\\\lceil\\\\dfrac{4\\\\;\\\\text{T states} \\\\cdot 36us 400ns\\\\;\\\\text{T factory duration}}{1\\\\;\\\\text{T states per T factory} \\\\cdot 46us 800ns\\\\;\\\\text{algorithm runtime}}\\\\right\\\\rceil$\",\"label\":\"Number of T factories\",\"path\":\"physicalCounts/breakdown/numTfactories\"},{\"description\":\"Number of times all T factories are invoked\",\"explanation\":\"In order to prepare the 4 T states, the 4 copies of the T factory are repeatedly invoked 1 times.\",\"label\":\"Number of T factory invocations\",\"path\":\"physicalCounts/breakdown/numTfactoryRuns\"},{\"description\":\"Number of physical qubits for the algorithm after layout\",\"explanation\":\"The 2430 are the product of the 15 logical qubits after layout and the 162 physical qubits that encode a single logical qubit.\",\"label\":\"Physical algorithmic qubits\",\"path\":\"physicalCounts/breakdown/physicalQubitsForAlgorithm\"},{\"description\":\"Number of physical qubits for the T factories\",\"explanation\":\"Each T factory requires 3920 physical qubits and we run 4 in parallel, therefore we need $15680 = 3920 \\\\cdot 4$ qubits.\",\"label\":\"Physical T factory qubits\",\"path\":\"physicalCounts/breakdown/physicalQubitsForTfactories\"},{\"description\":\"The minimum logical qubit error rate required to run the algorithm within the error budget\",\"explanation\":\"The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 15 logical qubits and the total cycle count 13.\",\"label\":\"Required logical qubit error rate\",\"path\":\"physicalCountsFormatted/requiredLogicalQubitErrorRate\"},{\"description\":\"The minimum T state error rate required for distilled T states\",\"explanation\":\"The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 4.\",\"label\":\"Required logical T state error rate\",\"path\":\"physicalCountsFormatted/requiredLogicalTstateErrorRate\"},{\"description\":\"Number of T states to implement a rotation with an arbitrary angle\",\"explanation\":\"The number of T states to implement a rotation with an arbitrary angle is $\\\\lceil 0.53 \\\\log_2(0 / 0) + 5.3\\\\rceil$ [[arXiv:2203.10064](https://arxiv.org/abs/2203.10064)]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.\",\"label\":\"Number of T states per rotation\",\"path\":\"physicalCountsFormatted/numTsPerRotation\"}],\"title\":\"Resource estimates breakdown\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Name of QEC scheme\",\"explanation\":\"You can load pre-defined QEC schemes by using the name `surface_code` or `floquet_code`. The latter only works with Majorana qubits.\",\"label\":\"QEC scheme\",\"path\":\"jobParams/qecScheme/name\"},{\"description\":\"Required code distance for error correction\",\"explanation\":\"The code distance is the smallest odd integer greater or equal to $\\\\dfrac{2\\\\log(0.03 / 0.000002564102564102564)}{\\\\log(0.01/0.001)} - 1$\",\"label\":\"Code distance\",\"path\":\"logicalQubit/codeDistance\"},{\"description\":\"Number of physical qubits per logical qubit\",\"explanation\":\"The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.\",\"label\":\"Physical qubits\",\"path\":\"logicalQubit/physicalQubits\"},{\"description\":\"Duration of a logical cycle in nanoseconds\",\"explanation\":\"The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.\",\"label\":\"Logical cycle time\",\"path\":\"physicalCountsFormatted/logicalCycleTime\"},{\"description\":\"Logical qubit error rate\",\"explanation\":\"The logical qubit error rate is computed as $0.03 \\\\cdot \\\\left(\\\\dfrac{0.001}{0.01}\\\\right)^\\\\frac{9 + 1}{2}$\",\"label\":\"Logical qubit error rate\",\"path\":\"physicalCountsFormatted/logicalErrorRate\"},{\"description\":\"Crossing prefactor used in QEC scheme\",\"explanation\":\"The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.\",\"label\":\"Crossing prefactor\",\"path\":\"jobParams/qecScheme/crossingPrefactor\"},{\"description\":\"Error correction threshold used in QEC scheme\",\"explanation\":\"The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.\",\"label\":\"Error correction threshold\",\"path\":\"jobParams/qecScheme/errorCorrectionThreshold\"},{\"description\":\"QEC scheme formula used to compute logical cycle time\",\"explanation\":\"This is the formula that is used to compute the logical cycle time 3us 600ns.\",\"label\":\"Logical cycle time formula\",\"path\":\"jobParams/qecScheme/logicalCycleTime\"},{\"description\":\"QEC scheme formula used to compute number of physical qubits per logical qubit\",\"explanation\":\"This is the formula that is used to compute the number of physical qubits per logical qubits 162.\",\"label\":\"Physical qubits formula\",\"path\":\"jobParams/qecScheme/physicalQubitsPerLogicalQubit\"}],\"title\":\"Logical qubit parameters\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of physical qubits for a single T factory\",\"explanation\":\"This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.\",\"label\":\"Physical qubits\",\"path\":\"tfactory/physicalQubits\"},{\"description\":\"Runtime of a single T factory\",\"explanation\":\"The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.\",\"label\":\"Runtime\",\"path\":\"physicalCountsFormatted/tfactoryRuntime\"},{\"description\":\"Number of output T states produced in a single run of T factory\",\"explanation\":\"The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.13e-5.\",\"label\":\"Number of output T states per run\",\"path\":\"tfactory/numTstates\"},{\"description\":\"Number of physical input T states consumed in a single run of a T factory\",\"explanation\":\"This value includes the physical input T states of all copies of the distillation unit in the first round.\",\"label\":\"Number of input T states per run\",\"path\":\"tfactory/numInputTstates\"},{\"description\":\"The number of distillation rounds\",\"explanation\":\"This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.\",\"label\":\"Distillation rounds\",\"path\":\"tfactory/numRounds\"},{\"description\":\"The number of units in each round of distillation\",\"explanation\":\"This is the number of copies for the distillation units per round.\",\"label\":\"Distillation units per round\",\"path\":\"physicalCountsFormatted/numUnitsPerRound\"},{\"description\":\"The types of distillation units\",\"explanation\":\"These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.\",\"label\":\"Distillation units\",\"path\":\"physicalCountsFormatted/unitNamePerRound\"},{\"description\":\"The code distance in each round of distillation\",\"explanation\":\"This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.\",\"label\":\"Distillation code distances\",\"path\":\"physicalCountsFormatted/codeDistancePerRound\"},{\"description\":\"The number of physical qubits used in each round of distillation\",\"explanation\":\"The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.\",\"label\":\"Number of physical qubits per round\",\"path\":\"physicalCountsFormatted/physicalQubitsPerRound\"},{\"description\":\"The runtime of each distillation round\",\"explanation\":\"The runtime of the T factory is the sum of the runtimes in all rounds.\",\"label\":\"Runtime per round\",\"path\":\"physicalCountsFormatted/tfactoryRuntimePerRound\"},{\"description\":\"Logical T state error rate\",\"explanation\":\"This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 1.25e-4.\",\"label\":\"Logical T state error rate\",\"path\":\"physicalCountsFormatted/tstateLogicalErrorRate\"}],\"title\":\"T factory parameters\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of logical qubits in the input quantum program\",\"explanation\":\"We determine 15 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.\",\"label\":\"Logical qubits (pre-layout)\",\"path\":\"logicalCounts/numQubits\"},{\"description\":\"Number of T gates in the input quantum program\",\"explanation\":\"This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.\",\"label\":\"T gates\",\"path\":\"logicalCounts/tCount\"},{\"description\":\"Number of rotation gates in the input quantum program\",\"explanation\":\"This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.\",\"label\":\"Rotation gates\",\"path\":\"logicalCounts/rotationCount\"},{\"description\":\"Depth of rotation gates in the input quantum program\",\"explanation\":\"This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.\",\"label\":\"Rotation depth\",\"path\":\"logicalCounts/rotationDepth\"},{\"description\":\"Number of CCZ-gates in the input quantum program\",\"explanation\":\"This is the number of CCZ gates.\",\"label\":\"CCZ gates\",\"path\":\"logicalCounts/cczCount\"},{\"description\":\"Number of CCiX-gates in the input quantum program\",\"explanation\":\"This is the number of CCiX gates, which applies $-iX$ controlled on two control qubits [[1212.5069](https://arxiv.org/abs/1212.5069)].\",\"label\":\"CCiX gates\",\"path\":\"logicalCounts/ccixCount\"},{\"description\":\"Number of single qubit measurements in the input quantum program\",\"explanation\":\"This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.\",\"label\":\"Measurement operations\",\"path\":\"logicalCounts/measurementCount\"}],\"title\":\"Pre-layout logical resources\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Total error budget for the algorithm\",\"explanation\":\"The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget $\\\\epsilon = \\\\epsilon_{\\\\log} + \\\\epsilon_{\\\\rm dis} + \\\\epsilon_{\\\\rm syn}$ is uniformly distributed and applies to errors $\\\\epsilon_{\\\\log}$ to implement logical qubits, an error budget $\\\\epsilon_{\\\\rm dis}$ to produce T states through distillation, and an error budget $\\\\epsilon_{\\\\rm syn}$ to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets $\\\\epsilon_{\\\\rm dis}$ and $\\\\epsilon_{\\\\rm syn}$ are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.\",\"label\":\"Total error budget\",\"path\":\"physicalCountsFormatted/errorBudget\"},{\"description\":\"Probability of at least one logical error\",\"explanation\":\"This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.\",\"label\":\"Logical error probability\",\"path\":\"physicalCountsFormatted/errorBudgetLogical\"},{\"description\":\"Probability of at least one faulty T distillation\",\"explanation\":\"This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.\",\"label\":\"T distillation error probability\",\"path\":\"physicalCountsFormatted/errorBudgetTstates\"},{\"description\":\"Probability of at least one failed rotation synthesis\",\"explanation\":\"This is one third of the total error budget 1.00e-3.\",\"label\":\"Rotation synthesis error probability\",\"path\":\"physicalCountsFormatted/errorBudgetRotations\"}],\"title\":\"Assumed error budget\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Some descriptive name for the qubit model\",\"explanation\":\"You can load pre-defined qubit parameters by using the names `qubit_gate_ns_e3`, `qubit_gate_ns_e4`, `qubit_gate_us_e3`, `qubit_gate_us_e4`, `qubit_maj_ns_e4`, or `qubit_maj_ns_e6`. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or ¬µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).\",\"label\":\"Qubit name\",\"path\":\"jobParams/qubitParams/name\"},{\"description\":\"Underlying qubit technology (gate-based or Majorana)\",\"explanation\":\"When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either *gate-based* or *Majorana*. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.\",\"label\":\"Instruction set\",\"path\":\"jobParams/qubitParams/instructionSet\"},{\"description\":\"Operation time for single-qubit measurement (t_meas) in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.\",\"label\":\"Single-qubit measurement time\",\"path\":\"jobParams/qubitParams/oneQubitMeasurementTime\"},{\"description\":\"Operation time for single-qubit gate (t_gate) in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.\",\"label\":\"Single-qubit gate time\",\"path\":\"jobParams/qubitParams/oneQubitGateTime\"},{\"description\":\"Operation time for two-qubit gate in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.\",\"label\":\"Two-qubit gate time\",\"path\":\"jobParams/qubitParams/twoQubitGateTime\"},{\"description\":\"Operation time for a T gate\",\"explanation\":\"This is the operation time in nanoseconds to execute a T gate.\",\"label\":\"T gate time\",\"path\":\"jobParams/qubitParams/tGateTime\"},{\"description\":\"Error rate for single-qubit measurement\",\"explanation\":\"This is the probability in which a single-qubit measurement in the Pauli basis may fail.\",\"label\":\"Single-qubit measurement error rate\",\"path\":\"jobParams/qubitParams/oneQubitMeasurementErrorRate\"},{\"description\":\"Error rate for single-qubit Clifford gate (p)\",\"explanation\":\"This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.\",\"label\":\"Single-qubit error rate\",\"path\":\"jobParams/qubitParams/oneQubitGateErrorRate\"},{\"description\":\"Error rate for two-qubit Clifford gate\",\"explanation\":\"This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.\",\"label\":\"Two-qubit error rate\",\"path\":\"jobParams/qubitParams/twoQubitGateErrorRate\"},{\"description\":\"Error rate to prepare single-qubit T state or apply a T gate (p_T)\",\"explanation\":\"This is the probability in which executing a single T gate may fail.\",\"label\":\"T gate error rate\",\"path\":\"jobParams/qubitParams/tGateErrorRate\"}],\"title\":\"Physical qubit parameters\"}]},\"status\":\"success\",\"tfactory\":{\"codeDistancePerRound\":[7],\"logicalErrorRate\":2.133500000000001E-05,\"numInputTstates\":30,\"numRounds\":1,\"numTstates\":1,\"numUnitsPerRound\":[2],\"physicalQubits\":3920,\"physicalQubitsPerRound\":[3920],\"runtime\":36400.0,\"runtimePerRound\":[36400.0],\"unitNamePerRound\":[\"15-to-1 space efficient logical\"]}}", + "text/html": [ + "\r\n", + "
\r\n", + " \r\n", + " Physical resource estimates\r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "
Physical qubits18110\r\n", + "

Number of physical qubits

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This value represents the total number of physical qubits, which is the sum of 2430 physical qubits to implement the algorithm logic, and 15680 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.

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Runtime46us 800ns\r\n", + "

Total runtime

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This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (3us 600ns) multiplied by the 3 logical cycles to run the algorithm. If however the duration of a single T factory (here: 36us 400ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.

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Logical algorithmic qubits15\r\n", + "

Number of logical qubits for the algorithm after layout

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Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the \\(Q_{\\rm alg} = 4\\) logical qubits in the input algorithm, we require in total $2 \\cdot Q_{\\rm alg} + \\lceil \\sqrt{8 \\cdot Q_{\\rm alg}}\\rceil + 1 = 15$ logical qubits.

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Algorithmic depth3\r\n", + "

Number of logical cycles for the algorithm

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To execute the algorithm using Parallel Synthesis Sequential Pauli Computation (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 0 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 1 CCZ and 0 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.

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Logical depth13\r\n", + "

Number of logical cycles performed

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This number is usually equal to the logical depth of the algorithm, which is 3. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.

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Number of T states4\r\n", + "

Number of T states consumed by the algorithm

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To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 1 CCZ and 0 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.

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Number of T factories4\r\n", + "

Number of T factories capable of producing the demanded 4 T states during the algorithm's runtime

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The total number of T factories 4 that are executed in parallel is computed as \\(\\left\\lceil\\dfrac{4\\;\\text{T states} \\cdot 36us 400ns\\;\\text{T factory duration}}{1\\;\\text{T states per T factory} \\cdot 46us 800ns\\;\\text{algorithm runtime}}\\right\\rceil\\)

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Number of T factory invocations1\r\n", + "

Number of times all T factories are invoked

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In order to prepare the 4 T states, the 4 copies of the T factory are repeatedly invoked 1 times.

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Physical algorithmic qubits2430\r\n", + "

Number of physical qubits for the algorithm after layout

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The 2430 are the product of the 15 logical qubits after layout and the 162 physical qubits that encode a single logical qubit.

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Physical T factory qubits15680\r\n", + "

Number of physical qubits for the T factories

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Each T factory requires 3920 physical qubits and we run 4 in parallel, therefore we need $15680 = 3920 \\cdot 4$ qubits.

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Required logical qubit error rate2.56e-6\r\n", + "

The minimum logical qubit error rate required to run the algorithm within the error budget

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The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 15 logical qubits and the total cycle count 13.

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Required logical T state error rate1.25e-4\r\n", + "

The minimum T state error rate required for distilled T states

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The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 4.

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Number of T states per rotationNo rotations in algorithm\r\n", + "

Number of T states to implement a rotation with an arbitrary angle

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The number of T states to implement a rotation with an arbitrary angle is \\(\\lceil 0.53 \\log_2(0 / 0) + 5.3\\rceil\\) [arXiv:2203.10064]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.

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QEC schemesurface_code\r\n", + "

Name of QEC scheme

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You can load pre-defined QEC schemes by using the name surface_code or floquet_code. The latter only works with Majorana qubits.

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Code distance9\r\n", + "

Required code distance for error correction

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The code distance is the smallest odd integer greater or equal to \\(\\dfrac{2\\log(0.03 / 0.000002564102564102564)}{\\log(0.01/0.001)} - 1\\)

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Physical qubits162\r\n", + "

Number of physical qubits per logical qubit

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The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.

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Logical cycle time3us 600ns\r\n", + "

Duration of a logical cycle in nanoseconds

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The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.

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Logical qubit error rate3.00e-7\r\n", + "

Logical qubit error rate

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\r\n", + "

The logical qubit error rate is computed as $0.03 \\cdot \\left(\\dfrac{0.001}{0.01}\\right)^\\frac{9 + 1}{2}$

\n", + "\r\n", + "
Crossing prefactor0.03\r\n", + "

Crossing prefactor used in QEC scheme

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\r\n", + "

The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.

\n", + "\r\n", + "
Error correction threshold0.01\r\n", + "

Error correction threshold used in QEC scheme

\n", + "\r\n", + "
\r\n", + "

The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.

\n", + "\r\n", + "
Logical cycle time formula(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance\r\n", + "

QEC scheme formula used to compute logical cycle time

\n", + "\r\n", + "
\r\n", + "

This is the formula that is used to compute the logical cycle time 3us 600ns.

\n", + "\r\n", + "
Physical qubits formula2 * codeDistance * codeDistance\r\n", + "

QEC scheme formula used to compute number of physical qubits per logical qubit

\n", + "\r\n", + "
\r\n", + "

This is the formula that is used to compute the number of physical qubits per logical qubits 162.

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\r\n", + " \r\n", + " T factory parameters\r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "
Physical qubits3920\r\n", + "

Number of physical qubits for a single T factory

\n", + "\r\n", + "
\r\n", + "

This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.

\n", + "\r\n", + "
Runtime36us 400ns\r\n", + "

Runtime of a single T factory

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\r\n", + "

The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.

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Number of output T states per run1\r\n", + "

Number of output T states produced in a single run of T factory

\n", + "\r\n", + "
\r\n", + "

The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.13e-5.

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Number of input T states per run30\r\n", + "

Number of physical input T states consumed in a single run of a T factory

\n", + "\r\n", + "
\r\n", + "

This value includes the physical input T states of all copies of the distillation unit in the first round.

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Distillation rounds1\r\n", + "

The number of distillation rounds

\n", + "\r\n", + "
\r\n", + "

This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.

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Distillation units per round2\r\n", + "

The number of units in each round of distillation

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\r\n", + "

This is the number of copies for the distillation units per round.

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Distillation units15-to-1 space efficient logical\r\n", + "

The types of distillation units

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\r\n", + "

These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.

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Distillation code distances7\r\n", + "

The code distance in each round of distillation

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\r\n", + "

This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.

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Number of physical qubits per round3920\r\n", + "

The number of physical qubits used in each round of distillation

\n", + "\r\n", + "
\r\n", + "

The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.

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Runtime per round36us 400ns\r\n", + "

The runtime of each distillation round

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\r\n", + "

The runtime of the T factory is the sum of the runtimes in all rounds.

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Logical T state error rate2.13e-5\r\n", + "

Logical T state error rate

\n", + "\r\n", + "
\r\n", + "

This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 1.25e-4.

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\r\n", + " \r\n", + " Pre-layout logical resources\r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "
Logical qubits (pre-layout)4\r\n", + "

Number of logical qubits in the input quantum program

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\r\n", + "

We determine 15 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.

\n", + "\r\n", + "
T gates0\r\n", + "

Number of T gates in the input quantum program

\n", + "\r\n", + "
\r\n", + "

This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.

\n", + "\r\n", + "
Rotation gates0\r\n", + "

Number of rotation gates in the input quantum program

\n", + "\r\n", + "
\r\n", + "

This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.

\n", + "\r\n", + "
Rotation depth0\r\n", + "

Depth of rotation gates in the input quantum program

\n", + "\r\n", + "
\r\n", + "

This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.

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CCZ gates1\r\n", + "

Number of CCZ-gates in the input quantum program

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\r\n", + "

This is the number of CCZ gates.

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CCiX gates0\r\n", + "

Number of CCiX-gates in the input quantum program

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\r\n", + "

This is the number of CCiX gates, which applies \\(-iX\\) controlled on two control qubits [1212.5069].

\n", + "\r\n", + "
Measurement operations0\r\n", + "

Number of single qubit measurements in the input quantum program

\n", + "\r\n", + "
\r\n", + "

This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.

\n", + "\r\n", + "
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\r\n", + " \r\n", + " Assumed error budget\r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "
Total error budget1.00e-3\r\n", + "

Total error budget for the algorithm

\n", + "\r\n", + "
\r\n", + "

The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget \\(\\epsilon = \\epsilon_{\\log} + \\epsilon_{\\rm dis} + \\epsilon_{\\rm syn}\\) is uniformly distributed and applies to errors \\(\\epsilon_{\\log}\\) to implement logical qubits, an error budget \\(\\epsilon_{\\rm dis}\\) to produce T states through distillation, and an error budget \\(\\epsilon_{\\rm syn}\\) to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets \\(\\epsilon_{\\rm dis}\\) and \\(\\epsilon_{\\rm syn}\\) are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.

\n", + "\r\n", + "
Logical error probability5.00e-4\r\n", + "

Probability of at least one logical error

\n", + "\r\n", + "
\r\n", + "

This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.

\n", + "\r\n", + "
T distillation error probability5.00e-4\r\n", + "

Probability of at least one faulty T distillation

\n", + "\r\n", + "
\r\n", + "

This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.

\n", + "\r\n", + "
Rotation synthesis error probability0.00e0\r\n", + "

Probability of at least one failed rotation synthesis

\n", + "\r\n", + "
\r\n", + "

This is one third of the total error budget 1.00e-3.

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\r\n", + " \r\n", + " Physical qubit parameters\r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "
Qubit namequbit_gate_ns_e3\r\n", + "

Some descriptive name for the qubit model

\n", + "\r\n", + "
\r\n", + "

You can load pre-defined qubit parameters by using the names qubit_gate_ns_e3, qubit_gate_ns_e4, qubit_gate_us_e3, qubit_gate_us_e4, qubit_maj_ns_e4, or qubit_maj_ns_e6. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).

\n", + "\r\n", + "
Instruction setGateBased\r\n", + "

Underlying qubit technology (gate-based or Majorana)

\n", + "\r\n", + "
\r\n", + "

When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either gate-based or Majorana. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.

\n", + "\r\n", + "
Single-qubit measurement time100 ns\r\n", + "

Operation time for single-qubit measurement (t_meas) in ns

\n", + "\r\n", + "
\r\n", + "

This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.

\n", + "\r\n", + "
Single-qubit gate time50 ns\r\n", + "

Operation time for single-qubit gate (t_gate) in ns

\n", + "\r\n", + "
\r\n", + "

This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.

\n", + "\r\n", + "
Two-qubit gate time50 ns\r\n", + "

Operation time for two-qubit gate in ns

\n", + "\r\n", + "
\r\n", + "

This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.

\n", + "\r\n", + "
T gate time50 ns\r\n", + "

Operation time for a T gate

\n", + "\r\n", + "
\r\n", + "

This is the operation time in nanoseconds to execute a T gate.

\n", + "\r\n", + "
Single-qubit measurement error rate0.001\r\n", + "

Error rate for single-qubit measurement

\n", + "\r\n", + "
\r\n", + "

This is the probability in which a single-qubit measurement in the Pauli basis may fail.

\n", + "\r\n", + "
Single-qubit error rate0.001\r\n", + "

Error rate for single-qubit Clifford gate (p)

\n", + "\r\n", + "
\r\n", + "

This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.

\n", + "\r\n", + "
Two-qubit error rate0.001\r\n", + "

Error rate for two-qubit Clifford gate

\n", + "\r\n", + "
\r\n", + "

This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.

\n", + "\r\n", + "
T gate error rate0.001\r\n", + "

Error rate to prepare single-qubit T state or apply a T gate (p_T)

\n", + "\r\n", + "
\r\n", + "

This is the probability in which executing a single T gate may fail.

\n", + "\r\n", + "
\r\n", + "\r\n" + ], + "text/plain": [ + "{'errorBudget': {'logical': 0.0005, 'rotations': 0.0, 'tstates': 0.0005},\n", + " 'jobParams': {'errorBudget': 0.001,\n", + " 'qecScheme': {'crossingPrefactor': 0.03,\n", + " 'errorCorrectionThreshold': 0.01,\n", + " 'logicalCycleTime': '(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance',\n", + " 'name': 'surface_code',\n", + " 'physicalQubitsPerLogicalQubit': '2 * codeDistance * codeDistance'},\n", + " 'qubitParams': {'instructionSet': 'GateBased',\n", + " 'name': 'qubit_gate_ns_e3',\n", + " 'oneQubitGateErrorRate': 0.001,\n", + " 'oneQubitGateTime': '50 ns',\n", + " 'oneQubitMeasurementErrorRate': 0.001,\n", + " 'oneQubitMeasurementTime': '100 ns',\n", + " 'tGateErrorRate': 0.001,\n", + " 'tGateTime': '50 ns',\n", + " 'twoQubitGateErrorRate': 0.001,\n", + " 'twoQubitGateTime': '50 ns'}},\n", + " 'logicalCounts': {'ccixCount': 0,\n", + " 'cczCount': 1,\n", + " 'measurementCount': 0,\n", + " 'numQubits': 4,\n", + " 'rotationCount': 0,\n", + " 'rotationDepth': 0,\n", + " 'tCount': 0},\n", + " 'logicalQubit': {'codeDistance': 9,\n", + " 'logicalCycleTime': 3600.0,\n", + " 'logicalErrorRate': 3.0000000000000015e-07,\n", + " 'physicalQubits': 162},\n", + " 'physicalCounts': {'breakdown': {'algorithmicLogicalDepth': 3,\n", + " 'algorithmicLogicalQubits': 15,\n", + " 'cliffordErrorRate': 0.001,\n", + " 'logicalDepth': 13,\n", + " 'numTfactories': 4,\n", + " 'numTfactoryRuns': 1,\n", + " 'numTsPerRotation': None,\n", + " 'numTstates': 4,\n", + " 'physicalQubitsForAlgorithm': 2430,\n", + " 'physicalQubitsForTfactories': 15680,\n", + " 'requiredLogicalQubitErrorRate': 2.564102564102564e-06,\n", + " 'requiredLogicalTstateErrorRate': 0.000125},\n", + " 'physicalQubits': 18110,\n", + " 'runtime': 46800},\n", + " 'physicalCountsFormatted': {'codeDistancePerRound': '7',\n", + " 'errorBudget': '1.00e-3',\n", + " 'errorBudgetLogical': '5.00e-4',\n", + " 'errorBudgetRotations': '0.00e0',\n", + " 'errorBudgetTstates': '5.00e-4',\n", + " 'logicalCycleTime': '3us 600ns',\n", + " 'logicalErrorRate': '3.00e-7',\n", + " 'numTsPerRotation': 'No rotations in algorithm',\n", + " 'numUnitsPerRound': '2',\n", + " 'physicalQubitsForTfactoriesPercentage': '86.58 %',\n", + " 'physicalQubitsPerRound': '3920',\n", + " 'requiredLogicalQubitErrorRate': '2.56e-6',\n", + " 'requiredLogicalTstateErrorRate': '1.25e-4',\n", + " 'runtime': '46us 800ns',\n", + " 'tfactoryRuntime': '36us 400ns',\n", + " 'tfactoryRuntimePerRound': '36us 400ns',\n", + " 'tstateLogicalErrorRate': '2.13e-5',\n", + " 'unitNamePerRound': '15-to-1 space efficient logical'},\n", + " 'reportData': {'assumptions': ['_More details on the following lists of assumptions can be found in the paper [Accessing requirements for scaling quantum computers and their applications](https://aka.ms/AQ/RE/Paper)._',\n", + " '**Uniform independent physical noise.** We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.',\n", + " '**Efficient classical computation.** We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.',\n", + " '**Extraction circuits for planar quantum ISA.** We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).',\n", + " '**Uniform independent logical noise.** We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.',\n", + " '**Negligible Clifford costs for synthesis.** We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.',\n", + " '**Smooth magic state consumption rate.** We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.'],\n", + " 'groups': [{'alwaysVisible': True,\n", + " 'entries': [{'description': 'Number of physical qubits',\n", + " 'explanation': 'This value represents the total number of physical qubits, which is the sum of 2430 physical qubits to implement the algorithm logic, and 15680 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.',\n", + " 'label': 'Physical qubits',\n", + " 'path': 'physicalCounts/physicalQubits'},\n", + " {'description': 'Total runtime',\n", + " 'explanation': 'This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (3us 600ns) multiplied by the 3 logical cycles to run the algorithm. If however the duration of a single T factory (here: 36us 400ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.',\n", + " 'label': 'Runtime',\n", + " 'path': 'physicalCountsFormatted/runtime'}],\n", + " 'title': 'Physical resource estimates'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Number of logical qubits for the algorithm after layout',\n", + " 'explanation': 'Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the $Q_{\\\\rm alg} = 4$ logical qubits in the input algorithm, we require in total $2 \\\\cdot Q_{\\\\rm alg} + \\\\lceil \\\\sqrt{8 \\\\cdot Q_{\\\\rm alg}}\\\\rceil + 1 = 15$ logical qubits.',\n", + " 'label': 'Logical algorithmic qubits',\n", + " 'path': 'physicalCounts/breakdown/algorithmicLogicalQubits'},\n", + " {'description': 'Number of logical cycles for the algorithm',\n", + " 'explanation': 'To execute the algorithm using _Parallel Synthesis Sequential Pauli Computation_ (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 0 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 1 CCZ and 0 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.',\n", + " 'label': 'Algorithmic depth',\n", + " 'path': 'physicalCounts/breakdown/algorithmicLogicalDepth'},\n", + " {'description': 'Number of logical cycles performed',\n", + " 'explanation': \"This number is usually equal to the logical depth of the algorithm, which is 3. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.\",\n", + " 'label': 'Logical depth',\n", + " 'path': 'physicalCounts/breakdown/logicalDepth'},\n", + " {'description': 'Number of T states consumed by the algorithm',\n", + " 'explanation': 'To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 1 CCZ and 0 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.',\n", + " 'label': 'Number of T states',\n", + " 'path': 'physicalCounts/breakdown/numTstates'},\n", + " {'description': \"Number of T factories capable of producing the demanded 4 T states during the algorithm's runtime\",\n", + " 'explanation': 'The total number of T factories 4 that are executed in parallel is computed as $\\\\left\\\\lceil\\\\dfrac{4\\\\;\\\\text{T states} \\\\cdot 36us 400ns\\\\;\\\\text{T factory duration}}{1\\\\;\\\\text{T states per T factory} \\\\cdot 46us 800ns\\\\;\\\\text{algorithm runtime}}\\\\right\\\\rceil$',\n", + " 'label': 'Number of T factories',\n", + " 'path': 'physicalCounts/breakdown/numTfactories'},\n", + " {'description': 'Number of times all T factories are invoked',\n", + " 'explanation': 'In order to prepare the 4 T states, the 4 copies of the T factory are repeatedly invoked 1 times.',\n", + " 'label': 'Number of T factory invocations',\n", + " 'path': 'physicalCounts/breakdown/numTfactoryRuns'},\n", + " {'description': 'Number of physical qubits for the algorithm after layout',\n", + " 'explanation': 'The 2430 are the product of the 15 logical qubits after layout and the 162 physical qubits that encode a single logical qubit.',\n", + " 'label': 'Physical algorithmic qubits',\n", + " 'path': 'physicalCounts/breakdown/physicalQubitsForAlgorithm'},\n", + " {'description': 'Number of physical qubits for the T factories',\n", + " 'explanation': 'Each T factory requires 3920 physical qubits and we run 4 in parallel, therefore we need $15680 = 3920 \\\\cdot 4$ qubits.',\n", + " 'label': 'Physical T factory qubits',\n", + " 'path': 'physicalCounts/breakdown/physicalQubitsForTfactories'},\n", + " {'description': 'The minimum logical qubit error rate required to run the algorithm within the error budget',\n", + " 'explanation': 'The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 15 logical qubits and the total cycle count 13.',\n", + " 'label': 'Required logical qubit error rate',\n", + " 'path': 'physicalCountsFormatted/requiredLogicalQubitErrorRate'},\n", + " {'description': 'The minimum T state error rate required for distilled T states',\n", + " 'explanation': 'The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 4.',\n", + " 'label': 'Required logical T state error rate',\n", + " 'path': 'physicalCountsFormatted/requiredLogicalTstateErrorRate'},\n", + " {'description': 'Number of T states to implement a rotation with an arbitrary angle',\n", + " 'explanation': 'The number of T states to implement a rotation with an arbitrary angle is $\\\\lceil 0.53 \\\\log_2(0 / 0) + 5.3\\\\rceil$ [[arXiv:2203.10064](https://arxiv.org/abs/2203.10064)]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.',\n", + " 'label': 'Number of T states per rotation',\n", + " 'path': 'physicalCountsFormatted/numTsPerRotation'}],\n", + " 'title': 'Resource estimates breakdown'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Name of QEC scheme',\n", + " 'explanation': 'You can load pre-defined QEC schemes by using the name `surface_code` or `floquet_code`. The latter only works with Majorana qubits.',\n", + " 'label': 'QEC scheme',\n", + " 'path': 'jobParams/qecScheme/name'},\n", + " {'description': 'Required code distance for error correction',\n", + " 'explanation': 'The code distance is the smallest odd integer greater or equal to $\\\\dfrac{2\\\\log(0.03 / 0.000002564102564102564)}{\\\\log(0.01/0.001)} - 1$',\n", + " 'label': 'Code distance',\n", + " 'path': 'logicalQubit/codeDistance'},\n", + " {'description': 'Number of physical qubits per logical qubit',\n", + " 'explanation': 'The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.',\n", + " 'label': 'Physical qubits',\n", + " 'path': 'logicalQubit/physicalQubits'},\n", + " {'description': 'Duration of a logical cycle in nanoseconds',\n", + " 'explanation': 'The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.',\n", + " 'label': 'Logical cycle time',\n", + " 'path': 'physicalCountsFormatted/logicalCycleTime'},\n", + " {'description': 'Logical qubit error rate',\n", + " 'explanation': 'The logical qubit error rate is computed as $0.03 \\\\cdot \\\\left(\\\\dfrac{0.001}{0.01}\\\\right)^\\\\frac{9 + 1}{2}$',\n", + " 'label': 'Logical qubit error rate',\n", + " 'path': 'physicalCountsFormatted/logicalErrorRate'},\n", + " {'description': 'Crossing prefactor used in QEC scheme',\n", + " 'explanation': 'The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.',\n", + " 'label': 'Crossing prefactor',\n", + " 'path': 'jobParams/qecScheme/crossingPrefactor'},\n", + " {'description': 'Error correction threshold used in QEC scheme',\n", + " 'explanation': 'The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.',\n", + " 'label': 'Error correction threshold',\n", + " 'path': 'jobParams/qecScheme/errorCorrectionThreshold'},\n", + " {'description': 'QEC scheme formula used to compute logical cycle time',\n", + " 'explanation': 'This is the formula that is used to compute the logical cycle time 3us 600ns.',\n", + " 'label': 'Logical cycle time formula',\n", + " 'path': 'jobParams/qecScheme/logicalCycleTime'},\n", + " {'description': 'QEC scheme formula used to compute number of physical qubits per logical qubit',\n", + " 'explanation': 'This is the formula that is used to compute the number of physical qubits per logical qubits 162.',\n", + " 'label': 'Physical qubits formula',\n", + " 'path': 'jobParams/qecScheme/physicalQubitsPerLogicalQubit'}],\n", + " 'title': 'Logical qubit parameters'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Number of physical qubits for a single T factory',\n", + " 'explanation': 'This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.',\n", + " 'label': 'Physical qubits',\n", + " 'path': 'tfactory/physicalQubits'},\n", + " {'description': 'Runtime of a single T factory',\n", + " 'explanation': 'The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.',\n", + " 'label': 'Runtime',\n", + " 'path': 'physicalCountsFormatted/tfactoryRuntime'},\n", + " {'description': 'Number of output T states produced in a single run of T factory',\n", + " 'explanation': 'The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.13e-5.',\n", + " 'label': 'Number of output T states per run',\n", + " 'path': 'tfactory/numTstates'},\n", + " {'description': 'Number of physical input T states consumed in a single run of a T factory',\n", + " 'explanation': 'This value includes the physical input T states of all copies of the distillation unit in the first round.',\n", + " 'label': 'Number of input T states per run',\n", + " 'path': 'tfactory/numInputTstates'},\n", + " {'description': 'The number of distillation rounds',\n", + " 'explanation': 'This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.',\n", + " 'label': 'Distillation rounds',\n", + " 'path': 'tfactory/numRounds'},\n", + " {'description': 'The number of units in each round of distillation',\n", + " 'explanation': 'This is the number of copies for the distillation units per round.',\n", + " 'label': 'Distillation units per round',\n", + " 'path': 'physicalCountsFormatted/numUnitsPerRound'},\n", + " {'description': 'The types of distillation units',\n", + " 'explanation': 'These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.',\n", + " 'label': 'Distillation units',\n", + " 'path': 'physicalCountsFormatted/unitNamePerRound'},\n", + " {'description': 'The code distance in each round of distillation',\n", + " 'explanation': 'This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.',\n", + " 'label': 'Distillation code distances',\n", + " 'path': 'physicalCountsFormatted/codeDistancePerRound'},\n", + " {'description': 'The number of physical qubits used in each round of distillation',\n", + " 'explanation': 'The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.',\n", + " 'label': 'Number of physical qubits per round',\n", + " 'path': 'physicalCountsFormatted/physicalQubitsPerRound'},\n", + " {'description': 'The runtime of each distillation round',\n", + " 'explanation': 'The runtime of the T factory is the sum of the runtimes in all rounds.',\n", + " 'label': 'Runtime per round',\n", + " 'path': 'physicalCountsFormatted/tfactoryRuntimePerRound'},\n", + " {'description': 'Logical T state error rate',\n", + " 'explanation': 'This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 1.25e-4.',\n", + " 'label': 'Logical T state error rate',\n", + " 'path': 'physicalCountsFormatted/tstateLogicalErrorRate'}],\n", + " 'title': 'T factory parameters'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Number of logical qubits in the input quantum program',\n", + " 'explanation': 'We determine 15 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.',\n", + " 'label': 'Logical qubits (pre-layout)',\n", + " 'path': 'logicalCounts/numQubits'},\n", + " {'description': 'Number of T gates in the input quantum program',\n", + " 'explanation': 'This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.',\n", + " 'label': 'T gates',\n", + " 'path': 'logicalCounts/tCount'},\n", + " {'description': 'Number of rotation gates in the input quantum program',\n", + " 'explanation': 'This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.',\n", + " 'label': 'Rotation gates',\n", + " 'path': 'logicalCounts/rotationCount'},\n", + " {'description': 'Depth of rotation gates in the input quantum program',\n", + " 'explanation': 'This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.',\n", + " 'label': 'Rotation depth',\n", + " 'path': 'logicalCounts/rotationDepth'},\n", + " {'description': 'Number of CCZ-gates in the input quantum program',\n", + " 'explanation': 'This is the number of CCZ gates.',\n", + " 'label': 'CCZ gates',\n", + " 'path': 'logicalCounts/cczCount'},\n", + " {'description': 'Number of CCiX-gates in the input quantum program',\n", + " 'explanation': 'This is the number of CCiX gates, which applies $-iX$ controlled on two control qubits [[1212.5069](https://arxiv.org/abs/1212.5069)].',\n", + " 'label': 'CCiX gates',\n", + " 'path': 'logicalCounts/ccixCount'},\n", + " {'description': 'Number of single qubit measurements in the input quantum program',\n", + " 'explanation': 'This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.',\n", + " 'label': 'Measurement operations',\n", + " 'path': 'logicalCounts/measurementCount'}],\n", + " 'title': 'Pre-layout logical resources'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Total error budget for the algorithm',\n", + " 'explanation': \"The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget $\\\\epsilon = \\\\epsilon_{\\\\log} + \\\\epsilon_{\\\\rm dis} + \\\\epsilon_{\\\\rm syn}$ is uniformly distributed and applies to errors $\\\\epsilon_{\\\\log}$ to implement logical qubits, an error budget $\\\\epsilon_{\\\\rm dis}$ to produce T states through distillation, and an error budget $\\\\epsilon_{\\\\rm syn}$ to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets $\\\\epsilon_{\\\\rm dis}$ and $\\\\epsilon_{\\\\rm syn}$ are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.\",\n", + " 'label': 'Total error budget',\n", + " 'path': 'physicalCountsFormatted/errorBudget'},\n", + " {'description': 'Probability of at least one logical error',\n", + " 'explanation': 'This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.',\n", + " 'label': 'Logical error probability',\n", + " 'path': 'physicalCountsFormatted/errorBudgetLogical'},\n", + " {'description': 'Probability of at least one faulty T distillation',\n", + " 'explanation': 'This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.',\n", + " 'label': 'T distillation error probability',\n", + " 'path': 'physicalCountsFormatted/errorBudgetTstates'},\n", + " {'description': 'Probability of at least one failed rotation synthesis',\n", + " 'explanation': 'This is one third of the total error budget 1.00e-3.',\n", + " 'label': 'Rotation synthesis error probability',\n", + " 'path': 'physicalCountsFormatted/errorBudgetRotations'}],\n", + " 'title': 'Assumed error budget'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Some descriptive name for the qubit model',\n", + " 'explanation': 'You can load pre-defined qubit parameters by using the names `qubit_gate_ns_e3`, `qubit_gate_ns_e4`, `qubit_gate_us_e3`, `qubit_gate_us_e4`, `qubit_maj_ns_e4`, or `qubit_maj_ns_e6`. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).',\n", + " 'label': 'Qubit name',\n", + " 'path': 'jobParams/qubitParams/name'},\n", + " {'description': 'Underlying qubit technology (gate-based or Majorana)',\n", + " 'explanation': 'When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either *gate-based* or *Majorana*. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.',\n", + " 'label': 'Instruction set',\n", + " 'path': 'jobParams/qubitParams/instructionSet'},\n", + " {'description': 'Operation time for single-qubit measurement (t_meas) in ns',\n", + " 'explanation': 'This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.',\n", + " 'label': 'Single-qubit measurement time',\n", + " 'path': 'jobParams/qubitParams/oneQubitMeasurementTime'},\n", + " {'description': 'Operation time for single-qubit gate (t_gate) in ns',\n", + " 'explanation': 'This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.',\n", + " 'label': 'Single-qubit gate time',\n", + " 'path': 'jobParams/qubitParams/oneQubitGateTime'},\n", + " {'description': 'Operation time for two-qubit gate in ns',\n", + " 'explanation': 'This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.',\n", + " 'label': 'Two-qubit gate time',\n", + " 'path': 'jobParams/qubitParams/twoQubitGateTime'},\n", + " {'description': 'Operation time for a T gate',\n", + " 'explanation': 'This is the operation time in nanoseconds to execute a T gate.',\n", + " 'label': 'T gate time',\n", + " 'path': 'jobParams/qubitParams/tGateTime'},\n", + " {'description': 'Error rate for single-qubit measurement',\n", + " 'explanation': 'This is the probability in which a single-qubit measurement in the Pauli basis may fail.',\n", + " 'label': 'Single-qubit measurement error rate',\n", + " 'path': 'jobParams/qubitParams/oneQubitMeasurementErrorRate'},\n", + " {'description': 'Error rate for single-qubit Clifford gate (p)',\n", + " 'explanation': 'This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.',\n", + " 'label': 'Single-qubit error rate',\n", + " 'path': 'jobParams/qubitParams/oneQubitGateErrorRate'},\n", + " {'description': 'Error rate for two-qubit Clifford gate',\n", + " 'explanation': 'This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.',\n", + " 'label': 'Two-qubit error rate',\n", + " 'path': 'jobParams/qubitParams/twoQubitGateErrorRate'},\n", + " {'description': 'Error rate to prepare single-qubit T state or apply a T gate (p_T)',\n", + " 'explanation': 'This is the probability in which executing a single T gate may fail.',\n", + " 'label': 'T gate error rate',\n", + " 'path': 'jobParams/qubitParams/tGateErrorRate'}],\n", + " 'title': 'Physical qubit parameters'}]},\n", + " 'status': 'success',\n", + " 'tfactory': {'codeDistancePerRound': [7],\n", + " 'logicalErrorRate': 2.133500000000001e-05,\n", + " 'numInputTstates': 30,\n", + " 'numRounds': 1,\n", + " 'numTstates': 1,\n", + " 'numUnitsPerRound': [2],\n", + " 'physicalQubits': 3920,\n", + " 'physicalQubitsPerRound': [3920],\n", + " 'runtime': 36400.0,\n", + " 'runtimePerRound': [36400.0],\n", + " 'unitNamePerRound': ['15-to-1 space efficient logical']}}" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# If you need to pull up the results of an old job, use its job ID with qsharp.azure.output command\n", "# result = qsharp.azure.output(\"...\")\n", @@ -360,7 +1978,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 64, "metadata": { "jupyter": { "outputs_hidden": false, @@ -386,7 +2004,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 65, "metadata": { "jupyter": { "outputs_hidden": false, @@ -398,10 +2016,37 @@ } } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Logical algorithmic qubits = 15\n", + "Algorithmic depth = 3\n", + "Score = 45\n" + ] + }, + { + "data": { + "text/plain": [ + "45" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "evaluate_results(result)" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/iQuHack-challenge-2023-task1.ipynb b/iQuHack-challenge-2023-task1.ipynb index 6a0f1d3..9c06fd1 100644 --- a/iQuHack-challenge-2023-task1.ipynb +++ b/iQuHack-challenge-2023-task1.ipynb @@ -34,7 +34,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": { "jupyter": { "outputs_hidden": false, @@ -46,7 +46,47 @@ } } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[\n", + " {\n", + " \"cloudName\": \"AzureCloud\",\n", + " \"homeTenantId\": \"aaf653e1-0bcd-4c2c-8658-12eb03e15774\",\n", + " \"id\": \"6d61051a-6e40-4845-a03a-3c5160bb5629\",\n", + " \"isDefault\": true,\n", + " \"managedByTenants\": [\n", + " {\n", + " \"tenantId\": \"d0ecd01b-d782-448e-bae0-c3cad0e0543a\"\n", + " },\n", + " {\n", + " \"tenantId\": \"94c4857e-1130-4ab8-8eac-069b40c9db20\"\n", + " },\n", + " {\n", + " \"tenantId\": \"f702a9dc-ae48-4dc7-8f0a-8155a6dfa4e5\"\n", + " }\n", + " ],\n", + " \"name\": \"Azure for Students\",\n", + " \"state\": \"Enabled\",\n", + " \"tenantId\": \"aaf653e1-0bcd-4c2c-8658-12eb03e15774\",\n", + " \"user\": {\n", + " \"name\": \"papadm2@rpi.edu\",\n", + " \"type\": \"user\"\n", + " }\n", + " }\n", + "]\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING: A web browser has been opened at https://login.microsoftonline.com/organizations/oauth2/v2.0/authorize. Please continue the login in the web browser. If no web browser is available or if the web browser fails to open, use device code flow with `az login --use-device-code`.\n" + ] + } + ], "source": [ "!az login" ] @@ -66,7 +106,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": { "jupyter": { "outputs_hidden": false, @@ -87,7 +127,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": { "jupyter": { "outputs_hidden": false, @@ -108,7 +148,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": { "jupyter": { "outputs_hidden": false, @@ -144,7 +184,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 57, "metadata": { "jupyter": { "outputs_hidden": false, @@ -168,22 +208,19 @@ "// Task 1. Warm up with simple bit manipulation\n", "// (input will contain 3 qubits)\n", "operation Task1(input : Qubit[], target : Qubit) : Unit is Adj {\n", - " use aux = Qubit();\n", " within {\n", - " CNOT(input[0], aux);\n", - " CNOT(input[1], aux);\n", - " CNOT(input[0], input[2]);\n", - " CNOT(input[1], input[0]);\n", " CNOT(input[2], input[0]);\n", + " CNOT(input[2], input[1]);\n", + " CNOT(input[1], input[0]);\n", " } apply {\n", - " Controlled X([aux, input[0]], target);\n", + " Controlled X([input[1], input[0]], target);\n", " }\n", "}" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 58, "metadata": { "jupyter": { "outputs_hidden": false, @@ -239,7 +276,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 59, "metadata": { "jupyter": { "outputs_hidden": false, @@ -251,7 +288,462 @@ } } }, - "outputs": [], + "outputs": [ + { + "data": { + "application/x-qsharp-data": "{\"diagnostic_kind\":\"state-vector\",\"qubit_ids\":[0,1,2,3],\"n_qubits\":4,\"amplitudes\":{\"0\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"1\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"2\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"3\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"4\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"5\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"6\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"7\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"8\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"9\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"10\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"11\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"12\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"13\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"14\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"15\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0}}}", + "text/html": [ + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "
Qubit IDs0, 1, 2, 3
Basis state (bitstring)AmplitudeMeas. Pr.
$\\left|0000\\right\\rangle$$0.3536 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|0001\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|0010\\right\\rangle$$0.3536 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|0011\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|0100\\right\\rangle$$0.3536 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|0101\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|0110\\right\\rangle$$0.3536 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|0111\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|1000\\right\\rangle$$0.3536 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|1001\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|1010\\right\\rangle$$0.3536 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|1011\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|1100\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|1101\\right\\rangle$$0.3536 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|1110\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|1111\\right\\rangle$$0.3536 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

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" + ], + "text/plain": [ + "|0000⟩\t0.35355339059327384 + 0𝑖\n", + "|0001⟩\t0 + 0𝑖\n", + "|0010⟩\t0.35355339059327384 + 0𝑖\n", + "|0011⟩\t0 + 0𝑖\n", + "|0100⟩\t0.35355339059327384 + 0𝑖\n", + "|0101⟩\t0 + 0𝑖\n", + "|0110⟩\t0.35355339059327384 + 0𝑖\n", + "|0111⟩\t0 + 0𝑖\n", + "|1000⟩\t0.35355339059327384 + 0𝑖\n", + "|1001⟩\t0 + 0𝑖\n", + "|1010⟩\t0.35355339059327384 + 0𝑖\n", + "|1011⟩\t0 + 0𝑖\n", + "|1100⟩\t0 + 0𝑖\n", + "|1101⟩\t0.35355339059327384 + 0𝑖\n", + "|1110⟩\t0 + 0𝑖\n", + "|1111⟩\t0.35355339059327384 + 0𝑖" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "()" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# Note that in the output of this cell the target qubit corresponds to the rightmost bit\n", "qsharp.config[\"dump.basisStateLabelingConvention\"]=\"Bitstring\"\n", @@ -276,7 +768,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 60, "metadata": { "jupyter": { "outputs_hidden": false, @@ -288,7 +780,56 @@ } } }, - "outputs": [], + "outputs": [ + { + "data": { + "application/x-qsharp-data": "\"Connecting to Azure Quantum...\"", + "text/plain": [ + "Connecting to Azure Quantum..." + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Connected to Azure Quantum workspace iQuHack-Workspace-micpap25 in location eastus.\r\n" + ] + }, + { + "data": { + "text/plain": [ + "[{'id': 'ionq.qpu', 'current_availability': {}, 'average_queue_time': 265936},\n", + " {'id': 'ionq.qpu.aria-1', 'current_availability': {}, 'average_queue_time': 338807},\n", + " {'id': 'ionq.simulator', 'current_availability': {}, 'average_queue_time': 3},\n", + " {'id': 'microsoft.estimator', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.hqs-lt-s1', 'current_availability': {}, 'average_queue_time': 257411},\n", + " {'id': 'quantinuum.hqs-lt-s1-apival', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.hqs-lt-s2', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.hqs-lt-s2-apival', 'current_availability': {}, 'average_queue_time': 1},\n", + " {'id': 'quantinuum.hqs-lt-s1-sim', 'current_availability': {}, 'average_queue_time': 4312},\n", + " {'id': 'quantinuum.hqs-lt-s2-sim', 'current_availability': {}, 'average_queue_time': 140},\n", + " {'id': 'quantinuum.hqs-lt', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.qpu.h1-1', 'current_availability': {}, 'average_queue_time': 257411},\n", + " {'id': 'quantinuum.sim.h1-1sc', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.qpu.h1-2', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.sim.h1-2sc', 'current_availability': {}, 'average_queue_time': 1},\n", + " {'id': 'quantinuum.sim.h1-1e', 'current_availability': {}, 'average_queue_time': 4312},\n", + " {'id': 'quantinuum.sim.h1-2e', 'current_availability': {}, 'average_queue_time': 140},\n", + " {'id': 'quantinuum.qpu.h1', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'rigetti.sim.qvm', 'current_availability': {}, 'average_queue_time': 5},\n", + " {'id': 'rigetti.qpu.aspen-11', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'rigetti.qpu.aspen-m-2', 'current_availability': {}, 'average_queue_time': 5},\n", + " {'id': 'rigetti.qpu.aspen-m-3', 'current_availability': {}, 'average_queue_time': 5}]" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# If you're using this notebook in Azure Quantum hosted notebooks, remove the credential=\"CLI\" parameter!\n", "# If you're using this notebook in qBraid, keep it\n", @@ -300,7 +841,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 61, "metadata": { "jupyter": { "outputs_hidden": false, @@ -312,14 +853,33 @@ } } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Loading package Microsoft.Quantum.Providers.Core and dependencies...\r\n", + "Active target is now microsoft.estimator\r\n" + ] + }, + { + "data": { + "text/plain": [ + "{'id': 'microsoft.estimator', 'current_availability': {}, 'average_queue_time': 0}" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "qsharp.azure.target(\"microsoft.estimator\")" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 62, "metadata": { "jupyter": { "outputs_hidden": false, @@ -331,7 +891,21 @@ } } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Submitting Task1_ResourceEstimationWrapper to target microsoft.estimator...\n", + "Job successfully submitted.\n", + " Job name: RE for the task 1\n", + " Job ID: 804f1a1a-674a-4880-a21c-cc7008a5b18f\n", + "Waiting up to 30 seconds for Azure Quantum job to complete...\n", + "[1:52:36 PM] Current job status: Executing\n", + "[1:52:41 PM] Current job status: Succeeded\n" + ] + } + ], "source": [ "# Update job name to a more descriptive string to make it easier to find it in Job Management tab later\n", "result = qsharp.azure.execute(Task1_ResourceEstimationWrapper, jobName=\"RE for the task 1\")" @@ -339,7 +913,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 63, "metadata": { "jupyter": { "outputs_hidden": false, @@ -351,7 +925,1051 @@ } } }, - "outputs": [], + "outputs": [ + { + "data": { + "application/x-qsharp-data": "{\"errorBudget\":{\"logical\":0.0005,\"rotations\":0.0,\"tstates\":0.0005},\"jobParams\":{\"errorBudget\":0.001,\"qecScheme\":{\"crossingPrefactor\":0.03,\"errorCorrectionThreshold\":0.01,\"logicalCycleTime\":\"(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance\",\"name\":\"surface_code\",\"physicalQubitsPerLogicalQubit\":\"2 * codeDistance * codeDistance\"},\"qubitParams\":{\"instructionSet\":\"GateBased\",\"name\":\"qubit_gate_ns_e3\",\"oneQubitGateErrorRate\":0.001,\"oneQubitGateTime\":\"50 ns\",\"oneQubitMeasurementErrorRate\":0.001,\"oneQubitMeasurementTime\":\"100 ns\",\"tGateErrorRate\":0.001,\"tGateTime\":\"50 ns\",\"twoQubitGateErrorRate\":0.001,\"twoQubitGateTime\":\"50 ns\"}},\"logicalCounts\":{\"ccixCount\":0,\"cczCount\":1,\"measurementCount\":0,\"numQubits\":4,\"rotationCount\":0,\"rotationDepth\":0,\"tCount\":0},\"logicalQubit\":{\"codeDistance\":9,\"logicalCycleTime\":3600.0,\"logicalErrorRate\":3.0000000000000015E-07,\"physicalQubits\":162},\"physicalCounts\":{\"breakdown\":{\"algorithmicLogicalDepth\":3,\"algorithmicLogicalQubits\":15,\"cliffordErrorRate\":0.001,\"logicalDepth\":13,\"numTfactories\":4,\"numTfactoryRuns\":1,\"numTsPerRotation\":null,\"numTstates\":4,\"physicalQubitsForAlgorithm\":2430,\"physicalQubitsForTfactories\":15680,\"requiredLogicalQubitErrorRate\":2.564102564102564E-06,\"requiredLogicalTstateErrorRate\":0.000125},\"physicalQubits\":18110,\"runtime\":46800},\"physicalCountsFormatted\":{\"codeDistancePerRound\":\"7\",\"errorBudget\":\"1.00e-3\",\"errorBudgetLogical\":\"5.00e-4\",\"errorBudgetRotations\":\"0.00e0\",\"errorBudgetTstates\":\"5.00e-4\",\"logicalCycleTime\":\"3us 600ns\",\"logicalErrorRate\":\"3.00e-7\",\"numTsPerRotation\":\"No rotations in algorithm\",\"numUnitsPerRound\":\"2\",\"physicalQubitsForTfactoriesPercentage\":\"86.58 %\",\"physicalQubitsPerRound\":\"3920\",\"requiredLogicalQubitErrorRate\":\"2.56e-6\",\"requiredLogicalTstateErrorRate\":\"1.25e-4\",\"runtime\":\"46us 800ns\",\"tfactoryRuntime\":\"36us 400ns\",\"tfactoryRuntimePerRound\":\"36us 400ns\",\"tstateLogicalErrorRate\":\"2.13e-5\",\"unitNamePerRound\":\"15-to-1 space efficient logical\"},\"reportData\":{\"assumptions\":[\"_More details on the following lists of assumptions can be found in the paper [Accessing requirements for scaling quantum computers and their applications](https://aka.ms/AQ/RE/Paper)._\",\"**Uniform independent physical noise.** We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.\",\"**Efficient classical computation.** We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.\",\"**Extraction circuits for planar quantum ISA.** We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).\",\"**Uniform independent logical noise.** We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.\",\"**Negligible Clifford costs for synthesis.** We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.\",\"**Smooth magic state consumption rate.** We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.\"],\"groups\":[{\"alwaysVisible\":true,\"entries\":[{\"description\":\"Number of physical qubits\",\"explanation\":\"This value represents the total number of physical qubits, which is the sum of 2430 physical qubits to implement the algorithm logic, and 15680 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.\",\"label\":\"Physical qubits\",\"path\":\"physicalCounts/physicalQubits\"},{\"description\":\"Total runtime\",\"explanation\":\"This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (3us 600ns) multiplied by the 3 logical cycles to run the algorithm. If however the duration of a single T factory (here: 36us 400ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.\",\"label\":\"Runtime\",\"path\":\"physicalCountsFormatted/runtime\"}],\"title\":\"Physical resource estimates\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of logical qubits for the algorithm after layout\",\"explanation\":\"Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the $Q_{\\\\rm alg} = 4$ logical qubits in the input algorithm, we require in total $2 \\\\cdot Q_{\\\\rm alg} + \\\\lceil \\\\sqrt{8 \\\\cdot Q_{\\\\rm alg}}\\\\rceil + 1 = 15$ logical qubits.\",\"label\":\"Logical algorithmic qubits\",\"path\":\"physicalCounts/breakdown/algorithmicLogicalQubits\"},{\"description\":\"Number of logical cycles for the algorithm\",\"explanation\":\"To execute the algorithm using _Parallel Synthesis Sequential Pauli Computation_ (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 0 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 1 CCZ and 0 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.\",\"label\":\"Algorithmic depth\",\"path\":\"physicalCounts/breakdown/algorithmicLogicalDepth\"},{\"description\":\"Number of logical cycles performed\",\"explanation\":\"This number is usually equal to the logical depth of the algorithm, which is 3. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.\",\"label\":\"Logical depth\",\"path\":\"physicalCounts/breakdown/logicalDepth\"},{\"description\":\"Number of T states consumed by the algorithm\",\"explanation\":\"To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 1 CCZ and 0 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.\",\"label\":\"Number of T states\",\"path\":\"physicalCounts/breakdown/numTstates\"},{\"description\":\"Number of T factories capable of producing the demanded 4 T states during the algorithm's runtime\",\"explanation\":\"The total number of T factories 4 that are executed in parallel is computed as $\\\\left\\\\lceil\\\\dfrac{4\\\\;\\\\text{T states} \\\\cdot 36us 400ns\\\\;\\\\text{T factory duration}}{1\\\\;\\\\text{T states per T factory} \\\\cdot 46us 800ns\\\\;\\\\text{algorithm runtime}}\\\\right\\\\rceil$\",\"label\":\"Number of T factories\",\"path\":\"physicalCounts/breakdown/numTfactories\"},{\"description\":\"Number of times all T factories are invoked\",\"explanation\":\"In order to prepare the 4 T states, the 4 copies of the T factory are repeatedly invoked 1 times.\",\"label\":\"Number of T factory invocations\",\"path\":\"physicalCounts/breakdown/numTfactoryRuns\"},{\"description\":\"Number of physical qubits for the algorithm after layout\",\"explanation\":\"The 2430 are the product of the 15 logical qubits after layout and the 162 physical qubits that encode a single logical qubit.\",\"label\":\"Physical algorithmic qubits\",\"path\":\"physicalCounts/breakdown/physicalQubitsForAlgorithm\"},{\"description\":\"Number of physical qubits for the T factories\",\"explanation\":\"Each T factory requires 3920 physical qubits and we run 4 in parallel, therefore we need $15680 = 3920 \\\\cdot 4$ qubits.\",\"label\":\"Physical T factory qubits\",\"path\":\"physicalCounts/breakdown/physicalQubitsForTfactories\"},{\"description\":\"The minimum logical qubit error rate required to run the algorithm within the error budget\",\"explanation\":\"The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 15 logical qubits and the total cycle count 13.\",\"label\":\"Required logical qubit error rate\",\"path\":\"physicalCountsFormatted/requiredLogicalQubitErrorRate\"},{\"description\":\"The minimum T state error rate required for distilled T states\",\"explanation\":\"The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 4.\",\"label\":\"Required logical T state error rate\",\"path\":\"physicalCountsFormatted/requiredLogicalTstateErrorRate\"},{\"description\":\"Number of T states to implement a rotation with an arbitrary angle\",\"explanation\":\"The number of T states to implement a rotation with an arbitrary angle is $\\\\lceil 0.53 \\\\log_2(0 / 0) + 5.3\\\\rceil$ [[arXiv:2203.10064](https://arxiv.org/abs/2203.10064)]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.\",\"label\":\"Number of T states per rotation\",\"path\":\"physicalCountsFormatted/numTsPerRotation\"}],\"title\":\"Resource estimates breakdown\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Name of QEC scheme\",\"explanation\":\"You can load pre-defined QEC schemes by using the name `surface_code` or `floquet_code`. The latter only works with Majorana qubits.\",\"label\":\"QEC scheme\",\"path\":\"jobParams/qecScheme/name\"},{\"description\":\"Required code distance for error correction\",\"explanation\":\"The code distance is the smallest odd integer greater or equal to $\\\\dfrac{2\\\\log(0.03 / 0.000002564102564102564)}{\\\\log(0.01/0.001)} - 1$\",\"label\":\"Code distance\",\"path\":\"logicalQubit/codeDistance\"},{\"description\":\"Number of physical qubits per logical qubit\",\"explanation\":\"The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.\",\"label\":\"Physical qubits\",\"path\":\"logicalQubit/physicalQubits\"},{\"description\":\"Duration of a logical cycle in nanoseconds\",\"explanation\":\"The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.\",\"label\":\"Logical cycle time\",\"path\":\"physicalCountsFormatted/logicalCycleTime\"},{\"description\":\"Logical qubit error rate\",\"explanation\":\"The logical qubit error rate is computed as $0.03 \\\\cdot \\\\left(\\\\dfrac{0.001}{0.01}\\\\right)^\\\\frac{9 + 1}{2}$\",\"label\":\"Logical qubit error rate\",\"path\":\"physicalCountsFormatted/logicalErrorRate\"},{\"description\":\"Crossing prefactor used in QEC scheme\",\"explanation\":\"The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.\",\"label\":\"Crossing prefactor\",\"path\":\"jobParams/qecScheme/crossingPrefactor\"},{\"description\":\"Error correction threshold used in QEC scheme\",\"explanation\":\"The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.\",\"label\":\"Error correction threshold\",\"path\":\"jobParams/qecScheme/errorCorrectionThreshold\"},{\"description\":\"QEC scheme formula used to compute logical cycle time\",\"explanation\":\"This is the formula that is used to compute the logical cycle time 3us 600ns.\",\"label\":\"Logical cycle time formula\",\"path\":\"jobParams/qecScheme/logicalCycleTime\"},{\"description\":\"QEC scheme formula used to compute number of physical qubits per logical qubit\",\"explanation\":\"This is the formula that is used to compute the number of physical qubits per logical qubits 162.\",\"label\":\"Physical qubits formula\",\"path\":\"jobParams/qecScheme/physicalQubitsPerLogicalQubit\"}],\"title\":\"Logical qubit parameters\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of physical qubits for a single T factory\",\"explanation\":\"This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.\",\"label\":\"Physical qubits\",\"path\":\"tfactory/physicalQubits\"},{\"description\":\"Runtime of a single T factory\",\"explanation\":\"The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.\",\"label\":\"Runtime\",\"path\":\"physicalCountsFormatted/tfactoryRuntime\"},{\"description\":\"Number of output T states produced in a single run of T factory\",\"explanation\":\"The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.13e-5.\",\"label\":\"Number of output T states per run\",\"path\":\"tfactory/numTstates\"},{\"description\":\"Number of physical input T states consumed in a single run of a T factory\",\"explanation\":\"This value includes the physical input T states of all copies of the distillation unit in the first round.\",\"label\":\"Number of input T states per run\",\"path\":\"tfactory/numInputTstates\"},{\"description\":\"The number of distillation rounds\",\"explanation\":\"This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.\",\"label\":\"Distillation rounds\",\"path\":\"tfactory/numRounds\"},{\"description\":\"The number of units in each round of distillation\",\"explanation\":\"This is the number of copies for the distillation units per round.\",\"label\":\"Distillation units per round\",\"path\":\"physicalCountsFormatted/numUnitsPerRound\"},{\"description\":\"The types of distillation units\",\"explanation\":\"These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.\",\"label\":\"Distillation units\",\"path\":\"physicalCountsFormatted/unitNamePerRound\"},{\"description\":\"The code distance in each round of distillation\",\"explanation\":\"This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.\",\"label\":\"Distillation code distances\",\"path\":\"physicalCountsFormatted/codeDistancePerRound\"},{\"description\":\"The number of physical qubits used in each round of distillation\",\"explanation\":\"The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.\",\"label\":\"Number of physical qubits per round\",\"path\":\"physicalCountsFormatted/physicalQubitsPerRound\"},{\"description\":\"The runtime of each distillation round\",\"explanation\":\"The runtime of the T factory is the sum of the runtimes in all rounds.\",\"label\":\"Runtime per round\",\"path\":\"physicalCountsFormatted/tfactoryRuntimePerRound\"},{\"description\":\"Logical T state error rate\",\"explanation\":\"This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 1.25e-4.\",\"label\":\"Logical T state error rate\",\"path\":\"physicalCountsFormatted/tstateLogicalErrorRate\"}],\"title\":\"T factory parameters\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of logical qubits in the input quantum program\",\"explanation\":\"We determine 15 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.\",\"label\":\"Logical qubits (pre-layout)\",\"path\":\"logicalCounts/numQubits\"},{\"description\":\"Number of T gates in the input quantum program\",\"explanation\":\"This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.\",\"label\":\"T gates\",\"path\":\"logicalCounts/tCount\"},{\"description\":\"Number of rotation gates in the input quantum program\",\"explanation\":\"This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.\",\"label\":\"Rotation gates\",\"path\":\"logicalCounts/rotationCount\"},{\"description\":\"Depth of rotation gates in the input quantum program\",\"explanation\":\"This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.\",\"label\":\"Rotation depth\",\"path\":\"logicalCounts/rotationDepth\"},{\"description\":\"Number of CCZ-gates in the input quantum program\",\"explanation\":\"This is the number of CCZ gates.\",\"label\":\"CCZ gates\",\"path\":\"logicalCounts/cczCount\"},{\"description\":\"Number of CCiX-gates in the input quantum program\",\"explanation\":\"This is the number of CCiX gates, which applies $-iX$ controlled on two control qubits [[1212.5069](https://arxiv.org/abs/1212.5069)].\",\"label\":\"CCiX gates\",\"path\":\"logicalCounts/ccixCount\"},{\"description\":\"Number of single qubit measurements in the input quantum program\",\"explanation\":\"This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.\",\"label\":\"Measurement operations\",\"path\":\"logicalCounts/measurementCount\"}],\"title\":\"Pre-layout logical resources\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Total error budget for the algorithm\",\"explanation\":\"The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget $\\\\epsilon = \\\\epsilon_{\\\\log} + \\\\epsilon_{\\\\rm dis} + \\\\epsilon_{\\\\rm syn}$ is uniformly distributed and applies to errors $\\\\epsilon_{\\\\log}$ to implement logical qubits, an error budget $\\\\epsilon_{\\\\rm dis}$ to produce T states through distillation, and an error budget $\\\\epsilon_{\\\\rm syn}$ to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets $\\\\epsilon_{\\\\rm dis}$ and $\\\\epsilon_{\\\\rm syn}$ are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.\",\"label\":\"Total error budget\",\"path\":\"physicalCountsFormatted/errorBudget\"},{\"description\":\"Probability of at least one logical error\",\"explanation\":\"This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.\",\"label\":\"Logical error probability\",\"path\":\"physicalCountsFormatted/errorBudgetLogical\"},{\"description\":\"Probability of at least one faulty T distillation\",\"explanation\":\"This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.\",\"label\":\"T distillation error probability\",\"path\":\"physicalCountsFormatted/errorBudgetTstates\"},{\"description\":\"Probability of at least one failed rotation synthesis\",\"explanation\":\"This is one third of the total error budget 1.00e-3.\",\"label\":\"Rotation synthesis error probability\",\"path\":\"physicalCountsFormatted/errorBudgetRotations\"}],\"title\":\"Assumed error budget\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Some descriptive name for the qubit model\",\"explanation\":\"You can load pre-defined qubit parameters by using the names `qubit_gate_ns_e3`, `qubit_gate_ns_e4`, `qubit_gate_us_e3`, `qubit_gate_us_e4`, `qubit_maj_ns_e4`, or `qubit_maj_ns_e6`. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or ¬µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).\",\"label\":\"Qubit name\",\"path\":\"jobParams/qubitParams/name\"},{\"description\":\"Underlying qubit technology (gate-based or Majorana)\",\"explanation\":\"When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either *gate-based* or *Majorana*. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.\",\"label\":\"Instruction set\",\"path\":\"jobParams/qubitParams/instructionSet\"},{\"description\":\"Operation time for single-qubit measurement (t_meas) in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.\",\"label\":\"Single-qubit measurement time\",\"path\":\"jobParams/qubitParams/oneQubitMeasurementTime\"},{\"description\":\"Operation time for single-qubit gate (t_gate) in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.\",\"label\":\"Single-qubit gate time\",\"path\":\"jobParams/qubitParams/oneQubitGateTime\"},{\"description\":\"Operation time for two-qubit gate in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.\",\"label\":\"Two-qubit gate time\",\"path\":\"jobParams/qubitParams/twoQubitGateTime\"},{\"description\":\"Operation time for a T gate\",\"explanation\":\"This is the operation time in nanoseconds to execute a T gate.\",\"label\":\"T gate time\",\"path\":\"jobParams/qubitParams/tGateTime\"},{\"description\":\"Error rate for single-qubit measurement\",\"explanation\":\"This is the probability in which a single-qubit measurement in the Pauli basis may fail.\",\"label\":\"Single-qubit measurement error rate\",\"path\":\"jobParams/qubitParams/oneQubitMeasurementErrorRate\"},{\"description\":\"Error rate for single-qubit Clifford gate (p)\",\"explanation\":\"This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.\",\"label\":\"Single-qubit error rate\",\"path\":\"jobParams/qubitParams/oneQubitGateErrorRate\"},{\"description\":\"Error rate for two-qubit Clifford gate\",\"explanation\":\"This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.\",\"label\":\"Two-qubit error rate\",\"path\":\"jobParams/qubitParams/twoQubitGateErrorRate\"},{\"description\":\"Error rate to prepare single-qubit T state or apply a T gate (p_T)\",\"explanation\":\"This is the probability in which executing a single T gate may fail.\",\"label\":\"T gate error rate\",\"path\":\"jobParams/qubitParams/tGateErrorRate\"}],\"title\":\"Physical qubit parameters\"}]},\"status\":\"success\",\"tfactory\":{\"codeDistancePerRound\":[7],\"logicalErrorRate\":2.133500000000001E-05,\"numInputTstates\":30,\"numRounds\":1,\"numTstates\":1,\"numUnitsPerRound\":[2],\"physicalQubits\":3920,\"physicalQubitsPerRound\":[3920],\"runtime\":36400.0,\"runtimePerRound\":[36400.0],\"unitNamePerRound\":[\"15-to-1 space efficient logical\"]}}", + "text/html": [ + "\r\n", + "
\r\n", + " \r\n", + " Physical resource estimates\r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "
Physical qubits18110\r\n", + "

Number of physical qubits

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This value represents the total number of physical qubits, which is the sum of 2430 physical qubits to implement the algorithm logic, and 15680 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.

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Runtime46us 800ns\r\n", + "

Total runtime

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This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (3us 600ns) multiplied by the 3 logical cycles to run the algorithm. If however the duration of a single T factory (here: 36us 400ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.

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Logical algorithmic qubits15\r\n", + "

Number of logical qubits for the algorithm after layout

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Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the \\(Q_{\\rm alg} = 4\\) logical qubits in the input algorithm, we require in total $2 \\cdot Q_{\\rm alg} + \\lceil \\sqrt{8 \\cdot Q_{\\rm alg}}\\rceil + 1 = 15$ logical qubits.

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Algorithmic depth3\r\n", + "

Number of logical cycles for the algorithm

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To execute the algorithm using Parallel Synthesis Sequential Pauli Computation (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 0 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 1 CCZ and 0 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.

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Logical depth13\r\n", + "

Number of logical cycles performed

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This number is usually equal to the logical depth of the algorithm, which is 3. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.

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Number of T states4\r\n", + "

Number of T states consumed by the algorithm

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To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 1 CCZ and 0 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.

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Number of T factories4\r\n", + "

Number of T factories capable of producing the demanded 4 T states during the algorithm's runtime

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The total number of T factories 4 that are executed in parallel is computed as \\(\\left\\lceil\\dfrac{4\\;\\text{T states} \\cdot 36us 400ns\\;\\text{T factory duration}}{1\\;\\text{T states per T factory} \\cdot 46us 800ns\\;\\text{algorithm runtime}}\\right\\rceil\\)

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Number of T factory invocations1\r\n", + "

Number of times all T factories are invoked

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In order to prepare the 4 T states, the 4 copies of the T factory are repeatedly invoked 1 times.

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Physical algorithmic qubits2430\r\n", + "

Number of physical qubits for the algorithm after layout

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The 2430 are the product of the 15 logical qubits after layout and the 162 physical qubits that encode a single logical qubit.

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Physical T factory qubits15680\r\n", + "

Number of physical qubits for the T factories

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Each T factory requires 3920 physical qubits and we run 4 in parallel, therefore we need $15680 = 3920 \\cdot 4$ qubits.

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Required logical qubit error rate2.56e-6\r\n", + "

The minimum logical qubit error rate required to run the algorithm within the error budget

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The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 15 logical qubits and the total cycle count 13.

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Required logical T state error rate1.25e-4\r\n", + "

The minimum T state error rate required for distilled T states

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The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 4.

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Number of T states per rotationNo rotations in algorithm\r\n", + "

Number of T states to implement a rotation with an arbitrary angle

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The number of T states to implement a rotation with an arbitrary angle is \\(\\lceil 0.53 \\log_2(0 / 0) + 5.3\\rceil\\) [arXiv:2203.10064]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.

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QEC schemesurface_code\r\n", + "

Name of QEC scheme

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You can load pre-defined QEC schemes by using the name surface_code or floquet_code. The latter only works with Majorana qubits.

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Code distance9\r\n", + "

Required code distance for error correction

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The code distance is the smallest odd integer greater or equal to \\(\\dfrac{2\\log(0.03 / 0.000002564102564102564)}{\\log(0.01/0.001)} - 1\\)

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Physical qubits162\r\n", + "

Number of physical qubits per logical qubit

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The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.

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Logical cycle time3us 600ns\r\n", + "

Duration of a logical cycle in nanoseconds

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The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.

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Logical qubit error rate3.00e-7\r\n", + "

Logical qubit error rate

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\r\n", + "

The logical qubit error rate is computed as $0.03 \\cdot \\left(\\dfrac{0.001}{0.01}\\right)^\\frac{9 + 1}{2}$

\n", + "\r\n", + "
Crossing prefactor0.03\r\n", + "

Crossing prefactor used in QEC scheme

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\r\n", + "

The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.

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Error correction threshold0.01\r\n", + "

Error correction threshold used in QEC scheme

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\r\n", + "

The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.

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Logical cycle time formula(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance\r\n", + "

QEC scheme formula used to compute logical cycle time

\n", + "\r\n", + "
\r\n", + "

This is the formula that is used to compute the logical cycle time 3us 600ns.

\n", + "\r\n", + "
Physical qubits formula2 * codeDistance * codeDistance\r\n", + "

QEC scheme formula used to compute number of physical qubits per logical qubit

\n", + "\r\n", + "
\r\n", + "

This is the formula that is used to compute the number of physical qubits per logical qubits 162.

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\r\n", + " \r\n", + " T factory parameters\r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "
Physical qubits3920\r\n", + "

Number of physical qubits for a single T factory

\n", + "\r\n", + "
\r\n", + "

This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.

\n", + "\r\n", + "
Runtime36us 400ns\r\n", + "

Runtime of a single T factory

\n", + "\r\n", + "
\r\n", + "

The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.

\n", + "\r\n", + "
Number of output T states per run1\r\n", + "

Number of output T states produced in a single run of T factory

\n", + "\r\n", + "
\r\n", + "

The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.13e-5.

\n", + "\r\n", + "
Number of input T states per run30\r\n", + "

Number of physical input T states consumed in a single run of a T factory

\n", + "\r\n", + "
\r\n", + "

This value includes the physical input T states of all copies of the distillation unit in the first round.

\n", + "\r\n", + "
Distillation rounds1\r\n", + "

The number of distillation rounds

\n", + "\r\n", + "
\r\n", + "

This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.

\n", + "\r\n", + "
Distillation units per round2\r\n", + "

The number of units in each round of distillation

\n", + "\r\n", + "
\r\n", + "

This is the number of copies for the distillation units per round.

\n", + "\r\n", + "
Distillation units15-to-1 space efficient logical\r\n", + "

The types of distillation units

\n", + "\r\n", + "
\r\n", + "

These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.

\n", + "\r\n", + "
Distillation code distances7\r\n", + "

The code distance in each round of distillation

\n", + "\r\n", + "
\r\n", + "

This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.

\n", + "\r\n", + "
Number of physical qubits per round3920\r\n", + "

The number of physical qubits used in each round of distillation

\n", + "\r\n", + "
\r\n", + "

The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.

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Runtime per round36us 400ns\r\n", + "

The runtime of each distillation round

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\r\n", + "

The runtime of the T factory is the sum of the runtimes in all rounds.

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Logical T state error rate2.13e-5\r\n", + "

Logical T state error rate

\n", + "\r\n", + "
\r\n", + "

This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 1.25e-4.

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\r\n", + " \r\n", + " Pre-layout logical resources\r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "
Logical qubits (pre-layout)4\r\n", + "

Number of logical qubits in the input quantum program

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\r\n", + "

We determine 15 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.

\n", + "\r\n", + "
T gates0\r\n", + "

Number of T gates in the input quantum program

\n", + "\r\n", + "
\r\n", + "

This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.

\n", + "\r\n", + "
Rotation gates0\r\n", + "

Number of rotation gates in the input quantum program

\n", + "\r\n", + "
\r\n", + "

This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.

\n", + "\r\n", + "
Rotation depth0\r\n", + "

Depth of rotation gates in the input quantum program

\n", + "\r\n", + "
\r\n", + "

This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.

\n", + "\r\n", + "
CCZ gates1\r\n", + "

Number of CCZ-gates in the input quantum program

\n", + "\r\n", + "
\r\n", + "

This is the number of CCZ gates.

\n", + "\r\n", + "
CCiX gates0\r\n", + "

Number of CCiX-gates in the input quantum program

\n", + "\r\n", + "
\r\n", + "

This is the number of CCiX gates, which applies \\(-iX\\) controlled on two control qubits [1212.5069].

\n", + "\r\n", + "
Measurement operations0\r\n", + "

Number of single qubit measurements in the input quantum program

\n", + "\r\n", + "
\r\n", + "

This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.

\n", + "\r\n", + "
\r\n", + "\r\n", + "
\r\n", + " \r\n", + " Assumed error budget\r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "
Total error budget1.00e-3\r\n", + "

Total error budget for the algorithm

\n", + "\r\n", + "
\r\n", + "

The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget \\(\\epsilon = \\epsilon_{\\log} + \\epsilon_{\\rm dis} + \\epsilon_{\\rm syn}\\) is uniformly distributed and applies to errors \\(\\epsilon_{\\log}\\) to implement logical qubits, an error budget \\(\\epsilon_{\\rm dis}\\) to produce T states through distillation, and an error budget \\(\\epsilon_{\\rm syn}\\) to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets \\(\\epsilon_{\\rm dis}\\) and \\(\\epsilon_{\\rm syn}\\) are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.

\n", + "\r\n", + "
Logical error probability5.00e-4\r\n", + "

Probability of at least one logical error

\n", + "\r\n", + "
\r\n", + "

This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.

\n", + "\r\n", + "
T distillation error probability5.00e-4\r\n", + "

Probability of at least one faulty T distillation

\n", + "\r\n", + "
\r\n", + "

This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.

\n", + "\r\n", + "
Rotation synthesis error probability0.00e0\r\n", + "

Probability of at least one failed rotation synthesis

\n", + "\r\n", + "
\r\n", + "

This is one third of the total error budget 1.00e-3.

\n", + "\r\n", + "
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\r\n", + " \r\n", + " Physical qubit parameters\r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "
Qubit namequbit_gate_ns_e3\r\n", + "

Some descriptive name for the qubit model

\n", + "\r\n", + "
\r\n", + "

You can load pre-defined qubit parameters by using the names qubit_gate_ns_e3, qubit_gate_ns_e4, qubit_gate_us_e3, qubit_gate_us_e4, qubit_maj_ns_e4, or qubit_maj_ns_e6. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).

\n", + "\r\n", + "
Instruction setGateBased\r\n", + "

Underlying qubit technology (gate-based or Majorana)

\n", + "\r\n", + "
\r\n", + "

When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either gate-based or Majorana. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.

\n", + "\r\n", + "
Single-qubit measurement time100 ns\r\n", + "

Operation time for single-qubit measurement (t_meas) in ns

\n", + "\r\n", + "
\r\n", + "

This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.

\n", + "\r\n", + "
Single-qubit gate time50 ns\r\n", + "

Operation time for single-qubit gate (t_gate) in ns

\n", + "\r\n", + "
\r\n", + "

This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.

\n", + "\r\n", + "
Two-qubit gate time50 ns\r\n", + "

Operation time for two-qubit gate in ns

\n", + "\r\n", + "
\r\n", + "

This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.

\n", + "\r\n", + "
T gate time50 ns\r\n", + "

Operation time for a T gate

\n", + "\r\n", + "
\r\n", + "

This is the operation time in nanoseconds to execute a T gate.

\n", + "\r\n", + "
Single-qubit measurement error rate0.001\r\n", + "

Error rate for single-qubit measurement

\n", + "\r\n", + "
\r\n", + "

This is the probability in which a single-qubit measurement in the Pauli basis may fail.

\n", + "\r\n", + "
Single-qubit error rate0.001\r\n", + "

Error rate for single-qubit Clifford gate (p)

\n", + "\r\n", + "
\r\n", + "

This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.

\n", + "\r\n", + "
Two-qubit error rate0.001\r\n", + "

Error rate for two-qubit Clifford gate

\n", + "\r\n", + "
\r\n", + "

This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.

\n", + "\r\n", + "
T gate error rate0.001\r\n", + "

Error rate to prepare single-qubit T state or apply a T gate (p_T)

\n", + "\r\n", + "
\r\n", + "

This is the probability in which executing a single T gate may fail.

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\r\n", + "
\r\n", + " Assumptions\r\n", + "
    \r\n", + "

  • More details on the following lists of assumptions can be found in the paper Accessing requirements for scaling quantum computers and their applications.

    \n", + "
    • \r\n", + "

  • Uniform independent physical noise. We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.

    \n", + "
    • \r\n", + "

  • Efficient classical computation. We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.

    \n", + "
    • \r\n", + "

  • Extraction circuits for planar quantum ISA. We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).

    \n", + "
    • \r\n", + "

  • Uniform independent logical noise. We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.

    \n", + "
    • \r\n", + "

  • Negligible Clifford costs for synthesis. We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.

    \n", + "
    • \r\n", + "

  • Smooth magic state consumption rate. We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.

    \n", + "
    • \r\n", + "
\r\n" + ], + "text/plain": [ + "{'errorBudget': {'logical': 0.0005, 'rotations': 0.0, 'tstates': 0.0005},\n", + " 'jobParams': {'errorBudget': 0.001,\n", + " 'qecScheme': {'crossingPrefactor': 0.03,\n", + " 'errorCorrectionThreshold': 0.01,\n", + " 'logicalCycleTime': '(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance',\n", + " 'name': 'surface_code',\n", + " 'physicalQubitsPerLogicalQubit': '2 * codeDistance * codeDistance'},\n", + " 'qubitParams': {'instructionSet': 'GateBased',\n", + " 'name': 'qubit_gate_ns_e3',\n", + " 'oneQubitGateErrorRate': 0.001,\n", + " 'oneQubitGateTime': '50 ns',\n", + " 'oneQubitMeasurementErrorRate': 0.001,\n", + " 'oneQubitMeasurementTime': '100 ns',\n", + " 'tGateErrorRate': 0.001,\n", + " 'tGateTime': '50 ns',\n", + " 'twoQubitGateErrorRate': 0.001,\n", + " 'twoQubitGateTime': '50 ns'}},\n", + " 'logicalCounts': {'ccixCount': 0,\n", + " 'cczCount': 1,\n", + " 'measurementCount': 0,\n", + " 'numQubits': 4,\n", + " 'rotationCount': 0,\n", + " 'rotationDepth': 0,\n", + " 'tCount': 0},\n", + " 'logicalQubit': {'codeDistance': 9,\n", + " 'logicalCycleTime': 3600.0,\n", + " 'logicalErrorRate': 3.0000000000000015e-07,\n", + " 'physicalQubits': 162},\n", + " 'physicalCounts': {'breakdown': {'algorithmicLogicalDepth': 3,\n", + " 'algorithmicLogicalQubits': 15,\n", + " 'cliffordErrorRate': 0.001,\n", + " 'logicalDepth': 13,\n", + " 'numTfactories': 4,\n", + " 'numTfactoryRuns': 1,\n", + " 'numTsPerRotation': None,\n", + " 'numTstates': 4,\n", + " 'physicalQubitsForAlgorithm': 2430,\n", + " 'physicalQubitsForTfactories': 15680,\n", + " 'requiredLogicalQubitErrorRate': 2.564102564102564e-06,\n", + " 'requiredLogicalTstateErrorRate': 0.000125},\n", + " 'physicalQubits': 18110,\n", + " 'runtime': 46800},\n", + " 'physicalCountsFormatted': {'codeDistancePerRound': '7',\n", + " 'errorBudget': '1.00e-3',\n", + " 'errorBudgetLogical': '5.00e-4',\n", + " 'errorBudgetRotations': '0.00e0',\n", + " 'errorBudgetTstates': '5.00e-4',\n", + " 'logicalCycleTime': '3us 600ns',\n", + " 'logicalErrorRate': '3.00e-7',\n", + " 'numTsPerRotation': 'No rotations in algorithm',\n", + " 'numUnitsPerRound': '2',\n", + " 'physicalQubitsForTfactoriesPercentage': '86.58 %',\n", + " 'physicalQubitsPerRound': '3920',\n", + " 'requiredLogicalQubitErrorRate': '2.56e-6',\n", + " 'requiredLogicalTstateErrorRate': '1.25e-4',\n", + " 'runtime': '46us 800ns',\n", + " 'tfactoryRuntime': '36us 400ns',\n", + " 'tfactoryRuntimePerRound': '36us 400ns',\n", + " 'tstateLogicalErrorRate': '2.13e-5',\n", + " 'unitNamePerRound': '15-to-1 space efficient logical'},\n", + " 'reportData': {'assumptions': ['_More details on the following lists of assumptions can be found in the paper [Accessing requirements for scaling quantum computers and their applications](https://aka.ms/AQ/RE/Paper)._',\n", + " '**Uniform independent physical noise.** We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.',\n", + " '**Efficient classical computation.** We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.',\n", + " '**Extraction circuits for planar quantum ISA.** We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).',\n", + " '**Uniform independent logical noise.** We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.',\n", + " '**Negligible Clifford costs for synthesis.** We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.',\n", + " '**Smooth magic state consumption rate.** We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.'],\n", + " 'groups': [{'alwaysVisible': True,\n", + " 'entries': [{'description': 'Number of physical qubits',\n", + " 'explanation': 'This value represents the total number of physical qubits, which is the sum of 2430 physical qubits to implement the algorithm logic, and 15680 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.',\n", + " 'label': 'Physical qubits',\n", + " 'path': 'physicalCounts/physicalQubits'},\n", + " {'description': 'Total runtime',\n", + " 'explanation': 'This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (3us 600ns) multiplied by the 3 logical cycles to run the algorithm. If however the duration of a single T factory (here: 36us 400ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.',\n", + " 'label': 'Runtime',\n", + " 'path': 'physicalCountsFormatted/runtime'}],\n", + " 'title': 'Physical resource estimates'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Number of logical qubits for the algorithm after layout',\n", + " 'explanation': 'Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the $Q_{\\\\rm alg} = 4$ logical qubits in the input algorithm, we require in total $2 \\\\cdot Q_{\\\\rm alg} + \\\\lceil \\\\sqrt{8 \\\\cdot Q_{\\\\rm alg}}\\\\rceil + 1 = 15$ logical qubits.',\n", + " 'label': 'Logical algorithmic qubits',\n", + " 'path': 'physicalCounts/breakdown/algorithmicLogicalQubits'},\n", + " {'description': 'Number of logical cycles for the algorithm',\n", + " 'explanation': 'To execute the algorithm using _Parallel Synthesis Sequential Pauli Computation_ (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 0 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 1 CCZ and 0 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.',\n", + " 'label': 'Algorithmic depth',\n", + " 'path': 'physicalCounts/breakdown/algorithmicLogicalDepth'},\n", + " {'description': 'Number of logical cycles performed',\n", + " 'explanation': \"This number is usually equal to the logical depth of the algorithm, which is 3. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.\",\n", + " 'label': 'Logical depth',\n", + " 'path': 'physicalCounts/breakdown/logicalDepth'},\n", + " {'description': 'Number of T states consumed by the algorithm',\n", + " 'explanation': 'To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 1 CCZ and 0 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.',\n", + " 'label': 'Number of T states',\n", + " 'path': 'physicalCounts/breakdown/numTstates'},\n", + " {'description': \"Number of T factories capable of producing the demanded 4 T states during the algorithm's runtime\",\n", + " 'explanation': 'The total number of T factories 4 that are executed in parallel is computed as $\\\\left\\\\lceil\\\\dfrac{4\\\\;\\\\text{T states} \\\\cdot 36us 400ns\\\\;\\\\text{T factory duration}}{1\\\\;\\\\text{T states per T factory} \\\\cdot 46us 800ns\\\\;\\\\text{algorithm runtime}}\\\\right\\\\rceil$',\n", + " 'label': 'Number of T factories',\n", + " 'path': 'physicalCounts/breakdown/numTfactories'},\n", + " {'description': 'Number of times all T factories are invoked',\n", + " 'explanation': 'In order to prepare the 4 T states, the 4 copies of the T factory are repeatedly invoked 1 times.',\n", + " 'label': 'Number of T factory invocations',\n", + " 'path': 'physicalCounts/breakdown/numTfactoryRuns'},\n", + " {'description': 'Number of physical qubits for the algorithm after layout',\n", + " 'explanation': 'The 2430 are the product of the 15 logical qubits after layout and the 162 physical qubits that encode a single logical qubit.',\n", + " 'label': 'Physical algorithmic qubits',\n", + " 'path': 'physicalCounts/breakdown/physicalQubitsForAlgorithm'},\n", + " {'description': 'Number of physical qubits for the T factories',\n", + " 'explanation': 'Each T factory requires 3920 physical qubits and we run 4 in parallel, therefore we need $15680 = 3920 \\\\cdot 4$ qubits.',\n", + " 'label': 'Physical T factory qubits',\n", + " 'path': 'physicalCounts/breakdown/physicalQubitsForTfactories'},\n", + " {'description': 'The minimum logical qubit error rate required to run the algorithm within the error budget',\n", + " 'explanation': 'The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 15 logical qubits and the total cycle count 13.',\n", + " 'label': 'Required logical qubit error rate',\n", + " 'path': 'physicalCountsFormatted/requiredLogicalQubitErrorRate'},\n", + " {'description': 'The minimum T state error rate required for distilled T states',\n", + " 'explanation': 'The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 4.',\n", + " 'label': 'Required logical T state error rate',\n", + " 'path': 'physicalCountsFormatted/requiredLogicalTstateErrorRate'},\n", + " {'description': 'Number of T states to implement a rotation with an arbitrary angle',\n", + " 'explanation': 'The number of T states to implement a rotation with an arbitrary angle is $\\\\lceil 0.53 \\\\log_2(0 / 0) + 5.3\\\\rceil$ [[arXiv:2203.10064](https://arxiv.org/abs/2203.10064)]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.',\n", + " 'label': 'Number of T states per rotation',\n", + " 'path': 'physicalCountsFormatted/numTsPerRotation'}],\n", + " 'title': 'Resource estimates breakdown'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Name of QEC scheme',\n", + " 'explanation': 'You can load pre-defined QEC schemes by using the name `surface_code` or `floquet_code`. The latter only works with Majorana qubits.',\n", + " 'label': 'QEC scheme',\n", + " 'path': 'jobParams/qecScheme/name'},\n", + " {'description': 'Required code distance for error correction',\n", + " 'explanation': 'The code distance is the smallest odd integer greater or equal to $\\\\dfrac{2\\\\log(0.03 / 0.000002564102564102564)}{\\\\log(0.01/0.001)} - 1$',\n", + " 'label': 'Code distance',\n", + " 'path': 'logicalQubit/codeDistance'},\n", + " {'description': 'Number of physical qubits per logical qubit',\n", + " 'explanation': 'The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.',\n", + " 'label': 'Physical qubits',\n", + " 'path': 'logicalQubit/physicalQubits'},\n", + " {'description': 'Duration of a logical cycle in nanoseconds',\n", + " 'explanation': 'The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.',\n", + " 'label': 'Logical cycle time',\n", + " 'path': 'physicalCountsFormatted/logicalCycleTime'},\n", + " {'description': 'Logical qubit error rate',\n", + " 'explanation': 'The logical qubit error rate is computed as $0.03 \\\\cdot \\\\left(\\\\dfrac{0.001}{0.01}\\\\right)^\\\\frac{9 + 1}{2}$',\n", + " 'label': 'Logical qubit error rate',\n", + " 'path': 'physicalCountsFormatted/logicalErrorRate'},\n", + " {'description': 'Crossing prefactor used in QEC scheme',\n", + " 'explanation': 'The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.',\n", + " 'label': 'Crossing prefactor',\n", + " 'path': 'jobParams/qecScheme/crossingPrefactor'},\n", + " {'description': 'Error correction threshold used in QEC scheme',\n", + " 'explanation': 'The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.',\n", + " 'label': 'Error correction threshold',\n", + " 'path': 'jobParams/qecScheme/errorCorrectionThreshold'},\n", + " {'description': 'QEC scheme formula used to compute logical cycle time',\n", + " 'explanation': 'This is the formula that is used to compute the logical cycle time 3us 600ns.',\n", + " 'label': 'Logical cycle time formula',\n", + " 'path': 'jobParams/qecScheme/logicalCycleTime'},\n", + " {'description': 'QEC scheme formula used to compute number of physical qubits per logical qubit',\n", + " 'explanation': 'This is the formula that is used to compute the number of physical qubits per logical qubits 162.',\n", + " 'label': 'Physical qubits formula',\n", + " 'path': 'jobParams/qecScheme/physicalQubitsPerLogicalQubit'}],\n", + " 'title': 'Logical qubit parameters'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Number of physical qubits for a single T factory',\n", + " 'explanation': 'This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.',\n", + " 'label': 'Physical qubits',\n", + " 'path': 'tfactory/physicalQubits'},\n", + " {'description': 'Runtime of a single T factory',\n", + " 'explanation': 'The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.',\n", + " 'label': 'Runtime',\n", + " 'path': 'physicalCountsFormatted/tfactoryRuntime'},\n", + " {'description': 'Number of output T states produced in a single run of T factory',\n", + " 'explanation': 'The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.13e-5.',\n", + " 'label': 'Number of output T states per run',\n", + " 'path': 'tfactory/numTstates'},\n", + " {'description': 'Number of physical input T states consumed in a single run of a T factory',\n", + " 'explanation': 'This value includes the physical input T states of all copies of the distillation unit in the first round.',\n", + " 'label': 'Number of input T states per run',\n", + " 'path': 'tfactory/numInputTstates'},\n", + " {'description': 'The number of distillation rounds',\n", + " 'explanation': 'This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.',\n", + " 'label': 'Distillation rounds',\n", + " 'path': 'tfactory/numRounds'},\n", + " {'description': 'The number of units in each round of distillation',\n", + " 'explanation': 'This is the number of copies for the distillation units per round.',\n", + " 'label': 'Distillation units per round',\n", + " 'path': 'physicalCountsFormatted/numUnitsPerRound'},\n", + " {'description': 'The types of distillation units',\n", + " 'explanation': 'These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.',\n", + " 'label': 'Distillation units',\n", + " 'path': 'physicalCountsFormatted/unitNamePerRound'},\n", + " {'description': 'The code distance in each round of distillation',\n", + " 'explanation': 'This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.',\n", + " 'label': 'Distillation code distances',\n", + " 'path': 'physicalCountsFormatted/codeDistancePerRound'},\n", + " {'description': 'The number of physical qubits used in each round of distillation',\n", + " 'explanation': 'The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.',\n", + " 'label': 'Number of physical qubits per round',\n", + " 'path': 'physicalCountsFormatted/physicalQubitsPerRound'},\n", + " {'description': 'The runtime of each distillation round',\n", + " 'explanation': 'The runtime of the T factory is the sum of the runtimes in all rounds.',\n", + " 'label': 'Runtime per round',\n", + " 'path': 'physicalCountsFormatted/tfactoryRuntimePerRound'},\n", + " {'description': 'Logical T state error rate',\n", + " 'explanation': 'This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 1.25e-4.',\n", + " 'label': 'Logical T state error rate',\n", + " 'path': 'physicalCountsFormatted/tstateLogicalErrorRate'}],\n", + " 'title': 'T factory parameters'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Number of logical qubits in the input quantum program',\n", + " 'explanation': 'We determine 15 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.',\n", + " 'label': 'Logical qubits (pre-layout)',\n", + " 'path': 'logicalCounts/numQubits'},\n", + " {'description': 'Number of T gates in the input quantum program',\n", + " 'explanation': 'This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.',\n", + " 'label': 'T gates',\n", + " 'path': 'logicalCounts/tCount'},\n", + " {'description': 'Number of rotation gates in the input quantum program',\n", + " 'explanation': 'This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.',\n", + " 'label': 'Rotation gates',\n", + " 'path': 'logicalCounts/rotationCount'},\n", + " {'description': 'Depth of rotation gates in the input quantum program',\n", + " 'explanation': 'This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.',\n", + " 'label': 'Rotation depth',\n", + " 'path': 'logicalCounts/rotationDepth'},\n", + " {'description': 'Number of CCZ-gates in the input quantum program',\n", + " 'explanation': 'This is the number of CCZ gates.',\n", + " 'label': 'CCZ gates',\n", + " 'path': 'logicalCounts/cczCount'},\n", + " {'description': 'Number of CCiX-gates in the input quantum program',\n", + " 'explanation': 'This is the number of CCiX gates, which applies $-iX$ controlled on two control qubits [[1212.5069](https://arxiv.org/abs/1212.5069)].',\n", + " 'label': 'CCiX gates',\n", + " 'path': 'logicalCounts/ccixCount'},\n", + " {'description': 'Number of single qubit measurements in the input quantum program',\n", + " 'explanation': 'This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.',\n", + " 'label': 'Measurement operations',\n", + " 'path': 'logicalCounts/measurementCount'}],\n", + " 'title': 'Pre-layout logical resources'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Total error budget for the algorithm',\n", + " 'explanation': \"The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget $\\\\epsilon = \\\\epsilon_{\\\\log} + \\\\epsilon_{\\\\rm dis} + \\\\epsilon_{\\\\rm syn}$ is uniformly distributed and applies to errors $\\\\epsilon_{\\\\log}$ to implement logical qubits, an error budget $\\\\epsilon_{\\\\rm dis}$ to produce T states through distillation, and an error budget $\\\\epsilon_{\\\\rm syn}$ to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets $\\\\epsilon_{\\\\rm dis}$ and $\\\\epsilon_{\\\\rm syn}$ are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.\",\n", + " 'label': 'Total error budget',\n", + " 'path': 'physicalCountsFormatted/errorBudget'},\n", + " {'description': 'Probability of at least one logical error',\n", + " 'explanation': 'This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.',\n", + " 'label': 'Logical error probability',\n", + " 'path': 'physicalCountsFormatted/errorBudgetLogical'},\n", + " {'description': 'Probability of at least one faulty T distillation',\n", + " 'explanation': 'This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.',\n", + " 'label': 'T distillation error probability',\n", + " 'path': 'physicalCountsFormatted/errorBudgetTstates'},\n", + " {'description': 'Probability of at least one failed rotation synthesis',\n", + " 'explanation': 'This is one third of the total error budget 1.00e-3.',\n", + " 'label': 'Rotation synthesis error probability',\n", + " 'path': 'physicalCountsFormatted/errorBudgetRotations'}],\n", + " 'title': 'Assumed error budget'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Some descriptive name for the qubit model',\n", + " 'explanation': 'You can load pre-defined qubit parameters by using the names `qubit_gate_ns_e3`, `qubit_gate_ns_e4`, `qubit_gate_us_e3`, `qubit_gate_us_e4`, `qubit_maj_ns_e4`, or `qubit_maj_ns_e6`. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).',\n", + " 'label': 'Qubit name',\n", + " 'path': 'jobParams/qubitParams/name'},\n", + " {'description': 'Underlying qubit technology (gate-based or Majorana)',\n", + " 'explanation': 'When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either *gate-based* or *Majorana*. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.',\n", + " 'label': 'Instruction set',\n", + " 'path': 'jobParams/qubitParams/instructionSet'},\n", + " {'description': 'Operation time for single-qubit measurement (t_meas) in ns',\n", + " 'explanation': 'This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.',\n", + " 'label': 'Single-qubit measurement time',\n", + " 'path': 'jobParams/qubitParams/oneQubitMeasurementTime'},\n", + " {'description': 'Operation time for single-qubit gate (t_gate) in ns',\n", + " 'explanation': 'This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.',\n", + " 'label': 'Single-qubit gate time',\n", + " 'path': 'jobParams/qubitParams/oneQubitGateTime'},\n", + " {'description': 'Operation time for two-qubit gate in ns',\n", + " 'explanation': 'This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.',\n", + " 'label': 'Two-qubit gate time',\n", + " 'path': 'jobParams/qubitParams/twoQubitGateTime'},\n", + " {'description': 'Operation time for a T gate',\n", + " 'explanation': 'This is the operation time in nanoseconds to execute a T gate.',\n", + " 'label': 'T gate time',\n", + " 'path': 'jobParams/qubitParams/tGateTime'},\n", + " {'description': 'Error rate for single-qubit measurement',\n", + " 'explanation': 'This is the probability in which a single-qubit measurement in the Pauli basis may fail.',\n", + " 'label': 'Single-qubit measurement error rate',\n", + " 'path': 'jobParams/qubitParams/oneQubitMeasurementErrorRate'},\n", + " {'description': 'Error rate for single-qubit Clifford gate (p)',\n", + " 'explanation': 'This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.',\n", + " 'label': 'Single-qubit error rate',\n", + " 'path': 'jobParams/qubitParams/oneQubitGateErrorRate'},\n", + " {'description': 'Error rate for two-qubit Clifford gate',\n", + " 'explanation': 'This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.',\n", + " 'label': 'Two-qubit error rate',\n", + " 'path': 'jobParams/qubitParams/twoQubitGateErrorRate'},\n", + " {'description': 'Error rate to prepare single-qubit T state or apply a T gate (p_T)',\n", + " 'explanation': 'This is the probability in which executing a single T gate may fail.',\n", + " 'label': 'T gate error rate',\n", + " 'path': 'jobParams/qubitParams/tGateErrorRate'}],\n", + " 'title': 'Physical qubit parameters'}]},\n", + " 'status': 'success',\n", + " 'tfactory': {'codeDistancePerRound': [7],\n", + " 'logicalErrorRate': 2.133500000000001e-05,\n", + " 'numInputTstates': 30,\n", + " 'numRounds': 1,\n", + " 'numTstates': 1,\n", + " 'numUnitsPerRound': [2],\n", + " 'physicalQubits': 3920,\n", + " 'physicalQubitsPerRound': [3920],\n", + " 'runtime': 36400.0,\n", + " 'runtimePerRound': [36400.0],\n", + " 'unitNamePerRound': ['15-to-1 space efficient logical']}}" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# If you need to pull up the results of an old job, use its job ID with qsharp.azure.output command\n", "# result = qsharp.azure.output(\"...\")\n", @@ -360,7 +1978,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 64, "metadata": { "jupyter": { "outputs_hidden": false, @@ -386,7 +2004,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 65, "metadata": { "jupyter": { "outputs_hidden": false, @@ -398,10 +2016,37 @@ } } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Logical algorithmic qubits = 15\n", + "Algorithmic depth = 3\n", + "Score = 45\n" + ] + }, + { + "data": { + "text/plain": [ + "45" + ] + }, + "execution_count": 65, + "metadata": {}, + 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z9KcIg?3fuHfP+KPfs3n~>PHVbz$|2gP8=Mpz>fx|Vf;`A_72#wav%}c4%x^~#2aM} zY#7Qzd;c_iWypp1hU~a$zXb<|%B5X)B^V3)?RfTzhaN397>g_WkI7M713_}$9Rp8v zPWKP_T>l?LOl^|?x^%|b75aAsEB^djEIzdemoAuUvC{u4heG E4c=rf@c;k- From 6df80b8273098c88a07f408a3fd63287d008d153 Mon Sep 17 00:00:00 2001 From: Michael Papadopoulos Date: Sat, 28 Jan 2023 14:01:48 -0500 Subject: [PATCH 03/13] Clear output --- ...Hack-challenge-2023-task1-checkpoint.ipynb | 1681 +---------------- iQuHack-challenge-2023-task1.ipynb | 1681 +---------------- 2 files changed, 40 insertions(+), 3322 deletions(-) diff --git a/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb b/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb index 9c06fd1..7607d81 100644 --- a/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb +++ b/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb @@ -34,7 +34,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -46,47 +46,7 @@ } } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[\n", - " {\n", - " \"cloudName\": \"AzureCloud\",\n", - " \"homeTenantId\": \"aaf653e1-0bcd-4c2c-8658-12eb03e15774\",\n", - " \"id\": \"6d61051a-6e40-4845-a03a-3c5160bb5629\",\n", - " \"isDefault\": true,\n", - " \"managedByTenants\": [\n", - " {\n", - " \"tenantId\": \"d0ecd01b-d782-448e-bae0-c3cad0e0543a\"\n", - " },\n", - " {\n", - " \"tenantId\": \"94c4857e-1130-4ab8-8eac-069b40c9db20\"\n", - " },\n", - " {\n", - " \"tenantId\": \"f702a9dc-ae48-4dc7-8f0a-8155a6dfa4e5\"\n", - " }\n", - " ],\n", - " \"name\": \"Azure for Students\",\n", - " \"state\": \"Enabled\",\n", - " \"tenantId\": \"aaf653e1-0bcd-4c2c-8658-12eb03e15774\",\n", - " \"user\": {\n", - " \"name\": \"papadm2@rpi.edu\",\n", - " \"type\": \"user\"\n", - " }\n", - " }\n", - "]\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "WARNING: A web browser has been opened at https://login.microsoftonline.com/organizations/oauth2/v2.0/authorize. Please continue the login in the web browser. If no web browser is available or if the web browser fails to open, use device code flow with `az login --use-device-code`.\n" - ] - } - ], + "outputs": [], "source": [ "!az login" ] @@ -106,7 +66,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -127,7 +87,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -148,7 +108,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -184,7 +144,7 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -220,7 +180,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -276,7 +236,7 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -288,462 +248,7 @@ } } }, - "outputs": [ - { - "data": { - "application/x-qsharp-data": "{\"diagnostic_kind\":\"state-vector\",\"qubit_ids\":[0,1,2,3],\"n_qubits\":4,\"amplitudes\":{\"0\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"1\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"2\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"3\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"4\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"5\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"6\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"7\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"8\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"9\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"10\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"11\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"12\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"13\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"14\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"15\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0}}}", - "text/html": [ - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "
Qubit IDs0, 1, 2, 3
Basis state (bitstring)AmplitudeMeas. Pr.
$\\left|0000\\right\\rangle$$0.3536 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

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$\\left|0001\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

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$\\left|0010\\right\\rangle$$0.3536 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

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$\\left|0011\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

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$\\left|0100\\right\\rangle$$0.3536 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

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$\\left|0101\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

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$\\left|0110\\right\\rangle$$0.3536 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

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$\\left|0111\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

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$\\left|1000\\right\\rangle$$0.3536 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

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$\\left|1001\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

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$\\left|1010\\right\\rangle$$0.3536 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

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$\\left|1011\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

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$\\left|1100\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

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$\\left|1101\\right\\rangle$$0.3536 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

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$\\left|1110\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

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$\\left|1111\\right\\rangle$$0.3536 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

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" - ], - "text/plain": [ - "|0000⟩\t0.35355339059327384 + 0𝑖\n", - "|0001⟩\t0 + 0𝑖\n", - "|0010⟩\t0.35355339059327384 + 0𝑖\n", - "|0011⟩\t0 + 0𝑖\n", - "|0100⟩\t0.35355339059327384 + 0𝑖\n", - "|0101⟩\t0 + 0𝑖\n", - "|0110⟩\t0.35355339059327384 + 0𝑖\n", - "|0111⟩\t0 + 0𝑖\n", - "|1000⟩\t0.35355339059327384 + 0𝑖\n", - "|1001⟩\t0 + 0𝑖\n", - "|1010⟩\t0.35355339059327384 + 0𝑖\n", - "|1011⟩\t0 + 0𝑖\n", - "|1100⟩\t0 + 0𝑖\n", - "|1101⟩\t0.35355339059327384 + 0𝑖\n", - "|1110⟩\t0 + 0𝑖\n", - "|1111⟩\t0.35355339059327384 + 0𝑖" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/plain": [ - "()" - ] - }, - "execution_count": 59, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# Note that in the output of this cell the target qubit corresponds to the rightmost bit\n", "qsharp.config[\"dump.basisStateLabelingConvention\"]=\"Bitstring\"\n", @@ -768,7 +273,7 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -780,56 +285,7 @@ } } }, - "outputs": [ - { - "data": { - "application/x-qsharp-data": "\"Connecting to Azure Quantum...\"", - "text/plain": [ - "Connecting to Azure Quantum..." - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Connected to Azure Quantum workspace iQuHack-Workspace-micpap25 in location eastus.\r\n" - ] - }, - { - "data": { - "text/plain": [ - "[{'id': 'ionq.qpu', 'current_availability': {}, 'average_queue_time': 265936},\n", - " {'id': 'ionq.qpu.aria-1', 'current_availability': {}, 'average_queue_time': 338807},\n", - " {'id': 'ionq.simulator', 'current_availability': {}, 'average_queue_time': 3},\n", - " {'id': 'microsoft.estimator', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.hqs-lt-s1', 'current_availability': {}, 'average_queue_time': 257411},\n", - " {'id': 'quantinuum.hqs-lt-s1-apival', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.hqs-lt-s2', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.hqs-lt-s2-apival', 'current_availability': {}, 'average_queue_time': 1},\n", - " {'id': 'quantinuum.hqs-lt-s1-sim', 'current_availability': {}, 'average_queue_time': 4312},\n", - " {'id': 'quantinuum.hqs-lt-s2-sim', 'current_availability': {}, 'average_queue_time': 140},\n", - " {'id': 'quantinuum.hqs-lt', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.qpu.h1-1', 'current_availability': {}, 'average_queue_time': 257411},\n", - " {'id': 'quantinuum.sim.h1-1sc', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.qpu.h1-2', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.sim.h1-2sc', 'current_availability': {}, 'average_queue_time': 1},\n", - " {'id': 'quantinuum.sim.h1-1e', 'current_availability': {}, 'average_queue_time': 4312},\n", - " {'id': 'quantinuum.sim.h1-2e', 'current_availability': {}, 'average_queue_time': 140},\n", - " {'id': 'quantinuum.qpu.h1', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'rigetti.sim.qvm', 'current_availability': {}, 'average_queue_time': 5},\n", - " {'id': 'rigetti.qpu.aspen-11', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'rigetti.qpu.aspen-m-2', 'current_availability': {}, 'average_queue_time': 5},\n", - " {'id': 'rigetti.qpu.aspen-m-3', 'current_availability': {}, 'average_queue_time': 5}]" - ] - }, - "execution_count": 60, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# If you're using this notebook in Azure Quantum hosted notebooks, remove the credential=\"CLI\" parameter!\n", "# If you're using this notebook in qBraid, keep it\n", @@ -841,7 +297,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -853,33 +309,14 @@ } } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Loading package Microsoft.Quantum.Providers.Core and dependencies...\r\n", - "Active target is now microsoft.estimator\r\n" - ] - }, - { - "data": { - "text/plain": [ - "{'id': 'microsoft.estimator', 'current_availability': {}, 'average_queue_time': 0}" - ] - }, - "execution_count": 61, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "qsharp.azure.target(\"microsoft.estimator\")" ] }, { "cell_type": "code", - "execution_count": 62, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -891,21 +328,7 @@ } } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Submitting Task1_ResourceEstimationWrapper to target microsoft.estimator...\n", - "Job successfully submitted.\n", - " Job name: RE for the task 1\n", - " Job ID: 804f1a1a-674a-4880-a21c-cc7008a5b18f\n", - "Waiting up to 30 seconds for Azure Quantum job to complete...\n", - "[1:52:36 PM] Current job status: Executing\n", - "[1:52:41 PM] Current job status: Succeeded\n" - ] - } - ], + "outputs": [], "source": [ "# Update job name to a more descriptive string to make it easier to find it in Job Management tab later\n", "result = qsharp.azure.execute(Task1_ResourceEstimationWrapper, jobName=\"RE for the task 1\")" @@ -913,7 +336,7 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -925,1051 +348,7 @@ } } }, - "outputs": [ - { - "data": { - "application/x-qsharp-data": "{\"errorBudget\":{\"logical\":0.0005,\"rotations\":0.0,\"tstates\":0.0005},\"jobParams\":{\"errorBudget\":0.001,\"qecScheme\":{\"crossingPrefactor\":0.03,\"errorCorrectionThreshold\":0.01,\"logicalCycleTime\":\"(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance\",\"name\":\"surface_code\",\"physicalQubitsPerLogicalQubit\":\"2 * codeDistance * codeDistance\"},\"qubitParams\":{\"instructionSet\":\"GateBased\",\"name\":\"qubit_gate_ns_e3\",\"oneQubitGateErrorRate\":0.001,\"oneQubitGateTime\":\"50 ns\",\"oneQubitMeasurementErrorRate\":0.001,\"oneQubitMeasurementTime\":\"100 ns\",\"tGateErrorRate\":0.001,\"tGateTime\":\"50 ns\",\"twoQubitGateErrorRate\":0.001,\"twoQubitGateTime\":\"50 ns\"}},\"logicalCounts\":{\"ccixCount\":0,\"cczCount\":1,\"measurementCount\":0,\"numQubits\":4,\"rotationCount\":0,\"rotationDepth\":0,\"tCount\":0},\"logicalQubit\":{\"codeDistance\":9,\"logicalCycleTime\":3600.0,\"logicalErrorRate\":3.0000000000000015E-07,\"physicalQubits\":162},\"physicalCounts\":{\"breakdown\":{\"algorithmicLogicalDepth\":3,\"algorithmicLogicalQubits\":15,\"cliffordErrorRate\":0.001,\"logicalDepth\":13,\"numTfactories\":4,\"numTfactoryRuns\":1,\"numTsPerRotation\":null,\"numTstates\":4,\"physicalQubitsForAlgorithm\":2430,\"physicalQubitsForTfactories\":15680,\"requiredLogicalQubitErrorRate\":2.564102564102564E-06,\"requiredLogicalTstateErrorRate\":0.000125},\"physicalQubits\":18110,\"runtime\":46800},\"physicalCountsFormatted\":{\"codeDistancePerRound\":\"7\",\"errorBudget\":\"1.00e-3\",\"errorBudgetLogical\":\"5.00e-4\",\"errorBudgetRotations\":\"0.00e0\",\"errorBudgetTstates\":\"5.00e-4\",\"logicalCycleTime\":\"3us 600ns\",\"logicalErrorRate\":\"3.00e-7\",\"numTsPerRotation\":\"No rotations in algorithm\",\"numUnitsPerRound\":\"2\",\"physicalQubitsForTfactoriesPercentage\":\"86.58 %\",\"physicalQubitsPerRound\":\"3920\",\"requiredLogicalQubitErrorRate\":\"2.56e-6\",\"requiredLogicalTstateErrorRate\":\"1.25e-4\",\"runtime\":\"46us 800ns\",\"tfactoryRuntime\":\"36us 400ns\",\"tfactoryRuntimePerRound\":\"36us 400ns\",\"tstateLogicalErrorRate\":\"2.13e-5\",\"unitNamePerRound\":\"15-to-1 space efficient logical\"},\"reportData\":{\"assumptions\":[\"_More details on the following lists of assumptions can be found in the paper [Accessing requirements for scaling quantum computers and their applications](https://aka.ms/AQ/RE/Paper)._\",\"**Uniform independent physical noise.** We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.\",\"**Efficient classical computation.** We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.\",\"**Extraction circuits for planar quantum ISA.** We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).\",\"**Uniform independent logical noise.** We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.\",\"**Negligible Clifford costs for synthesis.** We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.\",\"**Smooth magic state consumption rate.** We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.\"],\"groups\":[{\"alwaysVisible\":true,\"entries\":[{\"description\":\"Number of physical qubits\",\"explanation\":\"This value represents the total number of physical qubits, which is the sum of 2430 physical qubits to implement the algorithm logic, and 15680 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.\",\"label\":\"Physical qubits\",\"path\":\"physicalCounts/physicalQubits\"},{\"description\":\"Total runtime\",\"explanation\":\"This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (3us 600ns) multiplied by the 3 logical cycles to run the algorithm. If however the duration of a single T factory (here: 36us 400ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.\",\"label\":\"Runtime\",\"path\":\"physicalCountsFormatted/runtime\"}],\"title\":\"Physical resource estimates\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of logical qubits for the algorithm after layout\",\"explanation\":\"Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the $Q_{\\\\rm alg} = 4$ logical qubits in the input algorithm, we require in total $2 \\\\cdot Q_{\\\\rm alg} + \\\\lceil \\\\sqrt{8 \\\\cdot Q_{\\\\rm alg}}\\\\rceil + 1 = 15$ logical qubits.\",\"label\":\"Logical algorithmic qubits\",\"path\":\"physicalCounts/breakdown/algorithmicLogicalQubits\"},{\"description\":\"Number of logical cycles for the algorithm\",\"explanation\":\"To execute the algorithm using _Parallel Synthesis Sequential Pauli Computation_ (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 0 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 1 CCZ and 0 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.\",\"label\":\"Algorithmic depth\",\"path\":\"physicalCounts/breakdown/algorithmicLogicalDepth\"},{\"description\":\"Number of logical cycles performed\",\"explanation\":\"This number is usually equal to the logical depth of the algorithm, which is 3. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.\",\"label\":\"Logical depth\",\"path\":\"physicalCounts/breakdown/logicalDepth\"},{\"description\":\"Number of T states consumed by the algorithm\",\"explanation\":\"To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 1 CCZ and 0 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.\",\"label\":\"Number of T states\",\"path\":\"physicalCounts/breakdown/numTstates\"},{\"description\":\"Number of T factories capable of producing the demanded 4 T states during the algorithm's runtime\",\"explanation\":\"The total number of T factories 4 that are executed in parallel is computed as $\\\\left\\\\lceil\\\\dfrac{4\\\\;\\\\text{T states} \\\\cdot 36us 400ns\\\\;\\\\text{T factory duration}}{1\\\\;\\\\text{T states per T factory} \\\\cdot 46us 800ns\\\\;\\\\text{algorithm runtime}}\\\\right\\\\rceil$\",\"label\":\"Number of T factories\",\"path\":\"physicalCounts/breakdown/numTfactories\"},{\"description\":\"Number of times all T factories are invoked\",\"explanation\":\"In order to prepare the 4 T states, the 4 copies of the T factory are repeatedly invoked 1 times.\",\"label\":\"Number of T factory invocations\",\"path\":\"physicalCounts/breakdown/numTfactoryRuns\"},{\"description\":\"Number of physical qubits for the algorithm after layout\",\"explanation\":\"The 2430 are the product of the 15 logical qubits after layout and the 162 physical qubits that encode a single logical qubit.\",\"label\":\"Physical algorithmic qubits\",\"path\":\"physicalCounts/breakdown/physicalQubitsForAlgorithm\"},{\"description\":\"Number of physical qubits for the T factories\",\"explanation\":\"Each T factory requires 3920 physical qubits and we run 4 in parallel, therefore we need $15680 = 3920 \\\\cdot 4$ qubits.\",\"label\":\"Physical T factory qubits\",\"path\":\"physicalCounts/breakdown/physicalQubitsForTfactories\"},{\"description\":\"The minimum logical qubit error rate required to run the algorithm within the error budget\",\"explanation\":\"The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 15 logical qubits and the total cycle count 13.\",\"label\":\"Required logical qubit error rate\",\"path\":\"physicalCountsFormatted/requiredLogicalQubitErrorRate\"},{\"description\":\"The minimum T state error rate required for distilled T states\",\"explanation\":\"The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 4.\",\"label\":\"Required logical T state error rate\",\"path\":\"physicalCountsFormatted/requiredLogicalTstateErrorRate\"},{\"description\":\"Number of T states to implement a rotation with an arbitrary angle\",\"explanation\":\"The number of T states to implement a rotation with an arbitrary angle is $\\\\lceil 0.53 \\\\log_2(0 / 0) + 5.3\\\\rceil$ [[arXiv:2203.10064](https://arxiv.org/abs/2203.10064)]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.\",\"label\":\"Number of T states per rotation\",\"path\":\"physicalCountsFormatted/numTsPerRotation\"}],\"title\":\"Resource estimates breakdown\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Name of QEC scheme\",\"explanation\":\"You can load pre-defined QEC schemes by using the name `surface_code` or `floquet_code`. The latter only works with Majorana qubits.\",\"label\":\"QEC scheme\",\"path\":\"jobParams/qecScheme/name\"},{\"description\":\"Required code distance for error correction\",\"explanation\":\"The code distance is the smallest odd integer greater or equal to $\\\\dfrac{2\\\\log(0.03 / 0.000002564102564102564)}{\\\\log(0.01/0.001)} - 1$\",\"label\":\"Code distance\",\"path\":\"logicalQubit/codeDistance\"},{\"description\":\"Number of physical qubits per logical qubit\",\"explanation\":\"The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.\",\"label\":\"Physical qubits\",\"path\":\"logicalQubit/physicalQubits\"},{\"description\":\"Duration of a logical cycle in nanoseconds\",\"explanation\":\"The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.\",\"label\":\"Logical cycle time\",\"path\":\"physicalCountsFormatted/logicalCycleTime\"},{\"description\":\"Logical qubit error rate\",\"explanation\":\"The logical qubit error rate is computed as $0.03 \\\\cdot \\\\left(\\\\dfrac{0.001}{0.01}\\\\right)^\\\\frac{9 + 1}{2}$\",\"label\":\"Logical qubit error rate\",\"path\":\"physicalCountsFormatted/logicalErrorRate\"},{\"description\":\"Crossing prefactor used in QEC scheme\",\"explanation\":\"The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.\",\"label\":\"Crossing prefactor\",\"path\":\"jobParams/qecScheme/crossingPrefactor\"},{\"description\":\"Error correction threshold used in QEC scheme\",\"explanation\":\"The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.\",\"label\":\"Error correction threshold\",\"path\":\"jobParams/qecScheme/errorCorrectionThreshold\"},{\"description\":\"QEC scheme formula used to compute logical cycle time\",\"explanation\":\"This is the formula that is used to compute the logical cycle time 3us 600ns.\",\"label\":\"Logical cycle time formula\",\"path\":\"jobParams/qecScheme/logicalCycleTime\"},{\"description\":\"QEC scheme formula used to compute number of physical qubits per logical qubit\",\"explanation\":\"This is the formula that is used to compute the number of physical qubits per logical qubits 162.\",\"label\":\"Physical qubits formula\",\"path\":\"jobParams/qecScheme/physicalQubitsPerLogicalQubit\"}],\"title\":\"Logical qubit parameters\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of physical qubits for a single T factory\",\"explanation\":\"This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.\",\"label\":\"Physical qubits\",\"path\":\"tfactory/physicalQubits\"},{\"description\":\"Runtime of a single T factory\",\"explanation\":\"The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.\",\"label\":\"Runtime\",\"path\":\"physicalCountsFormatted/tfactoryRuntime\"},{\"description\":\"Number of output T states produced in a single run of T factory\",\"explanation\":\"The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.13e-5.\",\"label\":\"Number of output T states per run\",\"path\":\"tfactory/numTstates\"},{\"description\":\"Number of physical input T states consumed in a single run of a T factory\",\"explanation\":\"This value includes the physical input T states of all copies of the distillation unit in the first round.\",\"label\":\"Number of input T states per run\",\"path\":\"tfactory/numInputTstates\"},{\"description\":\"The number of distillation rounds\",\"explanation\":\"This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.\",\"label\":\"Distillation rounds\",\"path\":\"tfactory/numRounds\"},{\"description\":\"The number of units in each round of distillation\",\"explanation\":\"This is the number of copies for the distillation units per round.\",\"label\":\"Distillation units per round\",\"path\":\"physicalCountsFormatted/numUnitsPerRound\"},{\"description\":\"The types of distillation units\",\"explanation\":\"These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.\",\"label\":\"Distillation units\",\"path\":\"physicalCountsFormatted/unitNamePerRound\"},{\"description\":\"The code distance in each round of distillation\",\"explanation\":\"This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.\",\"label\":\"Distillation code distances\",\"path\":\"physicalCountsFormatted/codeDistancePerRound\"},{\"description\":\"The number of physical qubits used in each round of distillation\",\"explanation\":\"The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.\",\"label\":\"Number of physical qubits per round\",\"path\":\"physicalCountsFormatted/physicalQubitsPerRound\"},{\"description\":\"The runtime of each distillation round\",\"explanation\":\"The runtime of the T factory is the sum of the runtimes in all rounds.\",\"label\":\"Runtime per round\",\"path\":\"physicalCountsFormatted/tfactoryRuntimePerRound\"},{\"description\":\"Logical T state error rate\",\"explanation\":\"This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 1.25e-4.\",\"label\":\"Logical T state error rate\",\"path\":\"physicalCountsFormatted/tstateLogicalErrorRate\"}],\"title\":\"T factory parameters\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of logical qubits in the input quantum program\",\"explanation\":\"We determine 15 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.\",\"label\":\"Logical qubits (pre-layout)\",\"path\":\"logicalCounts/numQubits\"},{\"description\":\"Number of T gates in the input quantum program\",\"explanation\":\"This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.\",\"label\":\"T gates\",\"path\":\"logicalCounts/tCount\"},{\"description\":\"Number of rotation gates in the input quantum program\",\"explanation\":\"This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.\",\"label\":\"Rotation gates\",\"path\":\"logicalCounts/rotationCount\"},{\"description\":\"Depth of rotation gates in the input quantum program\",\"explanation\":\"This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.\",\"label\":\"Rotation depth\",\"path\":\"logicalCounts/rotationDepth\"},{\"description\":\"Number of CCZ-gates in the input quantum program\",\"explanation\":\"This is the number of CCZ gates.\",\"label\":\"CCZ gates\",\"path\":\"logicalCounts/cczCount\"},{\"description\":\"Number of CCiX-gates in the input quantum program\",\"explanation\":\"This is the number of CCiX gates, which applies $-iX$ controlled on two control qubits [[1212.5069](https://arxiv.org/abs/1212.5069)].\",\"label\":\"CCiX gates\",\"path\":\"logicalCounts/ccixCount\"},{\"description\":\"Number of single qubit measurements in the input quantum program\",\"explanation\":\"This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.\",\"label\":\"Measurement operations\",\"path\":\"logicalCounts/measurementCount\"}],\"title\":\"Pre-layout logical resources\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Total error budget for the algorithm\",\"explanation\":\"The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget $\\\\epsilon = \\\\epsilon_{\\\\log} + \\\\epsilon_{\\\\rm dis} + \\\\epsilon_{\\\\rm syn}$ is uniformly distributed and applies to errors $\\\\epsilon_{\\\\log}$ to implement logical qubits, an error budget $\\\\epsilon_{\\\\rm dis}$ to produce T states through distillation, and an error budget $\\\\epsilon_{\\\\rm syn}$ to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets $\\\\epsilon_{\\\\rm dis}$ and $\\\\epsilon_{\\\\rm syn}$ are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.\",\"label\":\"Total error budget\",\"path\":\"physicalCountsFormatted/errorBudget\"},{\"description\":\"Probability of at least one logical error\",\"explanation\":\"This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.\",\"label\":\"Logical error probability\",\"path\":\"physicalCountsFormatted/errorBudgetLogical\"},{\"description\":\"Probability of at least one faulty T distillation\",\"explanation\":\"This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.\",\"label\":\"T distillation error probability\",\"path\":\"physicalCountsFormatted/errorBudgetTstates\"},{\"description\":\"Probability of at least one failed rotation synthesis\",\"explanation\":\"This is one third of the total error budget 1.00e-3.\",\"label\":\"Rotation synthesis error probability\",\"path\":\"physicalCountsFormatted/errorBudgetRotations\"}],\"title\":\"Assumed error budget\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Some descriptive name for the qubit model\",\"explanation\":\"You can load pre-defined qubit parameters by using the names `qubit_gate_ns_e3`, `qubit_gate_ns_e4`, `qubit_gate_us_e3`, `qubit_gate_us_e4`, `qubit_maj_ns_e4`, or `qubit_maj_ns_e6`. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or ¬µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).\",\"label\":\"Qubit name\",\"path\":\"jobParams/qubitParams/name\"},{\"description\":\"Underlying qubit technology (gate-based or Majorana)\",\"explanation\":\"When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either *gate-based* or *Majorana*. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.\",\"label\":\"Instruction set\",\"path\":\"jobParams/qubitParams/instructionSet\"},{\"description\":\"Operation time for single-qubit measurement (t_meas) in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.\",\"label\":\"Single-qubit measurement time\",\"path\":\"jobParams/qubitParams/oneQubitMeasurementTime\"},{\"description\":\"Operation time for single-qubit gate (t_gate) in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.\",\"label\":\"Single-qubit gate time\",\"path\":\"jobParams/qubitParams/oneQubitGateTime\"},{\"description\":\"Operation time for two-qubit gate in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.\",\"label\":\"Two-qubit gate time\",\"path\":\"jobParams/qubitParams/twoQubitGateTime\"},{\"description\":\"Operation time for a T gate\",\"explanation\":\"This is the operation time in nanoseconds to execute a T gate.\",\"label\":\"T gate time\",\"path\":\"jobParams/qubitParams/tGateTime\"},{\"description\":\"Error rate for single-qubit measurement\",\"explanation\":\"This is the probability in which a single-qubit measurement in the Pauli basis may fail.\",\"label\":\"Single-qubit measurement error rate\",\"path\":\"jobParams/qubitParams/oneQubitMeasurementErrorRate\"},{\"description\":\"Error rate for single-qubit Clifford gate (p)\",\"explanation\":\"This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.\",\"label\":\"Single-qubit error rate\",\"path\":\"jobParams/qubitParams/oneQubitGateErrorRate\"},{\"description\":\"Error rate for two-qubit Clifford gate\",\"explanation\":\"This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.\",\"label\":\"Two-qubit error rate\",\"path\":\"jobParams/qubitParams/twoQubitGateErrorRate\"},{\"description\":\"Error rate to prepare single-qubit T state or apply a T gate (p_T)\",\"explanation\":\"This is the probability in which executing a single T gate may fail.\",\"label\":\"T gate error rate\",\"path\":\"jobParams/qubitParams/tGateErrorRate\"}],\"title\":\"Physical qubit parameters\"}]},\"status\":\"success\",\"tfactory\":{\"codeDistancePerRound\":[7],\"logicalErrorRate\":2.133500000000001E-05,\"numInputTstates\":30,\"numRounds\":1,\"numTstates\":1,\"numUnitsPerRound\":[2],\"physicalQubits\":3920,\"physicalQubitsPerRound\":[3920],\"runtime\":36400.0,\"runtimePerRound\":[36400.0],\"unitNamePerRound\":[\"15-to-1 space efficient logical\"]}}", - "text/html": [ - "\r\n", - "
\r\n", - " \r\n", - " Physical resource estimates\r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "
Physical qubits18110\r\n", - "

Number of physical qubits

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This value represents the total number of physical qubits, which is the sum of 2430 physical qubits to implement the algorithm logic, and 15680 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.

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Runtime46us 800ns\r\n", - "

Total runtime

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This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (3us 600ns) multiplied by the 3 logical cycles to run the algorithm. If however the duration of a single T factory (here: 36us 400ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.

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Logical algorithmic qubits15\r\n", - "

Number of logical qubits for the algorithm after layout

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Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the \\(Q_{\\rm alg} = 4\\) logical qubits in the input algorithm, we require in total $2 \\cdot Q_{\\rm alg} + \\lceil \\sqrt{8 \\cdot Q_{\\rm alg}}\\rceil + 1 = 15$ logical qubits.

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Algorithmic depth3\r\n", - "

Number of logical cycles for the algorithm

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To execute the algorithm using Parallel Synthesis Sequential Pauli Computation (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 0 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 1 CCZ and 0 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.

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Logical depth13\r\n", - "

Number of logical cycles performed

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This number is usually equal to the logical depth of the algorithm, which is 3. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.

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Number of T states4\r\n", - "

Number of T states consumed by the algorithm

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To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 1 CCZ and 0 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.

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Number of T factories4\r\n", - "

Number of T factories capable of producing the demanded 4 T states during the algorithm's runtime

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The total number of T factories 4 that are executed in parallel is computed as \\(\\left\\lceil\\dfrac{4\\;\\text{T states} \\cdot 36us 400ns\\;\\text{T factory duration}}{1\\;\\text{T states per T factory} \\cdot 46us 800ns\\;\\text{algorithm runtime}}\\right\\rceil\\)

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Number of T factory invocations1\r\n", - "

Number of times all T factories are invoked

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In order to prepare the 4 T states, the 4 copies of the T factory are repeatedly invoked 1 times.

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Physical algorithmic qubits2430\r\n", - "

Number of physical qubits for the algorithm after layout

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The 2430 are the product of the 15 logical qubits after layout and the 162 physical qubits that encode a single logical qubit.

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Physical T factory qubits15680\r\n", - "

Number of physical qubits for the T factories

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Each T factory requires 3920 physical qubits and we run 4 in parallel, therefore we need $15680 = 3920 \\cdot 4$ qubits.

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Required logical qubit error rate2.56e-6\r\n", - "

The minimum logical qubit error rate required to run the algorithm within the error budget

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The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 15 logical qubits and the total cycle count 13.

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Required logical T state error rate1.25e-4\r\n", - "

The minimum T state error rate required for distilled T states

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The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 4.

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Number of T states per rotationNo rotations in algorithm\r\n", - "

Number of T states to implement a rotation with an arbitrary angle

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The number of T states to implement a rotation with an arbitrary angle is \\(\\lceil 0.53 \\log_2(0 / 0) + 5.3\\rceil\\) [arXiv:2203.10064]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.

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\r\n", - " \r\n", - " Logical qubit parameters\r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "
QEC schemesurface_code\r\n", - "

Name of QEC scheme

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You can load pre-defined QEC schemes by using the name surface_code or floquet_code. The latter only works with Majorana qubits.

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Code distance9\r\n", - "

Required code distance for error correction

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The code distance is the smallest odd integer greater or equal to \\(\\dfrac{2\\log(0.03 / 0.000002564102564102564)}{\\log(0.01/0.001)} - 1\\)

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Physical qubits162\r\n", - "

Number of physical qubits per logical qubit

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The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.

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Logical cycle time3us 600ns\r\n", - "

Duration of a logical cycle in nanoseconds

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The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.

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Logical qubit error rate3.00e-7\r\n", - "

Logical qubit error rate

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The logical qubit error rate is computed as $0.03 \\cdot \\left(\\dfrac{0.001}{0.01}\\right)^\\frac{9 + 1}{2}$

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Crossing prefactor0.03\r\n", - "

Crossing prefactor used in QEC scheme

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The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.

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Error correction threshold0.01\r\n", - "

Error correction threshold used in QEC scheme

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The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.

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Logical cycle time formula(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance\r\n", - "

QEC scheme formula used to compute logical cycle time

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This is the formula that is used to compute the logical cycle time 3us 600ns.

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Physical qubits formula2 * codeDistance * codeDistance\r\n", - "

QEC scheme formula used to compute number of physical qubits per logical qubit

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This is the formula that is used to compute the number of physical qubits per logical qubits 162.

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Physical qubits3920\r\n", - "

Number of physical qubits for a single T factory

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This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.

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Runtime36us 400ns\r\n", - "

Runtime of a single T factory

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The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.

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Number of output T states per run1\r\n", - "

Number of output T states produced in a single run of T factory

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The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.13e-5.

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Number of input T states per run30\r\n", - "

Number of physical input T states consumed in a single run of a T factory

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This value includes the physical input T states of all copies of the distillation unit in the first round.

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Distillation rounds1\r\n", - "

The number of distillation rounds

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This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.

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Distillation units per round2\r\n", - "

The number of units in each round of distillation

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This is the number of copies for the distillation units per round.

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Distillation units15-to-1 space efficient logical\r\n", - "

The types of distillation units

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These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.

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Distillation code distances7\r\n", - "

The code distance in each round of distillation

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This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.

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Number of physical qubits per round3920\r\n", - "

The number of physical qubits used in each round of distillation

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The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.

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Runtime per round36us 400ns\r\n", - "

The runtime of each distillation round

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The runtime of the T factory is the sum of the runtimes in all rounds.

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Logical T state error rate2.13e-5\r\n", - "

Logical T state error rate

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This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 1.25e-4.

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Logical qubits (pre-layout)4\r\n", - "

Number of logical qubits in the input quantum program

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We determine 15 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.

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T gates0\r\n", - "

Number of T gates in the input quantum program

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This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.

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Rotation gates0\r\n", - "

Number of rotation gates in the input quantum program

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This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.

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Rotation depth0\r\n", - "

Depth of rotation gates in the input quantum program

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This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.

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CCZ gates1\r\n", - "

Number of CCZ-gates in the input quantum program

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This is the number of CCZ gates.

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CCiX gates0\r\n", - "

Number of CCiX-gates in the input quantum program

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This is the number of CCiX gates, which applies \\(-iX\\) controlled on two control qubits [1212.5069].

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Measurement operations0\r\n", - "

Number of single qubit measurements in the input quantum program

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This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.

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Total error budget1.00e-3\r\n", - "

Total error budget for the algorithm

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The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget \\(\\epsilon = \\epsilon_{\\log} + \\epsilon_{\\rm dis} + \\epsilon_{\\rm syn}\\) is uniformly distributed and applies to errors \\(\\epsilon_{\\log}\\) to implement logical qubits, an error budget \\(\\epsilon_{\\rm dis}\\) to produce T states through distillation, and an error budget \\(\\epsilon_{\\rm syn}\\) to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets \\(\\epsilon_{\\rm dis}\\) and \\(\\epsilon_{\\rm syn}\\) are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.

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Logical error probability5.00e-4\r\n", - "

Probability of at least one logical error

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This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.

\n", - "\r\n", - "
T distillation error probability5.00e-4\r\n", - "

Probability of at least one faulty T distillation

\n", - "\r\n", - "
\r\n", - "

This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.

\n", - "\r\n", - "
Rotation synthesis error probability0.00e0\r\n", - "

Probability of at least one failed rotation synthesis

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This is one third of the total error budget 1.00e-3.

\n", - "\r\n", - "
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\r\n", - " \r\n", - " Physical qubit parameters\r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "
Qubit namequbit_gate_ns_e3\r\n", - "

Some descriptive name for the qubit model

\n", - "\r\n", - "
\r\n", - "

You can load pre-defined qubit parameters by using the names qubit_gate_ns_e3, qubit_gate_ns_e4, qubit_gate_us_e3, qubit_gate_us_e4, qubit_maj_ns_e4, or qubit_maj_ns_e6. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).

\n", - "\r\n", - "
Instruction setGateBased\r\n", - "

Underlying qubit technology (gate-based or Majorana)

\n", - "\r\n", - "
\r\n", - "

When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either gate-based or Majorana. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.

\n", - "\r\n", - "
Single-qubit measurement time100 ns\r\n", - "

Operation time for single-qubit measurement (t_meas) in ns

\n", - "\r\n", - "
\r\n", - "

This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.

\n", - "\r\n", - "
Single-qubit gate time50 ns\r\n", - "

Operation time for single-qubit gate (t_gate) in ns

\n", - "\r\n", - "
\r\n", - "

This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.

\n", - "\r\n", - "
Two-qubit gate time50 ns\r\n", - "

Operation time for two-qubit gate in ns

\n", - "\r\n", - "
\r\n", - "

This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.

\n", - "\r\n", - "
T gate time50 ns\r\n", - "

Operation time for a T gate

\n", - "\r\n", - "
\r\n", - "

This is the operation time in nanoseconds to execute a T gate.

\n", - "\r\n", - "
Single-qubit measurement error rate0.001\r\n", - "

Error rate for single-qubit measurement

\n", - "\r\n", - "
\r\n", - "

This is the probability in which a single-qubit measurement in the Pauli basis may fail.

\n", - "\r\n", - "
Single-qubit error rate0.001\r\n", - "

Error rate for single-qubit Clifford gate (p)

\n", - "\r\n", - "
\r\n", - "

This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.

\n", - "\r\n", - "
Two-qubit error rate0.001\r\n", - "

Error rate for two-qubit Clifford gate

\n", - "\r\n", - "
\r\n", - "

This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.

\n", - "\r\n", - "
T gate error rate0.001\r\n", - "

Error rate to prepare single-qubit T state or apply a T gate (p_T)

\n", - "\r\n", - "
\r\n", - "

This is the probability in which executing a single T gate may fail.

\n", - "\r\n", - "
\r\n", - "
\r\n", - " Assumptions\r\n", - "
    \r\n", - "

  • More details on the following lists of assumptions can be found in the paper Accessing requirements for scaling quantum computers and their applications.

    \n", - "
    • \r\n", - "

  • Uniform independent physical noise. We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.

    \n", - "
    • \r\n", - "

  • Efficient classical computation. We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.

    \n", - "
    • \r\n", - "

  • Extraction circuits for planar quantum ISA. We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).

    \n", - "
    • \r\n", - "

  • Uniform independent logical noise. We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.

    \n", - "
    • \r\n", - "

  • Negligible Clifford costs for synthesis. We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.

    \n", - "
    • \r\n", - "

  • Smooth magic state consumption rate. We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.

    \n", - "
    • \r\n", - "
\r\n" - ], - "text/plain": [ - "{'errorBudget': {'logical': 0.0005, 'rotations': 0.0, 'tstates': 0.0005},\n", - " 'jobParams': {'errorBudget': 0.001,\n", - " 'qecScheme': {'crossingPrefactor': 0.03,\n", - " 'errorCorrectionThreshold': 0.01,\n", - " 'logicalCycleTime': '(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance',\n", - " 'name': 'surface_code',\n", - " 'physicalQubitsPerLogicalQubit': '2 * codeDistance * codeDistance'},\n", - " 'qubitParams': {'instructionSet': 'GateBased',\n", - " 'name': 'qubit_gate_ns_e3',\n", - " 'oneQubitGateErrorRate': 0.001,\n", - " 'oneQubitGateTime': '50 ns',\n", - " 'oneQubitMeasurementErrorRate': 0.001,\n", - " 'oneQubitMeasurementTime': '100 ns',\n", - " 'tGateErrorRate': 0.001,\n", - " 'tGateTime': '50 ns',\n", - " 'twoQubitGateErrorRate': 0.001,\n", - " 'twoQubitGateTime': '50 ns'}},\n", - " 'logicalCounts': {'ccixCount': 0,\n", - " 'cczCount': 1,\n", - " 'measurementCount': 0,\n", - " 'numQubits': 4,\n", - " 'rotationCount': 0,\n", - " 'rotationDepth': 0,\n", - " 'tCount': 0},\n", - " 'logicalQubit': {'codeDistance': 9,\n", - " 'logicalCycleTime': 3600.0,\n", - " 'logicalErrorRate': 3.0000000000000015e-07,\n", - " 'physicalQubits': 162},\n", - " 'physicalCounts': {'breakdown': {'algorithmicLogicalDepth': 3,\n", - " 'algorithmicLogicalQubits': 15,\n", - " 'cliffordErrorRate': 0.001,\n", - " 'logicalDepth': 13,\n", - " 'numTfactories': 4,\n", - " 'numTfactoryRuns': 1,\n", - " 'numTsPerRotation': None,\n", - " 'numTstates': 4,\n", - " 'physicalQubitsForAlgorithm': 2430,\n", - " 'physicalQubitsForTfactories': 15680,\n", - " 'requiredLogicalQubitErrorRate': 2.564102564102564e-06,\n", - " 'requiredLogicalTstateErrorRate': 0.000125},\n", - " 'physicalQubits': 18110,\n", - " 'runtime': 46800},\n", - " 'physicalCountsFormatted': {'codeDistancePerRound': '7',\n", - " 'errorBudget': '1.00e-3',\n", - " 'errorBudgetLogical': '5.00e-4',\n", - " 'errorBudgetRotations': '0.00e0',\n", - " 'errorBudgetTstates': '5.00e-4',\n", - " 'logicalCycleTime': '3us 600ns',\n", - " 'logicalErrorRate': '3.00e-7',\n", - " 'numTsPerRotation': 'No rotations in algorithm',\n", - " 'numUnitsPerRound': '2',\n", - " 'physicalQubitsForTfactoriesPercentage': '86.58 %',\n", - " 'physicalQubitsPerRound': '3920',\n", - " 'requiredLogicalQubitErrorRate': '2.56e-6',\n", - " 'requiredLogicalTstateErrorRate': '1.25e-4',\n", - " 'runtime': '46us 800ns',\n", - " 'tfactoryRuntime': '36us 400ns',\n", - " 'tfactoryRuntimePerRound': '36us 400ns',\n", - " 'tstateLogicalErrorRate': '2.13e-5',\n", - " 'unitNamePerRound': '15-to-1 space efficient logical'},\n", - " 'reportData': {'assumptions': ['_More details on the following lists of assumptions can be found in the paper [Accessing requirements for scaling quantum computers and their applications](https://aka.ms/AQ/RE/Paper)._',\n", - " '**Uniform independent physical noise.** We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.',\n", - " '**Efficient classical computation.** We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.',\n", - " '**Extraction circuits for planar quantum ISA.** We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).',\n", - " '**Uniform independent logical noise.** We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.',\n", - " '**Negligible Clifford costs for synthesis.** We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.',\n", - " '**Smooth magic state consumption rate.** We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.'],\n", - " 'groups': [{'alwaysVisible': True,\n", - " 'entries': [{'description': 'Number of physical qubits',\n", - " 'explanation': 'This value represents the total number of physical qubits, which is the sum of 2430 physical qubits to implement the algorithm logic, and 15680 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.',\n", - " 'label': 'Physical qubits',\n", - " 'path': 'physicalCounts/physicalQubits'},\n", - " {'description': 'Total runtime',\n", - " 'explanation': 'This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (3us 600ns) multiplied by the 3 logical cycles to run the algorithm. If however the duration of a single T factory (here: 36us 400ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.',\n", - " 'label': 'Runtime',\n", - " 'path': 'physicalCountsFormatted/runtime'}],\n", - " 'title': 'Physical resource estimates'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Number of logical qubits for the algorithm after layout',\n", - " 'explanation': 'Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the $Q_{\\\\rm alg} = 4$ logical qubits in the input algorithm, we require in total $2 \\\\cdot Q_{\\\\rm alg} + \\\\lceil \\\\sqrt{8 \\\\cdot Q_{\\\\rm alg}}\\\\rceil + 1 = 15$ logical qubits.',\n", - " 'label': 'Logical algorithmic qubits',\n", - " 'path': 'physicalCounts/breakdown/algorithmicLogicalQubits'},\n", - " {'description': 'Number of logical cycles for the algorithm',\n", - " 'explanation': 'To execute the algorithm using _Parallel Synthesis Sequential Pauli Computation_ (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 0 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 1 CCZ and 0 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.',\n", - " 'label': 'Algorithmic depth',\n", - " 'path': 'physicalCounts/breakdown/algorithmicLogicalDepth'},\n", - " {'description': 'Number of logical cycles performed',\n", - " 'explanation': \"This number is usually equal to the logical depth of the algorithm, which is 3. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.\",\n", - " 'label': 'Logical depth',\n", - " 'path': 'physicalCounts/breakdown/logicalDepth'},\n", - " {'description': 'Number of T states consumed by the algorithm',\n", - " 'explanation': 'To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 1 CCZ and 0 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.',\n", - " 'label': 'Number of T states',\n", - " 'path': 'physicalCounts/breakdown/numTstates'},\n", - " {'description': \"Number of T factories capable of producing the demanded 4 T states during the algorithm's runtime\",\n", - " 'explanation': 'The total number of T factories 4 that are executed in parallel is computed as $\\\\left\\\\lceil\\\\dfrac{4\\\\;\\\\text{T states} \\\\cdot 36us 400ns\\\\;\\\\text{T factory duration}}{1\\\\;\\\\text{T states per T factory} \\\\cdot 46us 800ns\\\\;\\\\text{algorithm runtime}}\\\\right\\\\rceil$',\n", - " 'label': 'Number of T factories',\n", - " 'path': 'physicalCounts/breakdown/numTfactories'},\n", - " {'description': 'Number of times all T factories are invoked',\n", - " 'explanation': 'In order to prepare the 4 T states, the 4 copies of the T factory are repeatedly invoked 1 times.',\n", - " 'label': 'Number of T factory invocations',\n", - " 'path': 'physicalCounts/breakdown/numTfactoryRuns'},\n", - " {'description': 'Number of physical qubits for the algorithm after layout',\n", - " 'explanation': 'The 2430 are the product of the 15 logical qubits after layout and the 162 physical qubits that encode a single logical qubit.',\n", - " 'label': 'Physical algorithmic qubits',\n", - " 'path': 'physicalCounts/breakdown/physicalQubitsForAlgorithm'},\n", - " {'description': 'Number of physical qubits for the T factories',\n", - " 'explanation': 'Each T factory requires 3920 physical qubits and we run 4 in parallel, therefore we need $15680 = 3920 \\\\cdot 4$ qubits.',\n", - " 'label': 'Physical T factory qubits',\n", - " 'path': 'physicalCounts/breakdown/physicalQubitsForTfactories'},\n", - " {'description': 'The minimum logical qubit error rate required to run the algorithm within the error budget',\n", - " 'explanation': 'The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 15 logical qubits and the total cycle count 13.',\n", - " 'label': 'Required logical qubit error rate',\n", - " 'path': 'physicalCountsFormatted/requiredLogicalQubitErrorRate'},\n", - " {'description': 'The minimum T state error rate required for distilled T states',\n", - " 'explanation': 'The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 4.',\n", - " 'label': 'Required logical T state error rate',\n", - " 'path': 'physicalCountsFormatted/requiredLogicalTstateErrorRate'},\n", - " {'description': 'Number of T states to implement a rotation with an arbitrary angle',\n", - " 'explanation': 'The number of T states to implement a rotation with an arbitrary angle is $\\\\lceil 0.53 \\\\log_2(0 / 0) + 5.3\\\\rceil$ [[arXiv:2203.10064](https://arxiv.org/abs/2203.10064)]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.',\n", - " 'label': 'Number of T states per rotation',\n", - " 'path': 'physicalCountsFormatted/numTsPerRotation'}],\n", - " 'title': 'Resource estimates breakdown'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Name of QEC scheme',\n", - " 'explanation': 'You can load pre-defined QEC schemes by using the name `surface_code` or `floquet_code`. The latter only works with Majorana qubits.',\n", - " 'label': 'QEC scheme',\n", - " 'path': 'jobParams/qecScheme/name'},\n", - " {'description': 'Required code distance for error correction',\n", - " 'explanation': 'The code distance is the smallest odd integer greater or equal to $\\\\dfrac{2\\\\log(0.03 / 0.000002564102564102564)}{\\\\log(0.01/0.001)} - 1$',\n", - " 'label': 'Code distance',\n", - " 'path': 'logicalQubit/codeDistance'},\n", - " {'description': 'Number of physical qubits per logical qubit',\n", - " 'explanation': 'The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.',\n", - " 'label': 'Physical qubits',\n", - " 'path': 'logicalQubit/physicalQubits'},\n", - " {'description': 'Duration of a logical cycle in nanoseconds',\n", - " 'explanation': 'The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.',\n", - " 'label': 'Logical cycle time',\n", - " 'path': 'physicalCountsFormatted/logicalCycleTime'},\n", - " {'description': 'Logical qubit error rate',\n", - " 'explanation': 'The logical qubit error rate is computed as $0.03 \\\\cdot \\\\left(\\\\dfrac{0.001}{0.01}\\\\right)^\\\\frac{9 + 1}{2}$',\n", - " 'label': 'Logical qubit error rate',\n", - " 'path': 'physicalCountsFormatted/logicalErrorRate'},\n", - " {'description': 'Crossing prefactor used in QEC scheme',\n", - " 'explanation': 'The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.',\n", - " 'label': 'Crossing prefactor',\n", - " 'path': 'jobParams/qecScheme/crossingPrefactor'},\n", - " {'description': 'Error correction threshold used in QEC scheme',\n", - " 'explanation': 'The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.',\n", - " 'label': 'Error correction threshold',\n", - " 'path': 'jobParams/qecScheme/errorCorrectionThreshold'},\n", - " {'description': 'QEC scheme formula used to compute logical cycle time',\n", - " 'explanation': 'This is the formula that is used to compute the logical cycle time 3us 600ns.',\n", - " 'label': 'Logical cycle time formula',\n", - " 'path': 'jobParams/qecScheme/logicalCycleTime'},\n", - " {'description': 'QEC scheme formula used to compute number of physical qubits per logical qubit',\n", - " 'explanation': 'This is the formula that is used to compute the number of physical qubits per logical qubits 162.',\n", - " 'label': 'Physical qubits formula',\n", - " 'path': 'jobParams/qecScheme/physicalQubitsPerLogicalQubit'}],\n", - " 'title': 'Logical qubit parameters'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Number of physical qubits for a single T factory',\n", - " 'explanation': 'This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.',\n", - " 'label': 'Physical qubits',\n", - " 'path': 'tfactory/physicalQubits'},\n", - " {'description': 'Runtime of a single T factory',\n", - " 'explanation': 'The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.',\n", - " 'label': 'Runtime',\n", - " 'path': 'physicalCountsFormatted/tfactoryRuntime'},\n", - " {'description': 'Number of output T states produced in a single run of T factory',\n", - " 'explanation': 'The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.13e-5.',\n", - " 'label': 'Number of output T states per run',\n", - " 'path': 'tfactory/numTstates'},\n", - " {'description': 'Number of physical input T states consumed in a single run of a T factory',\n", - " 'explanation': 'This value includes the physical input T states of all copies of the distillation unit in the first round.',\n", - " 'label': 'Number of input T states per run',\n", - " 'path': 'tfactory/numInputTstates'},\n", - " {'description': 'The number of distillation rounds',\n", - " 'explanation': 'This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.',\n", - " 'label': 'Distillation rounds',\n", - " 'path': 'tfactory/numRounds'},\n", - " {'description': 'The number of units in each round of distillation',\n", - " 'explanation': 'This is the number of copies for the distillation units per round.',\n", - " 'label': 'Distillation units per round',\n", - " 'path': 'physicalCountsFormatted/numUnitsPerRound'},\n", - " {'description': 'The types of distillation units',\n", - " 'explanation': 'These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.',\n", - " 'label': 'Distillation units',\n", - " 'path': 'physicalCountsFormatted/unitNamePerRound'},\n", - " {'description': 'The code distance in each round of distillation',\n", - " 'explanation': 'This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.',\n", - " 'label': 'Distillation code distances',\n", - " 'path': 'physicalCountsFormatted/codeDistancePerRound'},\n", - " {'description': 'The number of physical qubits used in each round of distillation',\n", - " 'explanation': 'The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.',\n", - " 'label': 'Number of physical qubits per round',\n", - " 'path': 'physicalCountsFormatted/physicalQubitsPerRound'},\n", - " {'description': 'The runtime of each distillation round',\n", - " 'explanation': 'The runtime of the T factory is the sum of the runtimes in all rounds.',\n", - " 'label': 'Runtime per round',\n", - " 'path': 'physicalCountsFormatted/tfactoryRuntimePerRound'},\n", - " {'description': 'Logical T state error rate',\n", - " 'explanation': 'This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 1.25e-4.',\n", - " 'label': 'Logical T state error rate',\n", - " 'path': 'physicalCountsFormatted/tstateLogicalErrorRate'}],\n", - " 'title': 'T factory parameters'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Number of logical qubits in the input quantum program',\n", - " 'explanation': 'We determine 15 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.',\n", - " 'label': 'Logical qubits (pre-layout)',\n", - " 'path': 'logicalCounts/numQubits'},\n", - " {'description': 'Number of T gates in the input quantum program',\n", - " 'explanation': 'This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.',\n", - " 'label': 'T gates',\n", - " 'path': 'logicalCounts/tCount'},\n", - " {'description': 'Number of rotation gates in the input quantum program',\n", - " 'explanation': 'This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.',\n", - " 'label': 'Rotation gates',\n", - " 'path': 'logicalCounts/rotationCount'},\n", - " {'description': 'Depth of rotation gates in the input quantum program',\n", - " 'explanation': 'This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.',\n", - " 'label': 'Rotation depth',\n", - " 'path': 'logicalCounts/rotationDepth'},\n", - " {'description': 'Number of CCZ-gates in the input quantum program',\n", - " 'explanation': 'This is the number of CCZ gates.',\n", - " 'label': 'CCZ gates',\n", - " 'path': 'logicalCounts/cczCount'},\n", - " {'description': 'Number of CCiX-gates in the input quantum program',\n", - " 'explanation': 'This is the number of CCiX gates, which applies $-iX$ controlled on two control qubits [[1212.5069](https://arxiv.org/abs/1212.5069)].',\n", - " 'label': 'CCiX gates',\n", - " 'path': 'logicalCounts/ccixCount'},\n", - " {'description': 'Number of single qubit measurements in the input quantum program',\n", - " 'explanation': 'This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.',\n", - " 'label': 'Measurement operations',\n", - " 'path': 'logicalCounts/measurementCount'}],\n", - " 'title': 'Pre-layout logical resources'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Total error budget for the algorithm',\n", - " 'explanation': \"The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget $\\\\epsilon = \\\\epsilon_{\\\\log} + \\\\epsilon_{\\\\rm dis} + \\\\epsilon_{\\\\rm syn}$ is uniformly distributed and applies to errors $\\\\epsilon_{\\\\log}$ to implement logical qubits, an error budget $\\\\epsilon_{\\\\rm dis}$ to produce T states through distillation, and an error budget $\\\\epsilon_{\\\\rm syn}$ to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets $\\\\epsilon_{\\\\rm dis}$ and $\\\\epsilon_{\\\\rm syn}$ are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.\",\n", - " 'label': 'Total error budget',\n", - " 'path': 'physicalCountsFormatted/errorBudget'},\n", - " {'description': 'Probability of at least one logical error',\n", - " 'explanation': 'This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.',\n", - " 'label': 'Logical error probability',\n", - " 'path': 'physicalCountsFormatted/errorBudgetLogical'},\n", - " {'description': 'Probability of at least one faulty T distillation',\n", - " 'explanation': 'This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.',\n", - " 'label': 'T distillation error probability',\n", - " 'path': 'physicalCountsFormatted/errorBudgetTstates'},\n", - " {'description': 'Probability of at least one failed rotation synthesis',\n", - " 'explanation': 'This is one third of the total error budget 1.00e-3.',\n", - " 'label': 'Rotation synthesis error probability',\n", - " 'path': 'physicalCountsFormatted/errorBudgetRotations'}],\n", - " 'title': 'Assumed error budget'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Some descriptive name for the qubit model',\n", - " 'explanation': 'You can load pre-defined qubit parameters by using the names `qubit_gate_ns_e3`, `qubit_gate_ns_e4`, `qubit_gate_us_e3`, `qubit_gate_us_e4`, `qubit_maj_ns_e4`, or `qubit_maj_ns_e6`. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).',\n", - " 'label': 'Qubit name',\n", - " 'path': 'jobParams/qubitParams/name'},\n", - " {'description': 'Underlying qubit technology (gate-based or Majorana)',\n", - " 'explanation': 'When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either *gate-based* or *Majorana*. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.',\n", - " 'label': 'Instruction set',\n", - " 'path': 'jobParams/qubitParams/instructionSet'},\n", - " {'description': 'Operation time for single-qubit measurement (t_meas) in ns',\n", - " 'explanation': 'This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.',\n", - " 'label': 'Single-qubit measurement time',\n", - " 'path': 'jobParams/qubitParams/oneQubitMeasurementTime'},\n", - " {'description': 'Operation time for single-qubit gate (t_gate) in ns',\n", - " 'explanation': 'This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.',\n", - " 'label': 'Single-qubit gate time',\n", - " 'path': 'jobParams/qubitParams/oneQubitGateTime'},\n", - " {'description': 'Operation time for two-qubit gate in ns',\n", - " 'explanation': 'This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.',\n", - " 'label': 'Two-qubit gate time',\n", - " 'path': 'jobParams/qubitParams/twoQubitGateTime'},\n", - " {'description': 'Operation time for a T gate',\n", - " 'explanation': 'This is the operation time in nanoseconds to execute a T gate.',\n", - " 'label': 'T gate time',\n", - " 'path': 'jobParams/qubitParams/tGateTime'},\n", - " {'description': 'Error rate for single-qubit measurement',\n", - " 'explanation': 'This is the probability in which a single-qubit measurement in the Pauli basis may fail.',\n", - " 'label': 'Single-qubit measurement error rate',\n", - " 'path': 'jobParams/qubitParams/oneQubitMeasurementErrorRate'},\n", - " {'description': 'Error rate for single-qubit Clifford gate (p)',\n", - " 'explanation': 'This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.',\n", - " 'label': 'Single-qubit error rate',\n", - " 'path': 'jobParams/qubitParams/oneQubitGateErrorRate'},\n", - " {'description': 'Error rate for two-qubit Clifford gate',\n", - " 'explanation': 'This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.',\n", - " 'label': 'Two-qubit error rate',\n", - " 'path': 'jobParams/qubitParams/twoQubitGateErrorRate'},\n", - " {'description': 'Error rate to prepare single-qubit T state or apply a T gate (p_T)',\n", - " 'explanation': 'This is the probability in which executing a single T gate may fail.',\n", - " 'label': 'T gate error rate',\n", - " 'path': 'jobParams/qubitParams/tGateErrorRate'}],\n", - " 'title': 'Physical qubit parameters'}]},\n", - " 'status': 'success',\n", - " 'tfactory': {'codeDistancePerRound': [7],\n", - " 'logicalErrorRate': 2.133500000000001e-05,\n", - " 'numInputTstates': 30,\n", - " 'numRounds': 1,\n", - " 'numTstates': 1,\n", - " 'numUnitsPerRound': [2],\n", - " 'physicalQubits': 3920,\n", - " 'physicalQubitsPerRound': [3920],\n", - " 'runtime': 36400.0,\n", - " 'runtimePerRound': [36400.0],\n", - " 'unitNamePerRound': ['15-to-1 space efficient logical']}}" - ] - }, - "execution_count": 63, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# If you need to pull up the results of an old job, use its job ID with qsharp.azure.output command\n", "# result = qsharp.azure.output(\"...\")\n", @@ -1978,7 +357,7 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -2004,7 +383,7 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -2016,27 +395,7 @@ } } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Logical algorithmic qubits = 15\n", - "Algorithmic depth = 3\n", - "Score = 45\n" - ] - }, - { - "data": { - "text/plain": [ - "45" - ] - }, - "execution_count": 65, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "evaluate_results(result)" ] diff --git a/iQuHack-challenge-2023-task1.ipynb b/iQuHack-challenge-2023-task1.ipynb index 9c06fd1..7607d81 100644 --- a/iQuHack-challenge-2023-task1.ipynb +++ b/iQuHack-challenge-2023-task1.ipynb @@ -34,7 +34,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -46,47 +46,7 @@ } } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[\n", - " {\n", - " \"cloudName\": \"AzureCloud\",\n", - " \"homeTenantId\": \"aaf653e1-0bcd-4c2c-8658-12eb03e15774\",\n", - " \"id\": \"6d61051a-6e40-4845-a03a-3c5160bb5629\",\n", - " \"isDefault\": true,\n", - " \"managedByTenants\": [\n", - " {\n", - " \"tenantId\": \"d0ecd01b-d782-448e-bae0-c3cad0e0543a\"\n", - " },\n", - " {\n", - " \"tenantId\": \"94c4857e-1130-4ab8-8eac-069b40c9db20\"\n", - " },\n", - " {\n", - " \"tenantId\": \"f702a9dc-ae48-4dc7-8f0a-8155a6dfa4e5\"\n", - " }\n", - " ],\n", - " \"name\": \"Azure for Students\",\n", - " \"state\": \"Enabled\",\n", - " \"tenantId\": \"aaf653e1-0bcd-4c2c-8658-12eb03e15774\",\n", - " \"user\": {\n", - " \"name\": \"papadm2@rpi.edu\",\n", - " \"type\": \"user\"\n", - " }\n", - " }\n", - "]\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "WARNING: A web browser has been opened at https://login.microsoftonline.com/organizations/oauth2/v2.0/authorize. Please continue the login in the web browser. If no web browser is available or if the web browser fails to open, use device code flow with `az login --use-device-code`.\n" - ] - } - ], + "outputs": [], "source": [ "!az login" ] @@ -106,7 +66,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -127,7 +87,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -148,7 +108,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -184,7 +144,7 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -220,7 +180,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -276,7 +236,7 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -288,462 +248,7 @@ } } }, - "outputs": [ - { - "data": { - "application/x-qsharp-data": "{\"diagnostic_kind\":\"state-vector\",\"qubit_ids\":[0,1,2,3],\"n_qubits\":4,\"amplitudes\":{\"0\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"1\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"2\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"3\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"4\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"5\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"6\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"7\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"8\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"9\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"10\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"11\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0},\"12\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"13\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"14\":{\"Real\":0.0,\"Imaginary\":0.0,\"Magnitude\":0.0,\"Phase\":0.0},\"15\":{\"Real\":0.35355339059327384,\"Imaginary\":0.0,\"Magnitude\":0.35355339059327384,\"Phase\":0.0}}}", - "text/html": [ - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "
Qubit IDs0, 1, 2, 3
Basis state (bitstring)AmplitudeMeas. Pr.
$\\left|0000\\right\\rangle$$0.3536 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

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$\\left|0001\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|0010\\right\\rangle$$0.3536 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|0011\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|0100\\right\\rangle$$0.3536 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|0101\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|0110\\right\\rangle$$0.3536 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|0111\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|1000\\right\\rangle$$0.3536 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|1001\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|1010\\right\\rangle$$0.3536 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|1011\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|1100\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|1101\\right\\rangle$$0.3536 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|1110\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|1111\\right\\rangle$$0.3536 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
" - ], - "text/plain": [ - "|0000⟩\t0.35355339059327384 + 0𝑖\n", - "|0001⟩\t0 + 0𝑖\n", - "|0010⟩\t0.35355339059327384 + 0𝑖\n", - "|0011⟩\t0 + 0𝑖\n", - "|0100⟩\t0.35355339059327384 + 0𝑖\n", - "|0101⟩\t0 + 0𝑖\n", - "|0110⟩\t0.35355339059327384 + 0𝑖\n", - "|0111⟩\t0 + 0𝑖\n", - "|1000⟩\t0.35355339059327384 + 0𝑖\n", - "|1001⟩\t0 + 0𝑖\n", - "|1010⟩\t0.35355339059327384 + 0𝑖\n", - "|1011⟩\t0 + 0𝑖\n", - "|1100⟩\t0 + 0𝑖\n", - "|1101⟩\t0.35355339059327384 + 0𝑖\n", - "|1110⟩\t0 + 0𝑖\n", - "|1111⟩\t0.35355339059327384 + 0𝑖" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/plain": [ - "()" - ] - }, - "execution_count": 59, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# Note that in the output of this cell the target qubit corresponds to the rightmost bit\n", "qsharp.config[\"dump.basisStateLabelingConvention\"]=\"Bitstring\"\n", @@ -768,7 +273,7 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -780,56 +285,7 @@ } } }, - "outputs": [ - { - "data": { - "application/x-qsharp-data": "\"Connecting to Azure Quantum...\"", - "text/plain": [ - "Connecting to Azure Quantum..." - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Connected to Azure Quantum workspace iQuHack-Workspace-micpap25 in location eastus.\r\n" - ] - }, - { - "data": { - "text/plain": [ - "[{'id': 'ionq.qpu', 'current_availability': {}, 'average_queue_time': 265936},\n", - " {'id': 'ionq.qpu.aria-1', 'current_availability': {}, 'average_queue_time': 338807},\n", - " {'id': 'ionq.simulator', 'current_availability': {}, 'average_queue_time': 3},\n", - " {'id': 'microsoft.estimator', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.hqs-lt-s1', 'current_availability': {}, 'average_queue_time': 257411},\n", - " {'id': 'quantinuum.hqs-lt-s1-apival', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.hqs-lt-s2', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.hqs-lt-s2-apival', 'current_availability': {}, 'average_queue_time': 1},\n", - " {'id': 'quantinuum.hqs-lt-s1-sim', 'current_availability': {}, 'average_queue_time': 4312},\n", - " {'id': 'quantinuum.hqs-lt-s2-sim', 'current_availability': {}, 'average_queue_time': 140},\n", - " {'id': 'quantinuum.hqs-lt', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.qpu.h1-1', 'current_availability': {}, 'average_queue_time': 257411},\n", - " {'id': 'quantinuum.sim.h1-1sc', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.qpu.h1-2', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.sim.h1-2sc', 'current_availability': {}, 'average_queue_time': 1},\n", - " {'id': 'quantinuum.sim.h1-1e', 'current_availability': {}, 'average_queue_time': 4312},\n", - " {'id': 'quantinuum.sim.h1-2e', 'current_availability': {}, 'average_queue_time': 140},\n", - " {'id': 'quantinuum.qpu.h1', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'rigetti.sim.qvm', 'current_availability': {}, 'average_queue_time': 5},\n", - " {'id': 'rigetti.qpu.aspen-11', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'rigetti.qpu.aspen-m-2', 'current_availability': {}, 'average_queue_time': 5},\n", - " {'id': 'rigetti.qpu.aspen-m-3', 'current_availability': {}, 'average_queue_time': 5}]" - ] - }, - "execution_count": 60, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# If you're using this notebook in Azure Quantum hosted notebooks, remove the credential=\"CLI\" parameter!\n", "# If you're using this notebook in qBraid, keep it\n", @@ -841,7 +297,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -853,33 +309,14 @@ } } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Loading package Microsoft.Quantum.Providers.Core and dependencies...\r\n", - "Active target is now microsoft.estimator\r\n" - ] - }, - { - "data": { - "text/plain": [ - "{'id': 'microsoft.estimator', 'current_availability': {}, 'average_queue_time': 0}" - ] - }, - "execution_count": 61, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "qsharp.azure.target(\"microsoft.estimator\")" ] }, { "cell_type": "code", - "execution_count": 62, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -891,21 +328,7 @@ } } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Submitting Task1_ResourceEstimationWrapper to target microsoft.estimator...\n", - "Job successfully submitted.\n", - " Job name: RE for the task 1\n", - " Job ID: 804f1a1a-674a-4880-a21c-cc7008a5b18f\n", - "Waiting up to 30 seconds for Azure Quantum job to complete...\n", - "[1:52:36 PM] Current job status: Executing\n", - "[1:52:41 PM] Current job status: Succeeded\n" - ] - } - ], + "outputs": [], "source": [ "# Update job name to a more descriptive string to make it easier to find it in Job Management tab later\n", "result = qsharp.azure.execute(Task1_ResourceEstimationWrapper, jobName=\"RE for the task 1\")" @@ -913,7 +336,7 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -925,1051 +348,7 @@ } } }, - "outputs": [ - { - "data": { - "application/x-qsharp-data": "{\"errorBudget\":{\"logical\":0.0005,\"rotations\":0.0,\"tstates\":0.0005},\"jobParams\":{\"errorBudget\":0.001,\"qecScheme\":{\"crossingPrefactor\":0.03,\"errorCorrectionThreshold\":0.01,\"logicalCycleTime\":\"(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance\",\"name\":\"surface_code\",\"physicalQubitsPerLogicalQubit\":\"2 * codeDistance * codeDistance\"},\"qubitParams\":{\"instructionSet\":\"GateBased\",\"name\":\"qubit_gate_ns_e3\",\"oneQubitGateErrorRate\":0.001,\"oneQubitGateTime\":\"50 ns\",\"oneQubitMeasurementErrorRate\":0.001,\"oneQubitMeasurementTime\":\"100 ns\",\"tGateErrorRate\":0.001,\"tGateTime\":\"50 ns\",\"twoQubitGateErrorRate\":0.001,\"twoQubitGateTime\":\"50 ns\"}},\"logicalCounts\":{\"ccixCount\":0,\"cczCount\":1,\"measurementCount\":0,\"numQubits\":4,\"rotationCount\":0,\"rotationDepth\":0,\"tCount\":0},\"logicalQubit\":{\"codeDistance\":9,\"logicalCycleTime\":3600.0,\"logicalErrorRate\":3.0000000000000015E-07,\"physicalQubits\":162},\"physicalCounts\":{\"breakdown\":{\"algorithmicLogicalDepth\":3,\"algorithmicLogicalQubits\":15,\"cliffordErrorRate\":0.001,\"logicalDepth\":13,\"numTfactories\":4,\"numTfactoryRuns\":1,\"numTsPerRotation\":null,\"numTstates\":4,\"physicalQubitsForAlgorithm\":2430,\"physicalQubitsForTfactories\":15680,\"requiredLogicalQubitErrorRate\":2.564102564102564E-06,\"requiredLogicalTstateErrorRate\":0.000125},\"physicalQubits\":18110,\"runtime\":46800},\"physicalCountsFormatted\":{\"codeDistancePerRound\":\"7\",\"errorBudget\":\"1.00e-3\",\"errorBudgetLogical\":\"5.00e-4\",\"errorBudgetRotations\":\"0.00e0\",\"errorBudgetTstates\":\"5.00e-4\",\"logicalCycleTime\":\"3us 600ns\",\"logicalErrorRate\":\"3.00e-7\",\"numTsPerRotation\":\"No rotations in algorithm\",\"numUnitsPerRound\":\"2\",\"physicalQubitsForTfactoriesPercentage\":\"86.58 %\",\"physicalQubitsPerRound\":\"3920\",\"requiredLogicalQubitErrorRate\":\"2.56e-6\",\"requiredLogicalTstateErrorRate\":\"1.25e-4\",\"runtime\":\"46us 800ns\",\"tfactoryRuntime\":\"36us 400ns\",\"tfactoryRuntimePerRound\":\"36us 400ns\",\"tstateLogicalErrorRate\":\"2.13e-5\",\"unitNamePerRound\":\"15-to-1 space efficient logical\"},\"reportData\":{\"assumptions\":[\"_More details on the following lists of assumptions can be found in the paper [Accessing requirements for scaling quantum computers and their applications](https://aka.ms/AQ/RE/Paper)._\",\"**Uniform independent physical noise.** We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.\",\"**Efficient classical computation.** We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.\",\"**Extraction circuits for planar quantum ISA.** We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).\",\"**Uniform independent logical noise.** We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.\",\"**Negligible Clifford costs for synthesis.** We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.\",\"**Smooth magic state consumption rate.** We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.\"],\"groups\":[{\"alwaysVisible\":true,\"entries\":[{\"description\":\"Number of physical qubits\",\"explanation\":\"This value represents the total number of physical qubits, which is the sum of 2430 physical qubits to implement the algorithm logic, and 15680 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.\",\"label\":\"Physical qubits\",\"path\":\"physicalCounts/physicalQubits\"},{\"description\":\"Total runtime\",\"explanation\":\"This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (3us 600ns) multiplied by the 3 logical cycles to run the algorithm. If however the duration of a single T factory (here: 36us 400ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.\",\"label\":\"Runtime\",\"path\":\"physicalCountsFormatted/runtime\"}],\"title\":\"Physical resource estimates\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of logical qubits for the algorithm after layout\",\"explanation\":\"Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the $Q_{\\\\rm alg} = 4$ logical qubits in the input algorithm, we require in total $2 \\\\cdot Q_{\\\\rm alg} + \\\\lceil \\\\sqrt{8 \\\\cdot Q_{\\\\rm alg}}\\\\rceil + 1 = 15$ logical qubits.\",\"label\":\"Logical algorithmic qubits\",\"path\":\"physicalCounts/breakdown/algorithmicLogicalQubits\"},{\"description\":\"Number of logical cycles for the algorithm\",\"explanation\":\"To execute the algorithm using _Parallel Synthesis Sequential Pauli Computation_ (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 0 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 1 CCZ and 0 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.\",\"label\":\"Algorithmic depth\",\"path\":\"physicalCounts/breakdown/algorithmicLogicalDepth\"},{\"description\":\"Number of logical cycles performed\",\"explanation\":\"This number is usually equal to the logical depth of the algorithm, which is 3. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.\",\"label\":\"Logical depth\",\"path\":\"physicalCounts/breakdown/logicalDepth\"},{\"description\":\"Number of T states consumed by the algorithm\",\"explanation\":\"To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 1 CCZ and 0 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.\",\"label\":\"Number of T states\",\"path\":\"physicalCounts/breakdown/numTstates\"},{\"description\":\"Number of T factories capable of producing the demanded 4 T states during the algorithm's runtime\",\"explanation\":\"The total number of T factories 4 that are executed in parallel is computed as $\\\\left\\\\lceil\\\\dfrac{4\\\\;\\\\text{T states} \\\\cdot 36us 400ns\\\\;\\\\text{T factory duration}}{1\\\\;\\\\text{T states per T factory} \\\\cdot 46us 800ns\\\\;\\\\text{algorithm runtime}}\\\\right\\\\rceil$\",\"label\":\"Number of T factories\",\"path\":\"physicalCounts/breakdown/numTfactories\"},{\"description\":\"Number of times all T factories are invoked\",\"explanation\":\"In order to prepare the 4 T states, the 4 copies of the T factory are repeatedly invoked 1 times.\",\"label\":\"Number of T factory invocations\",\"path\":\"physicalCounts/breakdown/numTfactoryRuns\"},{\"description\":\"Number of physical qubits for the algorithm after layout\",\"explanation\":\"The 2430 are the product of the 15 logical qubits after layout and the 162 physical qubits that encode a single logical qubit.\",\"label\":\"Physical algorithmic qubits\",\"path\":\"physicalCounts/breakdown/physicalQubitsForAlgorithm\"},{\"description\":\"Number of physical qubits for the T factories\",\"explanation\":\"Each T factory requires 3920 physical qubits and we run 4 in parallel, therefore we need $15680 = 3920 \\\\cdot 4$ qubits.\",\"label\":\"Physical T factory qubits\",\"path\":\"physicalCounts/breakdown/physicalQubitsForTfactories\"},{\"description\":\"The minimum logical qubit error rate required to run the algorithm within the error budget\",\"explanation\":\"The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 15 logical qubits and the total cycle count 13.\",\"label\":\"Required logical qubit error rate\",\"path\":\"physicalCountsFormatted/requiredLogicalQubitErrorRate\"},{\"description\":\"The minimum T state error rate required for distilled T states\",\"explanation\":\"The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 4.\",\"label\":\"Required logical T state error rate\",\"path\":\"physicalCountsFormatted/requiredLogicalTstateErrorRate\"},{\"description\":\"Number of T states to implement a rotation with an arbitrary angle\",\"explanation\":\"The number of T states to implement a rotation with an arbitrary angle is $\\\\lceil 0.53 \\\\log_2(0 / 0) + 5.3\\\\rceil$ [[arXiv:2203.10064](https://arxiv.org/abs/2203.10064)]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.\",\"label\":\"Number of T states per rotation\",\"path\":\"physicalCountsFormatted/numTsPerRotation\"}],\"title\":\"Resource estimates breakdown\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Name of QEC scheme\",\"explanation\":\"You can load pre-defined QEC schemes by using the name `surface_code` or `floquet_code`. The latter only works with Majorana qubits.\",\"label\":\"QEC scheme\",\"path\":\"jobParams/qecScheme/name\"},{\"description\":\"Required code distance for error correction\",\"explanation\":\"The code distance is the smallest odd integer greater or equal to $\\\\dfrac{2\\\\log(0.03 / 0.000002564102564102564)}{\\\\log(0.01/0.001)} - 1$\",\"label\":\"Code distance\",\"path\":\"logicalQubit/codeDistance\"},{\"description\":\"Number of physical qubits per logical qubit\",\"explanation\":\"The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.\",\"label\":\"Physical qubits\",\"path\":\"logicalQubit/physicalQubits\"},{\"description\":\"Duration of a logical cycle in nanoseconds\",\"explanation\":\"The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.\",\"label\":\"Logical cycle time\",\"path\":\"physicalCountsFormatted/logicalCycleTime\"},{\"description\":\"Logical qubit error rate\",\"explanation\":\"The logical qubit error rate is computed as $0.03 \\\\cdot \\\\left(\\\\dfrac{0.001}{0.01}\\\\right)^\\\\frac{9 + 1}{2}$\",\"label\":\"Logical qubit error rate\",\"path\":\"physicalCountsFormatted/logicalErrorRate\"},{\"description\":\"Crossing prefactor used in QEC scheme\",\"explanation\":\"The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.\",\"label\":\"Crossing prefactor\",\"path\":\"jobParams/qecScheme/crossingPrefactor\"},{\"description\":\"Error correction threshold used in QEC scheme\",\"explanation\":\"The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.\",\"label\":\"Error correction threshold\",\"path\":\"jobParams/qecScheme/errorCorrectionThreshold\"},{\"description\":\"QEC scheme formula used to compute logical cycle time\",\"explanation\":\"This is the formula that is used to compute the logical cycle time 3us 600ns.\",\"label\":\"Logical cycle time formula\",\"path\":\"jobParams/qecScheme/logicalCycleTime\"},{\"description\":\"QEC scheme formula used to compute number of physical qubits per logical qubit\",\"explanation\":\"This is the formula that is used to compute the number of physical qubits per logical qubits 162.\",\"label\":\"Physical qubits formula\",\"path\":\"jobParams/qecScheme/physicalQubitsPerLogicalQubit\"}],\"title\":\"Logical qubit parameters\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of physical qubits for a single T factory\",\"explanation\":\"This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.\",\"label\":\"Physical qubits\",\"path\":\"tfactory/physicalQubits\"},{\"description\":\"Runtime of a single T factory\",\"explanation\":\"The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.\",\"label\":\"Runtime\",\"path\":\"physicalCountsFormatted/tfactoryRuntime\"},{\"description\":\"Number of output T states produced in a single run of T factory\",\"explanation\":\"The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.13e-5.\",\"label\":\"Number of output T states per run\",\"path\":\"tfactory/numTstates\"},{\"description\":\"Number of physical input T states consumed in a single run of a T factory\",\"explanation\":\"This value includes the physical input T states of all copies of the distillation unit in the first round.\",\"label\":\"Number of input T states per run\",\"path\":\"tfactory/numInputTstates\"},{\"description\":\"The number of distillation rounds\",\"explanation\":\"This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.\",\"label\":\"Distillation rounds\",\"path\":\"tfactory/numRounds\"},{\"description\":\"The number of units in each round of distillation\",\"explanation\":\"This is the number of copies for the distillation units per round.\",\"label\":\"Distillation units per round\",\"path\":\"physicalCountsFormatted/numUnitsPerRound\"},{\"description\":\"The types of distillation units\",\"explanation\":\"These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.\",\"label\":\"Distillation units\",\"path\":\"physicalCountsFormatted/unitNamePerRound\"},{\"description\":\"The code distance in each round of distillation\",\"explanation\":\"This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.\",\"label\":\"Distillation code distances\",\"path\":\"physicalCountsFormatted/codeDistancePerRound\"},{\"description\":\"The number of physical qubits used in each round of distillation\",\"explanation\":\"The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.\",\"label\":\"Number of physical qubits per round\",\"path\":\"physicalCountsFormatted/physicalQubitsPerRound\"},{\"description\":\"The runtime of each distillation round\",\"explanation\":\"The runtime of the T factory is the sum of the runtimes in all rounds.\",\"label\":\"Runtime per round\",\"path\":\"physicalCountsFormatted/tfactoryRuntimePerRound\"},{\"description\":\"Logical T state error rate\",\"explanation\":\"This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 1.25e-4.\",\"label\":\"Logical T state error rate\",\"path\":\"physicalCountsFormatted/tstateLogicalErrorRate\"}],\"title\":\"T factory parameters\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of logical qubits in the input quantum program\",\"explanation\":\"We determine 15 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.\",\"label\":\"Logical qubits (pre-layout)\",\"path\":\"logicalCounts/numQubits\"},{\"description\":\"Number of T gates in the input quantum program\",\"explanation\":\"This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.\",\"label\":\"T gates\",\"path\":\"logicalCounts/tCount\"},{\"description\":\"Number of rotation gates in the input quantum program\",\"explanation\":\"This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.\",\"label\":\"Rotation gates\",\"path\":\"logicalCounts/rotationCount\"},{\"description\":\"Depth of rotation gates in the input quantum program\",\"explanation\":\"This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.\",\"label\":\"Rotation depth\",\"path\":\"logicalCounts/rotationDepth\"},{\"description\":\"Number of CCZ-gates in the input quantum program\",\"explanation\":\"This is the number of CCZ gates.\",\"label\":\"CCZ gates\",\"path\":\"logicalCounts/cczCount\"},{\"description\":\"Number of CCiX-gates in the input quantum program\",\"explanation\":\"This is the number of CCiX gates, which applies $-iX$ controlled on two control qubits [[1212.5069](https://arxiv.org/abs/1212.5069)].\",\"label\":\"CCiX gates\",\"path\":\"logicalCounts/ccixCount\"},{\"description\":\"Number of single qubit measurements in the input quantum program\",\"explanation\":\"This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.\",\"label\":\"Measurement operations\",\"path\":\"logicalCounts/measurementCount\"}],\"title\":\"Pre-layout logical resources\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Total error budget for the algorithm\",\"explanation\":\"The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget $\\\\epsilon = \\\\epsilon_{\\\\log} + \\\\epsilon_{\\\\rm dis} + \\\\epsilon_{\\\\rm syn}$ is uniformly distributed and applies to errors $\\\\epsilon_{\\\\log}$ to implement logical qubits, an error budget $\\\\epsilon_{\\\\rm dis}$ to produce T states through distillation, and an error budget $\\\\epsilon_{\\\\rm syn}$ to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets $\\\\epsilon_{\\\\rm dis}$ and $\\\\epsilon_{\\\\rm syn}$ are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.\",\"label\":\"Total error budget\",\"path\":\"physicalCountsFormatted/errorBudget\"},{\"description\":\"Probability of at least one logical error\",\"explanation\":\"This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.\",\"label\":\"Logical error probability\",\"path\":\"physicalCountsFormatted/errorBudgetLogical\"},{\"description\":\"Probability of at least one faulty T distillation\",\"explanation\":\"This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.\",\"label\":\"T distillation error probability\",\"path\":\"physicalCountsFormatted/errorBudgetTstates\"},{\"description\":\"Probability of at least one failed rotation synthesis\",\"explanation\":\"This is one third of the total error budget 1.00e-3.\",\"label\":\"Rotation synthesis error probability\",\"path\":\"physicalCountsFormatted/errorBudgetRotations\"}],\"title\":\"Assumed error budget\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Some descriptive name for the qubit model\",\"explanation\":\"You can load pre-defined qubit parameters by using the names `qubit_gate_ns_e3`, `qubit_gate_ns_e4`, `qubit_gate_us_e3`, `qubit_gate_us_e4`, `qubit_maj_ns_e4`, or `qubit_maj_ns_e6`. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or ¬µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).\",\"label\":\"Qubit name\",\"path\":\"jobParams/qubitParams/name\"},{\"description\":\"Underlying qubit technology (gate-based or Majorana)\",\"explanation\":\"When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either *gate-based* or *Majorana*. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.\",\"label\":\"Instruction set\",\"path\":\"jobParams/qubitParams/instructionSet\"},{\"description\":\"Operation time for single-qubit measurement (t_meas) in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.\",\"label\":\"Single-qubit measurement time\",\"path\":\"jobParams/qubitParams/oneQubitMeasurementTime\"},{\"description\":\"Operation time for single-qubit gate (t_gate) in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.\",\"label\":\"Single-qubit gate time\",\"path\":\"jobParams/qubitParams/oneQubitGateTime\"},{\"description\":\"Operation time for two-qubit gate in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.\",\"label\":\"Two-qubit gate time\",\"path\":\"jobParams/qubitParams/twoQubitGateTime\"},{\"description\":\"Operation time for a T gate\",\"explanation\":\"This is the operation time in nanoseconds to execute a T gate.\",\"label\":\"T gate time\",\"path\":\"jobParams/qubitParams/tGateTime\"},{\"description\":\"Error rate for single-qubit measurement\",\"explanation\":\"This is the probability in which a single-qubit measurement in the Pauli basis may fail.\",\"label\":\"Single-qubit measurement error rate\",\"path\":\"jobParams/qubitParams/oneQubitMeasurementErrorRate\"},{\"description\":\"Error rate for single-qubit Clifford gate (p)\",\"explanation\":\"This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.\",\"label\":\"Single-qubit error rate\",\"path\":\"jobParams/qubitParams/oneQubitGateErrorRate\"},{\"description\":\"Error rate for two-qubit Clifford gate\",\"explanation\":\"This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.\",\"label\":\"Two-qubit error rate\",\"path\":\"jobParams/qubitParams/twoQubitGateErrorRate\"},{\"description\":\"Error rate to prepare single-qubit T state or apply a T gate (p_T)\",\"explanation\":\"This is the probability in which executing a single T gate may fail.\",\"label\":\"T gate error rate\",\"path\":\"jobParams/qubitParams/tGateErrorRate\"}],\"title\":\"Physical qubit parameters\"}]},\"status\":\"success\",\"tfactory\":{\"codeDistancePerRound\":[7],\"logicalErrorRate\":2.133500000000001E-05,\"numInputTstates\":30,\"numRounds\":1,\"numTstates\":1,\"numUnitsPerRound\":[2],\"physicalQubits\":3920,\"physicalQubitsPerRound\":[3920],\"runtime\":36400.0,\"runtimePerRound\":[36400.0],\"unitNamePerRound\":[\"15-to-1 space efficient logical\"]}}", - "text/html": [ - "\r\n", - "
\r\n", - " \r\n", - " Physical resource estimates\r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "
Physical qubits18110\r\n", - "

Number of physical qubits

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This value represents the total number of physical qubits, which is the sum of 2430 physical qubits to implement the algorithm logic, and 15680 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.

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Runtime46us 800ns\r\n", - "

Total runtime

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This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (3us 600ns) multiplied by the 3 logical cycles to run the algorithm. If however the duration of a single T factory (here: 36us 400ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.

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Logical algorithmic qubits15\r\n", - "

Number of logical qubits for the algorithm after layout

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Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the \\(Q_{\\rm alg} = 4\\) logical qubits in the input algorithm, we require in total $2 \\cdot Q_{\\rm alg} + \\lceil \\sqrt{8 \\cdot Q_{\\rm alg}}\\rceil + 1 = 15$ logical qubits.

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Algorithmic depth3\r\n", - "

Number of logical cycles for the algorithm

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To execute the algorithm using Parallel Synthesis Sequential Pauli Computation (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 0 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 1 CCZ and 0 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.

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Logical depth13\r\n", - "

Number of logical cycles performed

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This number is usually equal to the logical depth of the algorithm, which is 3. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.

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Number of T states4\r\n", - "

Number of T states consumed by the algorithm

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To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 1 CCZ and 0 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.

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Number of T factories4\r\n", - "

Number of T factories capable of producing the demanded 4 T states during the algorithm's runtime

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The total number of T factories 4 that are executed in parallel is computed as \\(\\left\\lceil\\dfrac{4\\;\\text{T states} \\cdot 36us 400ns\\;\\text{T factory duration}}{1\\;\\text{T states per T factory} \\cdot 46us 800ns\\;\\text{algorithm runtime}}\\right\\rceil\\)

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Number of T factory invocations1\r\n", - "

Number of times all T factories are invoked

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In order to prepare the 4 T states, the 4 copies of the T factory are repeatedly invoked 1 times.

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Physical algorithmic qubits2430\r\n", - "

Number of physical qubits for the algorithm after layout

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The 2430 are the product of the 15 logical qubits after layout and the 162 physical qubits that encode a single logical qubit.

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Physical T factory qubits15680\r\n", - "

Number of physical qubits for the T factories

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Each T factory requires 3920 physical qubits and we run 4 in parallel, therefore we need $15680 = 3920 \\cdot 4$ qubits.

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Required logical qubit error rate2.56e-6\r\n", - "

The minimum logical qubit error rate required to run the algorithm within the error budget

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The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 15 logical qubits and the total cycle count 13.

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Required logical T state error rate1.25e-4\r\n", - "

The minimum T state error rate required for distilled T states

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The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 4.

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Number of T states per rotationNo rotations in algorithm\r\n", - "

Number of T states to implement a rotation with an arbitrary angle

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The number of T states to implement a rotation with an arbitrary angle is \\(\\lceil 0.53 \\log_2(0 / 0) + 5.3\\rceil\\) [arXiv:2203.10064]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.

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QEC schemesurface_code\r\n", - "

Name of QEC scheme

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You can load pre-defined QEC schemes by using the name surface_code or floquet_code. The latter only works with Majorana qubits.

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Code distance9\r\n", - "

Required code distance for error correction

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The code distance is the smallest odd integer greater or equal to \\(\\dfrac{2\\log(0.03 / 0.000002564102564102564)}{\\log(0.01/0.001)} - 1\\)

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Physical qubits162\r\n", - "

Number of physical qubits per logical qubit

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The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.

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Logical cycle time3us 600ns\r\n", - "

Duration of a logical cycle in nanoseconds

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The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.

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Logical qubit error rate3.00e-7\r\n", - "

Logical qubit error rate

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The logical qubit error rate is computed as $0.03 \\cdot \\left(\\dfrac{0.001}{0.01}\\right)^\\frac{9 + 1}{2}$

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Crossing prefactor0.03\r\n", - "

Crossing prefactor used in QEC scheme

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The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.

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Error correction threshold0.01\r\n", - "

Error correction threshold used in QEC scheme

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The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.

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Logical cycle time formula(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance\r\n", - "

QEC scheme formula used to compute logical cycle time

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This is the formula that is used to compute the logical cycle time 3us 600ns.

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Physical qubits formula2 * codeDistance * codeDistance\r\n", - "

QEC scheme formula used to compute number of physical qubits per logical qubit

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This is the formula that is used to compute the number of physical qubits per logical qubits 162.

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Physical qubits3920\r\n", - "

Number of physical qubits for a single T factory

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This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.

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Runtime36us 400ns\r\n", - "

Runtime of a single T factory

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The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.

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Number of output T states per run1\r\n", - "

Number of output T states produced in a single run of T factory

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The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.13e-5.

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Number of input T states per run30\r\n", - "

Number of physical input T states consumed in a single run of a T factory

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This value includes the physical input T states of all copies of the distillation unit in the first round.

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Distillation rounds1\r\n", - "

The number of distillation rounds

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This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.

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Distillation units per round2\r\n", - "

The number of units in each round of distillation

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This is the number of copies for the distillation units per round.

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Distillation units15-to-1 space efficient logical\r\n", - "

The types of distillation units

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These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.

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Distillation code distances7\r\n", - "

The code distance in each round of distillation

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This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.

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Number of physical qubits per round3920\r\n", - "

The number of physical qubits used in each round of distillation

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The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.

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Runtime per round36us 400ns\r\n", - "

The runtime of each distillation round

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The runtime of the T factory is the sum of the runtimes in all rounds.

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Logical T state error rate2.13e-5\r\n", - "

Logical T state error rate

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This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 1.25e-4.

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Logical qubits (pre-layout)4\r\n", - "

Number of logical qubits in the input quantum program

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We determine 15 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.

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T gates0\r\n", - "

Number of T gates in the input quantum program

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This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.

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Rotation gates0\r\n", - "

Number of rotation gates in the input quantum program

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This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.

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Rotation depth0\r\n", - "

Depth of rotation gates in the input quantum program

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This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.

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CCZ gates1\r\n", - "

Number of CCZ-gates in the input quantum program

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This is the number of CCZ gates.

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CCiX gates0\r\n", - "

Number of CCiX-gates in the input quantum program

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This is the number of CCiX gates, which applies \\(-iX\\) controlled on two control qubits [1212.5069].

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Measurement operations0\r\n", - "

Number of single qubit measurements in the input quantum program

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This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.

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Total error budget1.00e-3\r\n", - "

Total error budget for the algorithm

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The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget \\(\\epsilon = \\epsilon_{\\log} + \\epsilon_{\\rm dis} + \\epsilon_{\\rm syn}\\) is uniformly distributed and applies to errors \\(\\epsilon_{\\log}\\) to implement logical qubits, an error budget \\(\\epsilon_{\\rm dis}\\) to produce T states through distillation, and an error budget \\(\\epsilon_{\\rm syn}\\) to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets \\(\\epsilon_{\\rm dis}\\) and \\(\\epsilon_{\\rm syn}\\) are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.

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Logical error probability5.00e-4\r\n", - "

Probability of at least one logical error

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This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.

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T distillation error probability5.00e-4\r\n", - "

Probability of at least one faulty T distillation

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This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.

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Rotation synthesis error probability0.00e0\r\n", - "

Probability of at least one failed rotation synthesis

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This is one third of the total error budget 1.00e-3.

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Qubit namequbit_gate_ns_e3\r\n", - "

Some descriptive name for the qubit model

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You can load pre-defined qubit parameters by using the names qubit_gate_ns_e3, qubit_gate_ns_e4, qubit_gate_us_e3, qubit_gate_us_e4, qubit_maj_ns_e4, or qubit_maj_ns_e6. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).

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Instruction setGateBased\r\n", - "

Underlying qubit technology (gate-based or Majorana)

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When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either gate-based or Majorana. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.

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Single-qubit measurement time100 ns\r\n", - "

Operation time for single-qubit measurement (t_meas) in ns

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This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.

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Single-qubit gate time50 ns\r\n", - "

Operation time for single-qubit gate (t_gate) in ns

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This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.

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Two-qubit gate time50 ns\r\n", - "

Operation time for two-qubit gate in ns

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This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.

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T gate time50 ns\r\n", - "

Operation time for a T gate

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This is the operation time in nanoseconds to execute a T gate.

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Single-qubit measurement error rate0.001\r\n", - "

Error rate for single-qubit measurement

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This is the probability in which a single-qubit measurement in the Pauli basis may fail.

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Single-qubit error rate0.001\r\n", - "

Error rate for single-qubit Clifford gate (p)

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This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.

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Two-qubit error rate0.001\r\n", - "

Error rate for two-qubit Clifford gate

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This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.

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T gate error rate0.001\r\n", - "

Error rate to prepare single-qubit T state or apply a T gate (p_T)

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This is the probability in which executing a single T gate may fail.

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\r\n", - " Assumptions\r\n", - "
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  • More details on the following lists of assumptions can be found in the paper Accessing requirements for scaling quantum computers and their applications.

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    • \r\n", - "

  • Uniform independent physical noise. We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.

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  • Efficient classical computation. We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.

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  • Extraction circuits for planar quantum ISA. We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).

    \n", - "
    • \r\n", - "

  • Uniform independent logical noise. We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.

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  • Negligible Clifford costs for synthesis. We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.

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  • Smooth magic state consumption rate. We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.

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\r\n" - ], - "text/plain": [ - "{'errorBudget': {'logical': 0.0005, 'rotations': 0.0, 'tstates': 0.0005},\n", - " 'jobParams': {'errorBudget': 0.001,\n", - " 'qecScheme': {'crossingPrefactor': 0.03,\n", - " 'errorCorrectionThreshold': 0.01,\n", - " 'logicalCycleTime': '(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance',\n", - " 'name': 'surface_code',\n", - " 'physicalQubitsPerLogicalQubit': '2 * codeDistance * codeDistance'},\n", - " 'qubitParams': {'instructionSet': 'GateBased',\n", - " 'name': 'qubit_gate_ns_e3',\n", - " 'oneQubitGateErrorRate': 0.001,\n", - " 'oneQubitGateTime': '50 ns',\n", - " 'oneQubitMeasurementErrorRate': 0.001,\n", - " 'oneQubitMeasurementTime': '100 ns',\n", - " 'tGateErrorRate': 0.001,\n", - " 'tGateTime': '50 ns',\n", - " 'twoQubitGateErrorRate': 0.001,\n", - " 'twoQubitGateTime': '50 ns'}},\n", - " 'logicalCounts': {'ccixCount': 0,\n", - " 'cczCount': 1,\n", - " 'measurementCount': 0,\n", - " 'numQubits': 4,\n", - " 'rotationCount': 0,\n", - " 'rotationDepth': 0,\n", - " 'tCount': 0},\n", - " 'logicalQubit': {'codeDistance': 9,\n", - " 'logicalCycleTime': 3600.0,\n", - " 'logicalErrorRate': 3.0000000000000015e-07,\n", - " 'physicalQubits': 162},\n", - " 'physicalCounts': {'breakdown': {'algorithmicLogicalDepth': 3,\n", - " 'algorithmicLogicalQubits': 15,\n", - " 'cliffordErrorRate': 0.001,\n", - " 'logicalDepth': 13,\n", - " 'numTfactories': 4,\n", - " 'numTfactoryRuns': 1,\n", - " 'numTsPerRotation': None,\n", - " 'numTstates': 4,\n", - " 'physicalQubitsForAlgorithm': 2430,\n", - " 'physicalQubitsForTfactories': 15680,\n", - " 'requiredLogicalQubitErrorRate': 2.564102564102564e-06,\n", - " 'requiredLogicalTstateErrorRate': 0.000125},\n", - " 'physicalQubits': 18110,\n", - " 'runtime': 46800},\n", - " 'physicalCountsFormatted': {'codeDistancePerRound': '7',\n", - " 'errorBudget': '1.00e-3',\n", - " 'errorBudgetLogical': '5.00e-4',\n", - " 'errorBudgetRotations': '0.00e0',\n", - " 'errorBudgetTstates': '5.00e-4',\n", - " 'logicalCycleTime': '3us 600ns',\n", - " 'logicalErrorRate': '3.00e-7',\n", - " 'numTsPerRotation': 'No rotations in algorithm',\n", - " 'numUnitsPerRound': '2',\n", - " 'physicalQubitsForTfactoriesPercentage': '86.58 %',\n", - " 'physicalQubitsPerRound': '3920',\n", - " 'requiredLogicalQubitErrorRate': '2.56e-6',\n", - " 'requiredLogicalTstateErrorRate': '1.25e-4',\n", - " 'runtime': '46us 800ns',\n", - " 'tfactoryRuntime': '36us 400ns',\n", - " 'tfactoryRuntimePerRound': '36us 400ns',\n", - " 'tstateLogicalErrorRate': '2.13e-5',\n", - " 'unitNamePerRound': '15-to-1 space efficient logical'},\n", - " 'reportData': {'assumptions': ['_More details on the following lists of assumptions can be found in the paper [Accessing requirements for scaling quantum computers and their applications](https://aka.ms/AQ/RE/Paper)._',\n", - " '**Uniform independent physical noise.** We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.',\n", - " '**Efficient classical computation.** We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.',\n", - " '**Extraction circuits for planar quantum ISA.** We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).',\n", - " '**Uniform independent logical noise.** We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.',\n", - " '**Negligible Clifford costs for synthesis.** We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.',\n", - " '**Smooth magic state consumption rate.** We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.'],\n", - " 'groups': [{'alwaysVisible': True,\n", - " 'entries': [{'description': 'Number of physical qubits',\n", - " 'explanation': 'This value represents the total number of physical qubits, which is the sum of 2430 physical qubits to implement the algorithm logic, and 15680 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.',\n", - " 'label': 'Physical qubits',\n", - " 'path': 'physicalCounts/physicalQubits'},\n", - " {'description': 'Total runtime',\n", - " 'explanation': 'This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (3us 600ns) multiplied by the 3 logical cycles to run the algorithm. If however the duration of a single T factory (here: 36us 400ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.',\n", - " 'label': 'Runtime',\n", - " 'path': 'physicalCountsFormatted/runtime'}],\n", - " 'title': 'Physical resource estimates'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Number of logical qubits for the algorithm after layout',\n", - " 'explanation': 'Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the $Q_{\\\\rm alg} = 4$ logical qubits in the input algorithm, we require in total $2 \\\\cdot Q_{\\\\rm alg} + \\\\lceil \\\\sqrt{8 \\\\cdot Q_{\\\\rm alg}}\\\\rceil + 1 = 15$ logical qubits.',\n", - " 'label': 'Logical algorithmic qubits',\n", - " 'path': 'physicalCounts/breakdown/algorithmicLogicalQubits'},\n", - " {'description': 'Number of logical cycles for the algorithm',\n", - " 'explanation': 'To execute the algorithm using _Parallel Synthesis Sequential Pauli Computation_ (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 0 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 1 CCZ and 0 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.',\n", - " 'label': 'Algorithmic depth',\n", - " 'path': 'physicalCounts/breakdown/algorithmicLogicalDepth'},\n", - " {'description': 'Number of logical cycles performed',\n", - " 'explanation': \"This number is usually equal to the logical depth of the algorithm, which is 3. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.\",\n", - " 'label': 'Logical depth',\n", - " 'path': 'physicalCounts/breakdown/logicalDepth'},\n", - " {'description': 'Number of T states consumed by the algorithm',\n", - " 'explanation': 'To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 1 CCZ and 0 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.',\n", - " 'label': 'Number of T states',\n", - " 'path': 'physicalCounts/breakdown/numTstates'},\n", - " {'description': \"Number of T factories capable of producing the demanded 4 T states during the algorithm's runtime\",\n", - " 'explanation': 'The total number of T factories 4 that are executed in parallel is computed as $\\\\left\\\\lceil\\\\dfrac{4\\\\;\\\\text{T states} \\\\cdot 36us 400ns\\\\;\\\\text{T factory duration}}{1\\\\;\\\\text{T states per T factory} \\\\cdot 46us 800ns\\\\;\\\\text{algorithm runtime}}\\\\right\\\\rceil$',\n", - " 'label': 'Number of T factories',\n", - " 'path': 'physicalCounts/breakdown/numTfactories'},\n", - " {'description': 'Number of times all T factories are invoked',\n", - " 'explanation': 'In order to prepare the 4 T states, the 4 copies of the T factory are repeatedly invoked 1 times.',\n", - " 'label': 'Number of T factory invocations',\n", - " 'path': 'physicalCounts/breakdown/numTfactoryRuns'},\n", - " {'description': 'Number of physical qubits for the algorithm after layout',\n", - " 'explanation': 'The 2430 are the product of the 15 logical qubits after layout and the 162 physical qubits that encode a single logical qubit.',\n", - " 'label': 'Physical algorithmic qubits',\n", - " 'path': 'physicalCounts/breakdown/physicalQubitsForAlgorithm'},\n", - " {'description': 'Number of physical qubits for the T factories',\n", - " 'explanation': 'Each T factory requires 3920 physical qubits and we run 4 in parallel, therefore we need $15680 = 3920 \\\\cdot 4$ qubits.',\n", - " 'label': 'Physical T factory qubits',\n", - " 'path': 'physicalCounts/breakdown/physicalQubitsForTfactories'},\n", - " {'description': 'The minimum logical qubit error rate required to run the algorithm within the error budget',\n", - " 'explanation': 'The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 15 logical qubits and the total cycle count 13.',\n", - " 'label': 'Required logical qubit error rate',\n", - " 'path': 'physicalCountsFormatted/requiredLogicalQubitErrorRate'},\n", - " {'description': 'The minimum T state error rate required for distilled T states',\n", - " 'explanation': 'The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 4.',\n", - " 'label': 'Required logical T state error rate',\n", - " 'path': 'physicalCountsFormatted/requiredLogicalTstateErrorRate'},\n", - " {'description': 'Number of T states to implement a rotation with an arbitrary angle',\n", - " 'explanation': 'The number of T states to implement a rotation with an arbitrary angle is $\\\\lceil 0.53 \\\\log_2(0 / 0) + 5.3\\\\rceil$ [[arXiv:2203.10064](https://arxiv.org/abs/2203.10064)]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.',\n", - " 'label': 'Number of T states per rotation',\n", - " 'path': 'physicalCountsFormatted/numTsPerRotation'}],\n", - " 'title': 'Resource estimates breakdown'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Name of QEC scheme',\n", - " 'explanation': 'You can load pre-defined QEC schemes by using the name `surface_code` or `floquet_code`. The latter only works with Majorana qubits.',\n", - " 'label': 'QEC scheme',\n", - " 'path': 'jobParams/qecScheme/name'},\n", - " {'description': 'Required code distance for error correction',\n", - " 'explanation': 'The code distance is the smallest odd integer greater or equal to $\\\\dfrac{2\\\\log(0.03 / 0.000002564102564102564)}{\\\\log(0.01/0.001)} - 1$',\n", - " 'label': 'Code distance',\n", - " 'path': 'logicalQubit/codeDistance'},\n", - " {'description': 'Number of physical qubits per logical qubit',\n", - " 'explanation': 'The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.',\n", - " 'label': 'Physical qubits',\n", - " 'path': 'logicalQubit/physicalQubits'},\n", - " {'description': 'Duration of a logical cycle in nanoseconds',\n", - " 'explanation': 'The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.',\n", - " 'label': 'Logical cycle time',\n", - " 'path': 'physicalCountsFormatted/logicalCycleTime'},\n", - " {'description': 'Logical qubit error rate',\n", - " 'explanation': 'The logical qubit error rate is computed as $0.03 \\\\cdot \\\\left(\\\\dfrac{0.001}{0.01}\\\\right)^\\\\frac{9 + 1}{2}$',\n", - " 'label': 'Logical qubit error rate',\n", - " 'path': 'physicalCountsFormatted/logicalErrorRate'},\n", - " {'description': 'Crossing prefactor used in QEC scheme',\n", - " 'explanation': 'The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.',\n", - " 'label': 'Crossing prefactor',\n", - " 'path': 'jobParams/qecScheme/crossingPrefactor'},\n", - " {'description': 'Error correction threshold used in QEC scheme',\n", - " 'explanation': 'The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.',\n", - " 'label': 'Error correction threshold',\n", - " 'path': 'jobParams/qecScheme/errorCorrectionThreshold'},\n", - " {'description': 'QEC scheme formula used to compute logical cycle time',\n", - " 'explanation': 'This is the formula that is used to compute the logical cycle time 3us 600ns.',\n", - " 'label': 'Logical cycle time formula',\n", - " 'path': 'jobParams/qecScheme/logicalCycleTime'},\n", - " {'description': 'QEC scheme formula used to compute number of physical qubits per logical qubit',\n", - " 'explanation': 'This is the formula that is used to compute the number of physical qubits per logical qubits 162.',\n", - " 'label': 'Physical qubits formula',\n", - " 'path': 'jobParams/qecScheme/physicalQubitsPerLogicalQubit'}],\n", - " 'title': 'Logical qubit parameters'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Number of physical qubits for a single T factory',\n", - " 'explanation': 'This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.',\n", - " 'label': 'Physical qubits',\n", - " 'path': 'tfactory/physicalQubits'},\n", - " {'description': 'Runtime of a single T factory',\n", - " 'explanation': 'The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.',\n", - " 'label': 'Runtime',\n", - " 'path': 'physicalCountsFormatted/tfactoryRuntime'},\n", - " {'description': 'Number of output T states produced in a single run of T factory',\n", - " 'explanation': 'The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.13e-5.',\n", - " 'label': 'Number of output T states per run',\n", - " 'path': 'tfactory/numTstates'},\n", - " {'description': 'Number of physical input T states consumed in a single run of a T factory',\n", - " 'explanation': 'This value includes the physical input T states of all copies of the distillation unit in the first round.',\n", - " 'label': 'Number of input T states per run',\n", - " 'path': 'tfactory/numInputTstates'},\n", - " {'description': 'The number of distillation rounds',\n", - " 'explanation': 'This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.',\n", - " 'label': 'Distillation rounds',\n", - " 'path': 'tfactory/numRounds'},\n", - " {'description': 'The number of units in each round of distillation',\n", - " 'explanation': 'This is the number of copies for the distillation units per round.',\n", - " 'label': 'Distillation units per round',\n", - " 'path': 'physicalCountsFormatted/numUnitsPerRound'},\n", - " {'description': 'The types of distillation units',\n", - " 'explanation': 'These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.',\n", - " 'label': 'Distillation units',\n", - " 'path': 'physicalCountsFormatted/unitNamePerRound'},\n", - " {'description': 'The code distance in each round of distillation',\n", - " 'explanation': 'This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.',\n", - " 'label': 'Distillation code distances',\n", - " 'path': 'physicalCountsFormatted/codeDistancePerRound'},\n", - " {'description': 'The number of physical qubits used in each round of distillation',\n", - " 'explanation': 'The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.',\n", - " 'label': 'Number of physical qubits per round',\n", - " 'path': 'physicalCountsFormatted/physicalQubitsPerRound'},\n", - " {'description': 'The runtime of each distillation round',\n", - " 'explanation': 'The runtime of the T factory is the sum of the runtimes in all rounds.',\n", - " 'label': 'Runtime per round',\n", - " 'path': 'physicalCountsFormatted/tfactoryRuntimePerRound'},\n", - " {'description': 'Logical T state error rate',\n", - " 'explanation': 'This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 1.25e-4.',\n", - " 'label': 'Logical T state error rate',\n", - " 'path': 'physicalCountsFormatted/tstateLogicalErrorRate'}],\n", - " 'title': 'T factory parameters'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Number of logical qubits in the input quantum program',\n", - " 'explanation': 'We determine 15 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.',\n", - " 'label': 'Logical qubits (pre-layout)',\n", - " 'path': 'logicalCounts/numQubits'},\n", - " {'description': 'Number of T gates in the input quantum program',\n", - " 'explanation': 'This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.',\n", - " 'label': 'T gates',\n", - " 'path': 'logicalCounts/tCount'},\n", - " {'description': 'Number of rotation gates in the input quantum program',\n", - " 'explanation': 'This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.',\n", - " 'label': 'Rotation gates',\n", - " 'path': 'logicalCounts/rotationCount'},\n", - " {'description': 'Depth of rotation gates in the input quantum program',\n", - " 'explanation': 'This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.',\n", - " 'label': 'Rotation depth',\n", - " 'path': 'logicalCounts/rotationDepth'},\n", - " {'description': 'Number of CCZ-gates in the input quantum program',\n", - " 'explanation': 'This is the number of CCZ gates.',\n", - " 'label': 'CCZ gates',\n", - " 'path': 'logicalCounts/cczCount'},\n", - " {'description': 'Number of CCiX-gates in the input quantum program',\n", - " 'explanation': 'This is the number of CCiX gates, which applies $-iX$ controlled on two control qubits [[1212.5069](https://arxiv.org/abs/1212.5069)].',\n", - " 'label': 'CCiX gates',\n", - " 'path': 'logicalCounts/ccixCount'},\n", - " {'description': 'Number of single qubit measurements in the input quantum program',\n", - " 'explanation': 'This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.',\n", - " 'label': 'Measurement operations',\n", - " 'path': 'logicalCounts/measurementCount'}],\n", - " 'title': 'Pre-layout logical resources'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Total error budget for the algorithm',\n", - " 'explanation': \"The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget $\\\\epsilon = \\\\epsilon_{\\\\log} + \\\\epsilon_{\\\\rm dis} + \\\\epsilon_{\\\\rm syn}$ is uniformly distributed and applies to errors $\\\\epsilon_{\\\\log}$ to implement logical qubits, an error budget $\\\\epsilon_{\\\\rm dis}$ to produce T states through distillation, and an error budget $\\\\epsilon_{\\\\rm syn}$ to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets $\\\\epsilon_{\\\\rm dis}$ and $\\\\epsilon_{\\\\rm syn}$ are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.\",\n", - " 'label': 'Total error budget',\n", - " 'path': 'physicalCountsFormatted/errorBudget'},\n", - " {'description': 'Probability of at least one logical error',\n", - " 'explanation': 'This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.',\n", - " 'label': 'Logical error probability',\n", - " 'path': 'physicalCountsFormatted/errorBudgetLogical'},\n", - " {'description': 'Probability of at least one faulty T distillation',\n", - " 'explanation': 'This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.',\n", - " 'label': 'T distillation error probability',\n", - " 'path': 'physicalCountsFormatted/errorBudgetTstates'},\n", - " {'description': 'Probability of at least one failed rotation synthesis',\n", - " 'explanation': 'This is one third of the total error budget 1.00e-3.',\n", - " 'label': 'Rotation synthesis error probability',\n", - " 'path': 'physicalCountsFormatted/errorBudgetRotations'}],\n", - " 'title': 'Assumed error budget'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Some descriptive name for the qubit model',\n", - " 'explanation': 'You can load pre-defined qubit parameters by using the names `qubit_gate_ns_e3`, `qubit_gate_ns_e4`, `qubit_gate_us_e3`, `qubit_gate_us_e4`, `qubit_maj_ns_e4`, or `qubit_maj_ns_e6`. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).',\n", - " 'label': 'Qubit name',\n", - " 'path': 'jobParams/qubitParams/name'},\n", - " {'description': 'Underlying qubit technology (gate-based or Majorana)',\n", - " 'explanation': 'When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either *gate-based* or *Majorana*. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.',\n", - " 'label': 'Instruction set',\n", - " 'path': 'jobParams/qubitParams/instructionSet'},\n", - " {'description': 'Operation time for single-qubit measurement (t_meas) in ns',\n", - " 'explanation': 'This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.',\n", - " 'label': 'Single-qubit measurement time',\n", - " 'path': 'jobParams/qubitParams/oneQubitMeasurementTime'},\n", - " {'description': 'Operation time for single-qubit gate (t_gate) in ns',\n", - " 'explanation': 'This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.',\n", - " 'label': 'Single-qubit gate time',\n", - " 'path': 'jobParams/qubitParams/oneQubitGateTime'},\n", - " {'description': 'Operation time for two-qubit gate in ns',\n", - " 'explanation': 'This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.',\n", - " 'label': 'Two-qubit gate time',\n", - " 'path': 'jobParams/qubitParams/twoQubitGateTime'},\n", - " {'description': 'Operation time for a T gate',\n", - " 'explanation': 'This is the operation time in nanoseconds to execute a T gate.',\n", - " 'label': 'T gate time',\n", - " 'path': 'jobParams/qubitParams/tGateTime'},\n", - " {'description': 'Error rate for single-qubit measurement',\n", - " 'explanation': 'This is the probability in which a single-qubit measurement in the Pauli basis may fail.',\n", - " 'label': 'Single-qubit measurement error rate',\n", - " 'path': 'jobParams/qubitParams/oneQubitMeasurementErrorRate'},\n", - " {'description': 'Error rate for single-qubit Clifford gate (p)',\n", - " 'explanation': 'This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.',\n", - " 'label': 'Single-qubit error rate',\n", - " 'path': 'jobParams/qubitParams/oneQubitGateErrorRate'},\n", - " {'description': 'Error rate for two-qubit Clifford gate',\n", - " 'explanation': 'This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.',\n", - " 'label': 'Two-qubit error rate',\n", - " 'path': 'jobParams/qubitParams/twoQubitGateErrorRate'},\n", - " {'description': 'Error rate to prepare single-qubit T state or apply a T gate (p_T)',\n", - " 'explanation': 'This is the probability in which executing a single T gate may fail.',\n", - " 'label': 'T gate error rate',\n", - " 'path': 'jobParams/qubitParams/tGateErrorRate'}],\n", - " 'title': 'Physical qubit parameters'}]},\n", - " 'status': 'success',\n", - " 'tfactory': {'codeDistancePerRound': [7],\n", - " 'logicalErrorRate': 2.133500000000001e-05,\n", - " 'numInputTstates': 30,\n", - " 'numRounds': 1,\n", - " 'numTstates': 1,\n", - " 'numUnitsPerRound': [2],\n", - " 'physicalQubits': 3920,\n", - " 'physicalQubitsPerRound': [3920],\n", - " 'runtime': 36400.0,\n", - " 'runtimePerRound': [36400.0],\n", - " 'unitNamePerRound': ['15-to-1 space efficient logical']}}" - ] - }, - "execution_count": 63, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# If you need to pull up the results of an old job, use its job ID with qsharp.azure.output command\n", "# result = qsharp.azure.output(\"...\")\n", @@ -1978,7 +357,7 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -2004,7 +383,7 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -2016,27 +395,7 @@ } } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Logical algorithmic qubits = 15\n", - "Algorithmic depth = 3\n", - "Score = 45\n" - ] - }, - { - "data": { - "text/plain": [ - "45" - ] - }, - "execution_count": 65, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "evaluate_results(result)" ] From 5bca39e50e54b81f7bce1a4b2922d8666efbf010 Mon Sep 17 00:00:00 2001 From: Michael Papadopoulos Date: Sat, 28 Jan 2023 15:19:23 -0500 Subject: [PATCH 04/13] Task 2 Improvement --- iQuHack-challenge-2023-task2.ipynb | 28 ++++++---------------------- obj/__entrypoint__.dll | Bin 216576 -> 321536 bytes obj/__entrypoint__snippets__.dll | Bin 54784 -> 74240 bytes obj/__snippets__.dll | Bin 54272 -> 73728 bytes 4 files changed, 6 insertions(+), 22 deletions(-) diff --git a/iQuHack-challenge-2023-task2.ipynb b/iQuHack-challenge-2023-task2.ipynb index 44cc5cd..5bdc2a8 100644 --- a/iQuHack-challenge-2023-task2.ipynb +++ b/iQuHack-challenge-2023-task2.ipynb @@ -36,7 +36,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -69,7 +68,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -91,7 +89,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -104,16 +101,15 @@ }, "outputs": [], "source": [ - "teamname=\"msft_is_the_best\" # Update this field with your team name\n", + "teamname=\"Quantum Wranglers\" # Update this field with your team name\n", "task=[\"task2\"]\n", - "slack_id=\"myslackid\" # Update this field with Slack ID of the person who worked on this task as the troubleshooting contact" + "slack_id=\"U04JVDTAG4E\" # Update this field with Slack ID of the person who worked on this task as the troubleshooting contact" ] }, { "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -150,7 +146,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -174,10 +169,7 @@ "// (input will contain 5 qubits)\n", "operation Task2(input : Qubit[], target : Qubit) : Unit is Adj {\n", " ControlledOnInt(13, X)(input, target); // M\n", - " ControlledOnInt( 9, X)(input, target); // I\n", " ControlledOnInt(20, X)(input, target); // T\n", - "\n", - " ControlledOnInt( 9, X)(input, target); // I\n", " ControlledOnInt(17, X)(input, target); // Q\n", " ControlledOnInt(21, X)(input, target); // U\n", " ControlledOnInt( 8, X)(input, target); // H\n", @@ -191,7 +183,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -248,7 +239,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -286,7 +276,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -302,8 +291,8 @@ "# If you're using this notebook in Azure Quantum hosted notebooks, remove the credential=\"CLI\" parameter!\n", "# If you're using this notebook in qBraid, keep it\n", "qsharp.azure.connect(\n", - " resourceId=\"...\",\n", - " location=\"...\",\n", + " resourceId=\"/subscriptions/6d61051a-6e40-4845-a03a-3c5160bb5629/resourceGroups/AzureQuantum/providers/Microsoft.Quantum/Workspaces/iQuHack-Workspace-micpap25\",\n", + " location=\"East US\",\n", " credential=\"CLI\")" ] }, @@ -311,7 +300,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -331,7 +319,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -352,7 +339,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -374,7 +360,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -401,7 +386,6 @@ "cell_type": "code", "execution_count": null, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -423,7 +407,7 @@ "name": "python3" }, "kernelspec": { - "display_name": "Python 3 [Default]", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -437,7 +421,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.10" + "version": "3.10.9" }, "nteract": { "version": "nteract-front-end@1.0.0" diff --git a/obj/__entrypoint__.dll b/obj/__entrypoint__.dll index 0a8590933de774890a8c2804c93d809e44e4dd38..fd4a54b3a7daf5e98a6fc4b0dcc77f02a0bf57ee 100644 GIT binary patch literal 321536 zcmeEP31C#!)jsbfnM{TRl1T^z5QeZANr+@&3H!b%2q8g4LX$}{fx#pbW)cJ=78G2n 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z73VJh^I75f)YA7}*u~qIqfXbqvB6TaI8#$jB&lbs*`F(6(b2zMKD!iBvj`Lab1?=t9C)!Yb@HJ3u}t!zAm&$bo!cE&FY!{ zPojjkbH6(*mUeYnu~^C)+dB&|%Rv0D4m&=HezzU7=?BNd^;UmD0=oT2;xOA^pMWR) zPbHy^wU!zE Date: Sat, 28 Jan 2023 15:59:54 -0500 Subject: [PATCH 05/13] TASK 2 REALLY GOOD --- iQuHack-challenge-2023-task2.ipynb | 2996 +++++++++++++++++++++++++++- obj/__entrypoint__.dll | Bin 321536 -> 322048 bytes obj/__entrypoint__snippets__.dll | Bin 74240 -> 86528 bytes obj/__snippets__.dll | Bin 73728 -> 86528 bytes 4 files changed, 2970 insertions(+), 26 deletions(-) diff --git a/iQuHack-challenge-2023-task2.ipynb b/iQuHack-challenge-2023-task2.ipynb index 5bdc2a8..78fbcd2 100644 --- a/iQuHack-challenge-2023-task2.ipynb +++ b/iQuHack-challenge-2023-task2.ipynb @@ -34,7 +34,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": { "jupyter": { "outputs_hidden": false, @@ -46,7 +46,47 @@ } } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[\n", + " {\n", + " \"cloudName\": \"AzureCloud\",\n", + " \"homeTenantId\": \"aaf653e1-0bcd-4c2c-8658-12eb03e15774\",\n", + " \"id\": \"6d61051a-6e40-4845-a03a-3c5160bb5629\",\n", + " \"isDefault\": true,\n", + " \"managedByTenants\": [\n", + " {\n", + " \"tenantId\": \"d0ecd01b-d782-448e-bae0-c3cad0e0543a\"\n", + " },\n", + " {\n", + " \"tenantId\": \"94c4857e-1130-4ab8-8eac-069b40c9db20\"\n", + " },\n", + " {\n", + " \"tenantId\": \"f702a9dc-ae48-4dc7-8f0a-8155a6dfa4e5\"\n", + " }\n", + " ],\n", + " \"name\": \"Azure for Students\",\n", + " \"state\": \"Enabled\",\n", + " \"tenantId\": \"aaf653e1-0bcd-4c2c-8658-12eb03e15774\",\n", + " \"user\": {\n", + " \"name\": \"papadm2@rpi.edu\",\n", + " \"type\": \"user\"\n", + " }\n", + " }\n", + "]\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING: A web browser has been opened at https://login.microsoftonline.com/organizations/oauth2/v2.0/authorize. Please continue the login in the web browser. If no web browser is available or if the web browser fails to open, use device code flow with `az login --use-device-code`.\n" + ] + } + ], "source": [ "!az login" ] @@ -66,7 +106,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": { "jupyter": { "outputs_hidden": false, @@ -87,7 +127,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": { "jupyter": { "outputs_hidden": false, @@ -108,7 +148,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": { "jupyter": { "outputs_hidden": false, @@ -144,7 +184,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": { "jupyter": { "outputs_hidden": false, @@ -168,20 +208,48 @@ "// Task 2. Celebrate MIT iQuHack!\n", "// (input will contain 5 qubits)\n", "operation Task2(input : Qubit[], target : Qubit) : Unit is Adj {\n", + " // Necessary\n", + " \n", " ControlledOnInt(13, X)(input, target); // M\n", - " ControlledOnInt(20, X)(input, target); // T\n", - " ControlledOnInt(17, X)(input, target); // Q\n", - " ControlledOnInt(21, X)(input, target); // U\n", " ControlledOnInt( 8, X)(input, target); // H\n", - " ControlledOnInt( 1, X)(input, target); // A\n", - " ControlledOnInt( 3, X)(input, target); // C\n", - " ControlledOnInt(11, X)(input, target); // K\n", + " \n", + " // Can be simplified (pairs)\n", + " \n", + " //ControlledOnInt(20, X)(input, target); // T\n", + " //ControlledOnInt(21, X)(input, target); // U\n", + " \n", + " X(input[1]);\n", + " X(input[3]);\n", + " Controlled X([input[1], input[2], input[3], input[4]], target);\n", + " X(input[1]);\n", + " X(input[3]);\n", + " \n", + " \n", + " //ControlledOnInt(17, X)(input, target); // Q\n", + " //ControlledOnInt( 1, X)(input, target); // A\n", + " \n", + " X(input[1]);\n", + " X(input[2]);\n", + " X(input[3]);\n", + " Controlled X([input[0], input[1], input[2], input[3]], target);\n", + " X(input[1]);\n", + " X(input[2]);\n", + " X(input[3]);\n", + " \n", + " //ControlledOnInt( 3, X)(input, target); // C\n", + " //ControlledOnInt(11, X)(input, target); // K\n", + " \n", + " X(input[2]);\n", + " X(input[4]);\n", + " Controlled X([input[0], input[1], input[2], input[4]], target);\n", + " X(input[2]);\n", + " X(input[4]);\n", "}" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": { "jupyter": { "outputs_hidden": false, @@ -237,7 +305,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": { "jupyter": { "outputs_hidden": false, @@ -249,7 +317,1710 @@ } } }, - "outputs": [], + "outputs": [ + { + "data": { + "application/x-qsharp-data": 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\r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "
Qubit IDs0, 1, 2, 3, 4, 5
Basis state (bitstring)AmplitudeMeas. Pr.
$\\left|000000\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|000001\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|000010\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|000011\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|000100\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|000101\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|000110\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|000111\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|001000\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|001001\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|001010\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|001011\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|001100\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|001101\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|001110\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|001111\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|010000\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|010001\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|010010\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|010011\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|010100\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|010101\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|010110\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|010111\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|011000\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|011001\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|011010\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|011011\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|011100\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|011101\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|011110\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|011111\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|100000\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|100001\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|100010\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|100011\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|100100\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|100101\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|100110\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|100111\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|101000\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|101001\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|101010\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|101011\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|101100\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|101101\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|101110\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|101111\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|110000\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|110001\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|110010\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|110011\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|110100\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|110101\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|110110\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|110111\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|111000\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|111001\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|111010\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|111011\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|111100\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|111101\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|111110\\right\\rangle$$0.1768 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
$\\left|111111\\right\\rangle$$0.0000 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

\r\n", + "

\r\n", + "
" + ], + "text/plain": [ + "|000000⟩\t0.17677669529663698 + 0𝑖\n", + "|000001⟩\t0 + 0𝑖\n", + "|000010⟩\t0.17677669529663698 + 0𝑖\n", + "|000011⟩\t0 + 0𝑖\n", + "|000100⟩\t0 + 0𝑖\n", + "|000101⟩\t0.17677669529663698 + 0𝑖\n", + "|000110⟩\t0.17677669529663698 + 0𝑖\n", + "|000111⟩\t0 + 0𝑖\n", + "|001000⟩\t0.17677669529663698 + 0𝑖\n", + "|001001⟩\t0 + 0𝑖\n", + "|001010⟩\t0 + 0𝑖\n", + "|001011⟩\t0.17677669529663698 + 0𝑖\n", + "|001100⟩\t0.17677669529663698 + 0𝑖\n", + "|001101⟩\t0 + 0𝑖\n", + "|001110⟩\t0.17677669529663698 + 0𝑖\n", + "|001111⟩\t0 + 0𝑖\n", + "|010000⟩\t0.17677669529663698 + 0𝑖\n", + "|010001⟩\t0 + 0𝑖\n", + "|010010⟩\t0.17677669529663698 + 0𝑖\n", + "|010011⟩\t0 + 0𝑖\n", + "|010100⟩\t0.17677669529663698 + 0𝑖\n", + "|010101⟩\t0 + 0𝑖\n", + "|010110⟩\t0.17677669529663698 + 0𝑖\n", + "|010111⟩\t0 + 0𝑖\n", + "|011000⟩\t0.17677669529663698 + 0𝑖\n", + "|011001⟩\t0 + 0𝑖\n", + "|011010⟩\t0.17677669529663698 + 0𝑖\n", + "|011011⟩\t0 + 0𝑖\n", + "|011100⟩\t0.17677669529663698 + 0𝑖\n", + "|011101⟩\t0 + 0𝑖\n", + "|011110⟩\t0.17677669529663698 + 0𝑖\n", + "|011111⟩\t0 + 0𝑖\n", + "|100000⟩\t0 + 0𝑖\n", + "|100001⟩\t0.17677669529663698 + 0𝑖\n", + "|100010⟩\t0 + 0𝑖\n", + "|100011⟩\t0.17677669529663698 + 0𝑖\n", + "|100100⟩\t0.17677669529663698 + 0𝑖\n", + "|100101⟩\t0 + 0𝑖\n", + "|100110⟩\t0.17677669529663698 + 0𝑖\n", + "|100111⟩\t0 + 0𝑖\n", + "|101000⟩\t0.17677669529663698 + 0𝑖\n", + "|101001⟩\t0 + 0𝑖\n", + "|101010⟩\t0 + 0𝑖\n", + "|101011⟩\t0.17677669529663698 + 0𝑖\n", + "|101100⟩\t0 + 0𝑖\n", + "|101101⟩\t0.17677669529663698 + 0𝑖\n", + "|101110⟩\t0.17677669529663698 + 0𝑖\n", + "|101111⟩\t0 + 0𝑖\n", + "|110000⟩\t0 + 0𝑖\n", + "|110001⟩\t0.17677669529663698 + 0𝑖\n", + "|110010⟩\t0.17677669529663698 + 0𝑖\n", + "|110011⟩\t0 + 0𝑖\n", + "|110100⟩\t0 + 0𝑖\n", + "|110101⟩\t0.17677669529663698 + 0𝑖\n", + "|110110⟩\t0.17677669529663698 + 0𝑖\n", + "|110111⟩\t0 + 0𝑖\n", + "|111000⟩\t0.17677669529663698 + 0𝑖\n", + "|111001⟩\t0 + 0𝑖\n", + "|111010⟩\t0.17677669529663698 + 0𝑖\n", + "|111011⟩\t0 + 0𝑖\n", + "|111100⟩\t0.17677669529663698 + 0𝑖\n", + "|111101⟩\t0 + 0𝑖\n", + "|111110⟩\t0.17677669529663698 + 0𝑖\n", + "|111111⟩\t0 + 0𝑖" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "()" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# Note that in the output of this cell the target qubit corresponds to the rightmost bit\n", "qsharp.config[\"dump.basisStateLabelingConvention\"]=\"Bitstring\"\n", @@ -274,7 +2045,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": { "jupyter": { "outputs_hidden": false, @@ -286,7 +2057,56 @@ } } }, - "outputs": [], + "outputs": [ + { + "data": { + "application/x-qsharp-data": "\"Connecting to Azure Quantum...\"", + "text/plain": [ + "Connecting to Azure Quantum..." + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Connected to Azure Quantum workspace iQuHack-Workspace-micpap25 in location eastus.\r\n" + ] + }, + { + "data": { + "text/plain": [ + "[{'id': 'ionq.qpu', 'current_availability': {}, 'average_queue_time': 270512},\n", + " {'id': 'ionq.qpu.aria-1', 'current_availability': {}, 'average_queue_time': 403929},\n", + " {'id': 'ionq.simulator', 'current_availability': {}, 'average_queue_time': 2},\n", + " {'id': 'microsoft.estimator', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.hqs-lt-s1', 'current_availability': {}, 'average_queue_time': 257411},\n", + " {'id': 'quantinuum.hqs-lt-s1-apival', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.hqs-lt-s2', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.hqs-lt-s2-apival', 'current_availability': {}, 'average_queue_time': 1},\n", + " {'id': 'quantinuum.hqs-lt-s1-sim', 'current_availability': {}, 'average_queue_time': 4298},\n", + " {'id': 'quantinuum.hqs-lt-s2-sim', 'current_availability': {}, 'average_queue_time': 138},\n", + " {'id': 'quantinuum.hqs-lt', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.qpu.h1-1', 'current_availability': {}, 'average_queue_time': 257411},\n", + " {'id': 'quantinuum.sim.h1-1sc', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.qpu.h1-2', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.sim.h1-2sc', 'current_availability': {}, 'average_queue_time': 1},\n", + " {'id': 'quantinuum.sim.h1-1e', 'current_availability': {}, 'average_queue_time': 4298},\n", + " {'id': 'quantinuum.sim.h1-2e', 'current_availability': {}, 'average_queue_time': 138},\n", + " {'id': 'quantinuum.qpu.h1', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'rigetti.sim.qvm', 'current_availability': {}, 'average_queue_time': 5},\n", + " {'id': 'rigetti.qpu.aspen-11', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'rigetti.qpu.aspen-m-2', 'current_availability': {}, 'average_queue_time': 5},\n", + " {'id': 'rigetti.qpu.aspen-m-3', 'current_availability': {}, 'average_queue_time': 5}]" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# If you're using this notebook in Azure Quantum hosted notebooks, remove the credential=\"CLI\" parameter!\n", "# If you're using this notebook in qBraid, keep it\n", @@ -298,7 +2118,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": { "jupyter": { "outputs_hidden": false, @@ -310,14 +2130,33 @@ } } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Loading package Microsoft.Quantum.Providers.Core and dependencies...\n", + "Active target is now microsoft.estimator\n" + ] + }, + { + "data": { + "text/plain": [ + "{'id': 'microsoft.estimator', 'current_availability': {}, 'average_queue_time': 0}" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "qsharp.azure.target(\"microsoft.estimator\")" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": { "jupyter": { "outputs_hidden": false, @@ -329,7 +2168,21 @@ } } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Submitting Task2_ResourceEstimationWrapper to target microsoft.estimator...\n", + "Job successfully submitted.\n", + " Job name: RE for the task 2\n", + " Job ID: fca65cf0-cdf4-4d26-bf0c-bd7a85c5ed0c\n", + "Waiting up to 30 seconds for Azure Quantum job to complete...\n", + "[3:58:05 PM] Current job status: Executing\n", + "[3:58:10 PM] Current job status: Succeeded\n" + ] + } + ], "source": [ "# Update job name to a more descriptive string to make it easier to find it in Job Management tab later\n", "result = qsharp.azure.execute(Task2_ResourceEstimationWrapper, jobName=\"RE for the task 2\")" @@ -337,7 +2190,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": { "jupyter": { "outputs_hidden": false, @@ -349,7 +2202,1051 @@ } } }, - "outputs": [], + "outputs": [ + { + "data": { + "application/x-qsharp-data": "{\"errorBudget\":{\"logical\":0.0005,\"rotations\":0.0,\"tstates\":0.0005},\"jobParams\":{\"errorBudget\":0.001,\"qecScheme\":{\"crossingPrefactor\":0.03,\"errorCorrectionThreshold\":0.01,\"logicalCycleTime\":\"(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance\",\"name\":\"surface_code\",\"physicalQubitsPerLogicalQubit\":\"2 * codeDistance * codeDistance\"},\"qubitParams\":{\"instructionSet\":\"GateBased\",\"name\":\"qubit_gate_ns_e3\",\"oneQubitGateErrorRate\":0.001,\"oneQubitGateTime\":\"50 ns\",\"oneQubitMeasurementErrorRate\":0.001,\"oneQubitMeasurementTime\":\"100 ns\",\"tGateErrorRate\":0.001,\"tGateTime\":\"50 ns\",\"twoQubitGateErrorRate\":0.001,\"twoQubitGateTime\":\"50 ns\"}},\"logicalCounts\":{\"ccixCount\":12,\"cczCount\":5,\"measurementCount\":12,\"numQubits\":9,\"rotationCount\":0,\"rotationDepth\":0,\"tCount\":0},\"logicalQubit\":{\"codeDistance\":11,\"logicalCycleTime\":4400.0,\"logicalErrorRate\":3.000000000000002E-08,\"physicalQubits\":242},\"physicalCounts\":{\"breakdown\":{\"algorithmicLogicalDepth\":63,\"algorithmicLogicalQubits\":28,\"cliffordErrorRate\":0.001,\"logicalDepth\":63,\"numTfactories\":12,\"numTfactoryRuns\":6,\"numTsPerRotation\":null,\"numTstates\":68,\"physicalQubitsForAlgorithm\":6776,\"physicalQubitsForTfactories\":77760,\"requiredLogicalQubitErrorRate\":2.834467120181406E-07,\"requiredLogicalTstateErrorRate\":7.3529411764705884E-06},\"physicalQubits\":84536,\"runtime\":277200},\"physicalCountsFormatted\":{\"codeDistancePerRound\":\"9\",\"errorBudget\":\"1.00e-3\",\"errorBudgetLogical\":\"5.00e-4\",\"errorBudgetRotations\":\"0.00e0\",\"errorBudgetTstates\":\"5.00e-4\",\"logicalCycleTime\":\"4us 400ns\",\"logicalErrorRate\":\"3.00e-8\",\"numTsPerRotation\":\"No rotations in algorithm\",\"numUnitsPerRound\":\"2\",\"physicalQubitsForTfactoriesPercentage\":\"91.98 %\",\"physicalQubitsPerRound\":\"6480\",\"requiredLogicalQubitErrorRate\":\"2.83e-7\",\"requiredLogicalTstateErrorRate\":\"7.35e-6\",\"runtime\":\"277us 200ns\",\"tfactoryRuntime\":\"46us 800ns\",\"tfactoryRuntimePerRound\":\"46us 800ns\",\"tstateLogicalErrorRate\":\"2.17e-6\",\"unitNamePerRound\":\"15-to-1 space efficient logical\"},\"reportData\":{\"assumptions\":[\"_More details on the following lists of assumptions can be found in the paper [Accessing requirements for scaling quantum computers and their applications](https://aka.ms/AQ/RE/Paper)._\",\"**Uniform independent physical noise.** We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.\",\"**Efficient classical computation.** We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.\",\"**Extraction circuits for planar quantum ISA.** We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).\",\"**Uniform independent logical noise.** We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.\",\"**Negligible Clifford costs for synthesis.** We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.\",\"**Smooth magic state consumption rate.** We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.\"],\"groups\":[{\"alwaysVisible\":true,\"entries\":[{\"description\":\"Number of physical qubits\",\"explanation\":\"This value represents the total number of physical qubits, which is the sum of 6776 physical qubits to implement the algorithm logic, and 77760 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.\",\"label\":\"Physical qubits\",\"path\":\"physicalCounts/physicalQubits\"},{\"description\":\"Total runtime\",\"explanation\":\"This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (4us 400ns) multiplied by the 63 logical cycles to run the algorithm. If however the duration of a single T factory (here: 46us 800ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.\",\"label\":\"Runtime\",\"path\":\"physicalCountsFormatted/runtime\"}],\"title\":\"Physical resource estimates\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of logical qubits for the algorithm after layout\",\"explanation\":\"Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the $Q_{\\\\rm alg} = 9$ logical qubits in the input algorithm, we require in total $2 \\\\cdot Q_{\\\\rm alg} + \\\\lceil \\\\sqrt{8 \\\\cdot Q_{\\\\rm alg}}\\\\rceil + 1 = 28$ logical qubits.\",\"label\":\"Logical algorithmic qubits\",\"path\":\"physicalCounts/breakdown/algorithmicLogicalQubits\"},{\"description\":\"Number of logical cycles for the algorithm\",\"explanation\":\"To execute the algorithm using _Parallel Synthesis Sequential Pauli Computation_ (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 12 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 5 CCZ and 12 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.\",\"label\":\"Algorithmic depth\",\"path\":\"physicalCounts/breakdown/algorithmicLogicalDepth\"},{\"description\":\"Number of logical cycles performed\",\"explanation\":\"This number is usually equal to the logical depth of the algorithm, which is 63. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.\",\"label\":\"Logical depth\",\"path\":\"physicalCounts/breakdown/logicalDepth\"},{\"description\":\"Number of T states consumed by the algorithm\",\"explanation\":\"To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 5 CCZ and 12 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.\",\"label\":\"Number of T states\",\"path\":\"physicalCounts/breakdown/numTstates\"},{\"description\":\"Number of T factories capable of producing the demanded 68 T states during the algorithm's runtime\",\"explanation\":\"The total number of T factories 12 that are executed in parallel is computed as $\\\\left\\\\lceil\\\\dfrac{68\\\\;\\\\text{T states} \\\\cdot 46us 800ns\\\\;\\\\text{T factory duration}}{1\\\\;\\\\text{T states per T factory} \\\\cdot 277us 200ns\\\\;\\\\text{algorithm runtime}}\\\\right\\\\rceil$\",\"label\":\"Number of T factories\",\"path\":\"physicalCounts/breakdown/numTfactories\"},{\"description\":\"Number of times all T factories are invoked\",\"explanation\":\"In order to prepare the 68 T states, the 12 copies of the T factory are repeatedly invoked 6 times.\",\"label\":\"Number of T factory invocations\",\"path\":\"physicalCounts/breakdown/numTfactoryRuns\"},{\"description\":\"Number of physical qubits for the algorithm after layout\",\"explanation\":\"The 6776 are the product of the 28 logical qubits after layout and the 242 physical qubits that encode a single logical qubit.\",\"label\":\"Physical algorithmic qubits\",\"path\":\"physicalCounts/breakdown/physicalQubitsForAlgorithm\"},{\"description\":\"Number of physical qubits for the T factories\",\"explanation\":\"Each T factory requires 6480 physical qubits and we run 12 in parallel, therefore we need $77760 = 6480 \\\\cdot 12$ qubits.\",\"label\":\"Physical T factory qubits\",\"path\":\"physicalCounts/breakdown/physicalQubitsForTfactories\"},{\"description\":\"The minimum logical qubit error rate required to run the algorithm within the error budget\",\"explanation\":\"The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 28 logical qubits and the total cycle count 63.\",\"label\":\"Required logical qubit error rate\",\"path\":\"physicalCountsFormatted/requiredLogicalQubitErrorRate\"},{\"description\":\"The minimum T state error rate required for distilled T states\",\"explanation\":\"The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 68.\",\"label\":\"Required logical T state error rate\",\"path\":\"physicalCountsFormatted/requiredLogicalTstateErrorRate\"},{\"description\":\"Number of T states to implement a rotation with an arbitrary angle\",\"explanation\":\"The number of T states to implement a rotation with an arbitrary angle is $\\\\lceil 0.53 \\\\log_2(0 / 0) + 5.3\\\\rceil$ [[arXiv:2203.10064](https://arxiv.org/abs/2203.10064)]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.\",\"label\":\"Number of T states per rotation\",\"path\":\"physicalCountsFormatted/numTsPerRotation\"}],\"title\":\"Resource estimates breakdown\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Name of QEC scheme\",\"explanation\":\"You can load pre-defined QEC schemes by using the name `surface_code` or `floquet_code`. The latter only works with Majorana qubits.\",\"label\":\"QEC scheme\",\"path\":\"jobParams/qecScheme/name\"},{\"description\":\"Required code distance for error correction\",\"explanation\":\"The code distance is the smallest odd integer greater or equal to $\\\\dfrac{2\\\\log(0.03 / 0.0000002834467120181406)}{\\\\log(0.01/0.001)} - 1$\",\"label\":\"Code distance\",\"path\":\"logicalQubit/codeDistance\"},{\"description\":\"Number of physical qubits per logical qubit\",\"explanation\":\"The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.\",\"label\":\"Physical qubits\",\"path\":\"logicalQubit/physicalQubits\"},{\"description\":\"Duration of a logical cycle in nanoseconds\",\"explanation\":\"The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.\",\"label\":\"Logical cycle time\",\"path\":\"physicalCountsFormatted/logicalCycleTime\"},{\"description\":\"Logical qubit error rate\",\"explanation\":\"The logical qubit error rate is computed as $0.03 \\\\cdot \\\\left(\\\\dfrac{0.001}{0.01}\\\\right)^\\\\frac{11 + 1}{2}$\",\"label\":\"Logical qubit error rate\",\"path\":\"physicalCountsFormatted/logicalErrorRate\"},{\"description\":\"Crossing prefactor used in QEC scheme\",\"explanation\":\"The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.\",\"label\":\"Crossing prefactor\",\"path\":\"jobParams/qecScheme/crossingPrefactor\"},{\"description\":\"Error correction threshold used in QEC scheme\",\"explanation\":\"The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.\",\"label\":\"Error correction threshold\",\"path\":\"jobParams/qecScheme/errorCorrectionThreshold\"},{\"description\":\"QEC scheme formula used to compute logical cycle time\",\"explanation\":\"This is the formula that is used to compute the logical cycle time 4us 400ns.\",\"label\":\"Logical cycle time formula\",\"path\":\"jobParams/qecScheme/logicalCycleTime\"},{\"description\":\"QEC scheme formula used to compute number of physical qubits per logical qubit\",\"explanation\":\"This is the formula that is used to compute the number of physical qubits per logical qubits 242.\",\"label\":\"Physical qubits formula\",\"path\":\"jobParams/qecScheme/physicalQubitsPerLogicalQubit\"}],\"title\":\"Logical qubit parameters\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of physical qubits for a single T factory\",\"explanation\":\"This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.\",\"label\":\"Physical qubits\",\"path\":\"tfactory/physicalQubits\"},{\"description\":\"Runtime of a single T factory\",\"explanation\":\"The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.\",\"label\":\"Runtime\",\"path\":\"physicalCountsFormatted/tfactoryRuntime\"},{\"description\":\"Number of output T states produced in a single run of T factory\",\"explanation\":\"The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.17e-6.\",\"label\":\"Number of output T states per run\",\"path\":\"tfactory/numTstates\"},{\"description\":\"Number of physical input T states consumed in a single run of a T factory\",\"explanation\":\"This value includes the physical input T states of all copies of the distillation unit in the first round.\",\"label\":\"Number of input T states per run\",\"path\":\"tfactory/numInputTstates\"},{\"description\":\"The number of distillation rounds\",\"explanation\":\"This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.\",\"label\":\"Distillation rounds\",\"path\":\"tfactory/numRounds\"},{\"description\":\"The number of units in each round of distillation\",\"explanation\":\"This is the number of copies for the distillation units per round.\",\"label\":\"Distillation units per round\",\"path\":\"physicalCountsFormatted/numUnitsPerRound\"},{\"description\":\"The types of distillation units\",\"explanation\":\"These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.\",\"label\":\"Distillation units\",\"path\":\"physicalCountsFormatted/unitNamePerRound\"},{\"description\":\"The code distance in each round of distillation\",\"explanation\":\"This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.\",\"label\":\"Distillation code distances\",\"path\":\"physicalCountsFormatted/codeDistancePerRound\"},{\"description\":\"The number of physical qubits used in each round of distillation\",\"explanation\":\"The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.\",\"label\":\"Number of physical qubits per round\",\"path\":\"physicalCountsFormatted/physicalQubitsPerRound\"},{\"description\":\"The runtime of each distillation round\",\"explanation\":\"The runtime of the T factory is the sum of the runtimes in all rounds.\",\"label\":\"Runtime per round\",\"path\":\"physicalCountsFormatted/tfactoryRuntimePerRound\"},{\"description\":\"Logical T state error rate\",\"explanation\":\"This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 7.35e-6.\",\"label\":\"Logical T state error rate\",\"path\":\"physicalCountsFormatted/tstateLogicalErrorRate\"}],\"title\":\"T factory parameters\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of logical qubits in the input quantum program\",\"explanation\":\"We determine 28 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.\",\"label\":\"Logical qubits (pre-layout)\",\"path\":\"logicalCounts/numQubits\"},{\"description\":\"Number of T gates in the input quantum program\",\"explanation\":\"This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.\",\"label\":\"T gates\",\"path\":\"logicalCounts/tCount\"},{\"description\":\"Number of rotation gates in the input quantum program\",\"explanation\":\"This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.\",\"label\":\"Rotation gates\",\"path\":\"logicalCounts/rotationCount\"},{\"description\":\"Depth of rotation gates in the input quantum program\",\"explanation\":\"This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.\",\"label\":\"Rotation depth\",\"path\":\"logicalCounts/rotationDepth\"},{\"description\":\"Number of CCZ-gates in the input quantum program\",\"explanation\":\"This is the number of CCZ gates.\",\"label\":\"CCZ gates\",\"path\":\"logicalCounts/cczCount\"},{\"description\":\"Number of CCiX-gates in the input quantum program\",\"explanation\":\"This is the number of CCiX gates, which applies $-iX$ controlled on two control qubits [[1212.5069](https://arxiv.org/abs/1212.5069)].\",\"label\":\"CCiX gates\",\"path\":\"logicalCounts/ccixCount\"},{\"description\":\"Number of single qubit measurements in the input quantum program\",\"explanation\":\"This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.\",\"label\":\"Measurement operations\",\"path\":\"logicalCounts/measurementCount\"}],\"title\":\"Pre-layout logical resources\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Total error budget for the algorithm\",\"explanation\":\"The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget $\\\\epsilon = \\\\epsilon_{\\\\log} + \\\\epsilon_{\\\\rm dis} + \\\\epsilon_{\\\\rm syn}$ is uniformly distributed and applies to errors $\\\\epsilon_{\\\\log}$ to implement logical qubits, an error budget $\\\\epsilon_{\\\\rm dis}$ to produce T states through distillation, and an error budget $\\\\epsilon_{\\\\rm syn}$ to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets $\\\\epsilon_{\\\\rm dis}$ and $\\\\epsilon_{\\\\rm syn}$ are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.\",\"label\":\"Total error budget\",\"path\":\"physicalCountsFormatted/errorBudget\"},{\"description\":\"Probability of at least one logical error\",\"explanation\":\"This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.\",\"label\":\"Logical error probability\",\"path\":\"physicalCountsFormatted/errorBudgetLogical\"},{\"description\":\"Probability of at least one faulty T distillation\",\"explanation\":\"This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.\",\"label\":\"T distillation error probability\",\"path\":\"physicalCountsFormatted/errorBudgetTstates\"},{\"description\":\"Probability of at least one failed rotation synthesis\",\"explanation\":\"This is one third of the total error budget 1.00e-3.\",\"label\":\"Rotation synthesis error probability\",\"path\":\"physicalCountsFormatted/errorBudgetRotations\"}],\"title\":\"Assumed error budget\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Some descriptive name for the qubit model\",\"explanation\":\"You can load pre-defined qubit parameters by using the names `qubit_gate_ns_e3`, `qubit_gate_ns_e4`, `qubit_gate_us_e3`, `qubit_gate_us_e4`, `qubit_maj_ns_e4`, or `qubit_maj_ns_e6`. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or ¬µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).\",\"label\":\"Qubit name\",\"path\":\"jobParams/qubitParams/name\"},{\"description\":\"Underlying qubit technology (gate-based or Majorana)\",\"explanation\":\"When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either *gate-based* or *Majorana*. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.\",\"label\":\"Instruction set\",\"path\":\"jobParams/qubitParams/instructionSet\"},{\"description\":\"Operation time for single-qubit measurement (t_meas) in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.\",\"label\":\"Single-qubit measurement time\",\"path\":\"jobParams/qubitParams/oneQubitMeasurementTime\"},{\"description\":\"Operation time for single-qubit gate (t_gate) in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.\",\"label\":\"Single-qubit gate time\",\"path\":\"jobParams/qubitParams/oneQubitGateTime\"},{\"description\":\"Operation time for two-qubit gate in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.\",\"label\":\"Two-qubit gate time\",\"path\":\"jobParams/qubitParams/twoQubitGateTime\"},{\"description\":\"Operation time for a T gate\",\"explanation\":\"This is the operation time in nanoseconds to execute a T gate.\",\"label\":\"T gate time\",\"path\":\"jobParams/qubitParams/tGateTime\"},{\"description\":\"Error rate for single-qubit measurement\",\"explanation\":\"This is the probability in which a single-qubit measurement in the Pauli basis may fail.\",\"label\":\"Single-qubit measurement error rate\",\"path\":\"jobParams/qubitParams/oneQubitMeasurementErrorRate\"},{\"description\":\"Error rate for single-qubit Clifford gate (p)\",\"explanation\":\"This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.\",\"label\":\"Single-qubit error rate\",\"path\":\"jobParams/qubitParams/oneQubitGateErrorRate\"},{\"description\":\"Error rate for two-qubit Clifford gate\",\"explanation\":\"This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.\",\"label\":\"Two-qubit error rate\",\"path\":\"jobParams/qubitParams/twoQubitGateErrorRate\"},{\"description\":\"Error rate to prepare single-qubit T state or apply a T gate (p_T)\",\"explanation\":\"This is the probability in which executing a single T gate may fail.\",\"label\":\"T gate error rate\",\"path\":\"jobParams/qubitParams/tGateErrorRate\"}],\"title\":\"Physical qubit parameters\"}]},\"status\":\"success\",\"tfactory\":{\"codeDistancePerRound\":[9],\"logicalErrorRate\":2.165000000000001E-06,\"numInputTstates\":30,\"numRounds\":1,\"numTstates\":1,\"numUnitsPerRound\":[2],\"physicalQubits\":6480,\"physicalQubitsPerRound\":[6480],\"runtime\":46800.0,\"runtimePerRound\":[46800.0],\"unitNamePerRound\":[\"15-to-1 space efficient logical\"]}}", + "text/html": [ + "\r\n", + "
\r\n", + " \r\n", + " Physical resource estimates\r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "
Physical qubits84536\r\n", + "

Number of physical qubits

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This value represents the total number of physical qubits, which is the sum of 6776 physical qubits to implement the algorithm logic, and 77760 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.

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Runtime277us 200ns\r\n", + "

Total runtime

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This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (4us 400ns) multiplied by the 63 logical cycles to run the algorithm. If however the duration of a single T factory (here: 46us 800ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.

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Logical algorithmic qubits28\r\n", + "

Number of logical qubits for the algorithm after layout

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Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the \\(Q_{\\rm alg} = 9\\) logical qubits in the input algorithm, we require in total $2 \\cdot Q_{\\rm alg} + \\lceil \\sqrt{8 \\cdot Q_{\\rm alg}}\\rceil + 1 = 28$ logical qubits.

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Algorithmic depth63\r\n", + "

Number of logical cycles for the algorithm

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To execute the algorithm using Parallel Synthesis Sequential Pauli Computation (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 12 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 5 CCZ and 12 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.

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Logical depth63\r\n", + "

Number of logical cycles performed

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This number is usually equal to the logical depth of the algorithm, which is 63. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.

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Number of T states68\r\n", + "

Number of T states consumed by the algorithm

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To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 5 CCZ and 12 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.

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Number of T factories12\r\n", + "

Number of T factories capable of producing the demanded 68 T states during the algorithm's runtime

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The total number of T factories 12 that are executed in parallel is computed as \\(\\left\\lceil\\dfrac{68\\;\\text{T states} \\cdot 46us 800ns\\;\\text{T factory duration}}{1\\;\\text{T states per T factory} \\cdot 277us 200ns\\;\\text{algorithm runtime}}\\right\\rceil\\)

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Number of T factory invocations6\r\n", + "

Number of times all T factories are invoked

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In order to prepare the 68 T states, the 12 copies of the T factory are repeatedly invoked 6 times.

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Physical algorithmic qubits6776\r\n", + "

Number of physical qubits for the algorithm after layout

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The 6776 are the product of the 28 logical qubits after layout and the 242 physical qubits that encode a single logical qubit.

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Physical T factory qubits77760\r\n", + "

Number of physical qubits for the T factories

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Each T factory requires 6480 physical qubits and we run 12 in parallel, therefore we need $77760 = 6480 \\cdot 12$ qubits.

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Required logical qubit error rate2.83e-7\r\n", + "

The minimum logical qubit error rate required to run the algorithm within the error budget

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The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 28 logical qubits and the total cycle count 63.

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Required logical T state error rate7.35e-6\r\n", + "

The minimum T state error rate required for distilled T states

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The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 68.

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Number of T states per rotationNo rotations in algorithm\r\n", + "

Number of T states to implement a rotation with an arbitrary angle

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The number of T states to implement a rotation with an arbitrary angle is \\(\\lceil 0.53 \\log_2(0 / 0) + 5.3\\rceil\\) [arXiv:2203.10064]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.

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QEC schemesurface_code\r\n", + "

Name of QEC scheme

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You can load pre-defined QEC schemes by using the name surface_code or floquet_code. The latter only works with Majorana qubits.

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Code distance11\r\n", + "

Required code distance for error correction

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The code distance is the smallest odd integer greater or equal to \\(\\dfrac{2\\log(0.03 / 0.0000002834467120181406)}{\\log(0.01/0.001)} - 1\\)

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Physical qubits242\r\n", + "

Number of physical qubits per logical qubit

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The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.

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Logical cycle time4us 400ns\r\n", + "

Duration of a logical cycle in nanoseconds

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The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.

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Logical qubit error rate3.00e-8\r\n", + "

Logical qubit error rate

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The logical qubit error rate is computed as $0.03 \\cdot \\left(\\dfrac{0.001}{0.01}\\right)^\\frac{11 + 1}{2}$

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Crossing prefactor0.03\r\n", + "

Crossing prefactor used in QEC scheme

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The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.

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Error correction threshold0.01\r\n", + "

Error correction threshold used in QEC scheme

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The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.

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Logical cycle time formula(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance\r\n", + "

QEC scheme formula used to compute logical cycle time

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This is the formula that is used to compute the logical cycle time 4us 400ns.

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Physical qubits formula2 * codeDistance * codeDistance\r\n", + "

QEC scheme formula used to compute number of physical qubits per logical qubit

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This is the formula that is used to compute the number of physical qubits per logical qubits 242.

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Physical qubits6480\r\n", + "

Number of physical qubits for a single T factory

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This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.

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Runtime46us 800ns\r\n", + "

Runtime of a single T factory

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The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.

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Number of output T states per run1\r\n", + "

Number of output T states produced in a single run of T factory

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The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.17e-6.

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Number of input T states per run30\r\n", + "

Number of physical input T states consumed in a single run of a T factory

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\r\n", + "

This value includes the physical input T states of all copies of the distillation unit in the first round.

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Distillation rounds1\r\n", + "

The number of distillation rounds

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This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.

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Distillation units per round2\r\n", + "

The number of units in each round of distillation

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\r\n", + "

This is the number of copies for the distillation units per round.

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Distillation units15-to-1 space efficient logical\r\n", + "

The types of distillation units

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\r\n", + "

These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.

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Distillation code distances9\r\n", + "

The code distance in each round of distillation

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This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.

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Number of physical qubits per round6480\r\n", + "

The number of physical qubits used in each round of distillation

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The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.

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Runtime per round46us 800ns\r\n", + "

The runtime of each distillation round

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The runtime of the T factory is the sum of the runtimes in all rounds.

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Logical T state error rate2.17e-6\r\n", + "

Logical T state error rate

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This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 7.35e-6.

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Logical qubits (pre-layout)9\r\n", + "

Number of logical qubits in the input quantum program

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We determine 28 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.

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T gates0\r\n", + "

Number of T gates in the input quantum program

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This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.

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Rotation gates0\r\n", + "

Number of rotation gates in the input quantum program

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This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.

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Rotation depth0\r\n", + "

Depth of rotation gates in the input quantum program

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This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.

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CCZ gates5\r\n", + "

Number of CCZ-gates in the input quantum program

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This is the number of CCZ gates.

\n", + "\r\n", + "
CCiX gates12\r\n", + "

Number of CCiX-gates in the input quantum program

\n", + "\r\n", + "
\r\n", + "

This is the number of CCiX gates, which applies \\(-iX\\) controlled on two control qubits [1212.5069].

\n", + "\r\n", + "
Measurement operations12\r\n", + "

Number of single qubit measurements in the input quantum program

\n", + "\r\n", + "
\r\n", + "

This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.

\n", + "\r\n", + "
\r\n", + "\r\n", + "
\r\n", + " \r\n", + " Assumed error budget\r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "
Total error budget1.00e-3\r\n", + "

Total error budget for the algorithm

\n", + "\r\n", + "
\r\n", + "

The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget \\(\\epsilon = \\epsilon_{\\log} + \\epsilon_{\\rm dis} + \\epsilon_{\\rm syn}\\) is uniformly distributed and applies to errors \\(\\epsilon_{\\log}\\) to implement logical qubits, an error budget \\(\\epsilon_{\\rm dis}\\) to produce T states through distillation, and an error budget \\(\\epsilon_{\\rm syn}\\) to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets \\(\\epsilon_{\\rm dis}\\) and \\(\\epsilon_{\\rm syn}\\) are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.

\n", + "\r\n", + "
Logical error probability5.00e-4\r\n", + "

Probability of at least one logical error

\n", + "\r\n", + "
\r\n", + "

This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.

\n", + "\r\n", + "
T distillation error probability5.00e-4\r\n", + "

Probability of at least one faulty T distillation

\n", + "\r\n", + "
\r\n", + "

This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.

\n", + "\r\n", + "
Rotation synthesis error probability0.00e0\r\n", + "

Probability of at least one failed rotation synthesis

\n", + "\r\n", + "
\r\n", + "

This is one third of the total error budget 1.00e-3.

\n", + "\r\n", + "
\r\n", + "\r\n", + "
\r\n", + " \r\n", + " Physical qubit parameters\r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "
Qubit namequbit_gate_ns_e3\r\n", + "

Some descriptive name for the qubit model

\n", + "\r\n", + "
\r\n", + "

You can load pre-defined qubit parameters by using the names qubit_gate_ns_e3, qubit_gate_ns_e4, qubit_gate_us_e3, qubit_gate_us_e4, qubit_maj_ns_e4, or qubit_maj_ns_e6. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).

\n", + "\r\n", + "
Instruction setGateBased\r\n", + "

Underlying qubit technology (gate-based or Majorana)

\n", + "\r\n", + "
\r\n", + "

When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either gate-based or Majorana. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.

\n", + "\r\n", + "
Single-qubit measurement time100 ns\r\n", + "

Operation time for single-qubit measurement (t_meas) in ns

\n", + "\r\n", + "
\r\n", + "

This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.

\n", + "\r\n", + "
Single-qubit gate time50 ns\r\n", + "

Operation time for single-qubit gate (t_gate) in ns

\n", + "\r\n", + "
\r\n", + "

This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.

\n", + "\r\n", + "
Two-qubit gate time50 ns\r\n", + "

Operation time for two-qubit gate in ns

\n", + "\r\n", + "
\r\n", + "

This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.

\n", + "\r\n", + "
T gate time50 ns\r\n", + "

Operation time for a T gate

\n", + "\r\n", + "
\r\n", + "

This is the operation time in nanoseconds to execute a T gate.

\n", + "\r\n", + "
Single-qubit measurement error rate0.001\r\n", + "

Error rate for single-qubit measurement

\n", + "\r\n", + "
\r\n", + "

This is the probability in which a single-qubit measurement in the Pauli basis may fail.

\n", + "\r\n", + "
Single-qubit error rate0.001\r\n", + "

Error rate for single-qubit Clifford gate (p)

\n", + "\r\n", + "
\r\n", + "

This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.

\n", + "\r\n", + "
Two-qubit error rate0.001\r\n", + "

Error rate for two-qubit Clifford gate

\n", + "\r\n", + "
\r\n", + "

This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.

\n", + "\r\n", + "
T gate error rate0.001\r\n", + "

Error rate to prepare single-qubit T state or apply a T gate (p_T)

\n", + "\r\n", + "
\r\n", + "

This is the probability in which executing a single T gate may fail.

\n", + "\r\n", + "
\r\n", + "
\r\n", + " Assumptions\r\n", + "
    \r\n", + "

  • More details on the following lists of assumptions can be found in the paper Accessing requirements for scaling quantum computers and their applications.

    \n", + "
    • \r\n", + "

  • Uniform independent physical noise. We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.

    \n", + "
    • \r\n", + "

  • Efficient classical computation. We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.

    \n", + "
    • \r\n", + "

  • Extraction circuits for planar quantum ISA. We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).

    \n", + "
    • \r\n", + "

  • Uniform independent logical noise. We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.

    \n", + "
    • \r\n", + "

  • Negligible Clifford costs for synthesis. We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.

    \n", + "
    • \r\n", + "

  • Smooth magic state consumption rate. We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.

    \n", + "
    • \r\n", + "
\r\n" + ], + "text/plain": [ + "{'errorBudget': {'logical': 0.0005, 'rotations': 0.0, 'tstates': 0.0005},\n", + " 'jobParams': {'errorBudget': 0.001,\n", + " 'qecScheme': {'crossingPrefactor': 0.03,\n", + " 'errorCorrectionThreshold': 0.01,\n", + " 'logicalCycleTime': '(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance',\n", + " 'name': 'surface_code',\n", + " 'physicalQubitsPerLogicalQubit': '2 * codeDistance * codeDistance'},\n", + " 'qubitParams': {'instructionSet': 'GateBased',\n", + " 'name': 'qubit_gate_ns_e3',\n", + " 'oneQubitGateErrorRate': 0.001,\n", + " 'oneQubitGateTime': '50 ns',\n", + " 'oneQubitMeasurementErrorRate': 0.001,\n", + " 'oneQubitMeasurementTime': '100 ns',\n", + " 'tGateErrorRate': 0.001,\n", + " 'tGateTime': '50 ns',\n", + " 'twoQubitGateErrorRate': 0.001,\n", + " 'twoQubitGateTime': '50 ns'}},\n", + " 'logicalCounts': {'ccixCount': 12,\n", + " 'cczCount': 5,\n", + " 'measurementCount': 12,\n", + " 'numQubits': 9,\n", + " 'rotationCount': 0,\n", + " 'rotationDepth': 0,\n", + " 'tCount': 0},\n", + " 'logicalQubit': {'codeDistance': 11,\n", + " 'logicalCycleTime': 4400.0,\n", + " 'logicalErrorRate': 3.000000000000002e-08,\n", + " 'physicalQubits': 242},\n", + " 'physicalCounts': {'breakdown': {'algorithmicLogicalDepth': 63,\n", + " 'algorithmicLogicalQubits': 28,\n", + " 'cliffordErrorRate': 0.001,\n", + " 'logicalDepth': 63,\n", + " 'numTfactories': 12,\n", + " 'numTfactoryRuns': 6,\n", + " 'numTsPerRotation': None,\n", + " 'numTstates': 68,\n", + " 'physicalQubitsForAlgorithm': 6776,\n", + " 'physicalQubitsForTfactories': 77760,\n", + " 'requiredLogicalQubitErrorRate': 2.834467120181406e-07,\n", + " 'requiredLogicalTstateErrorRate': 7.3529411764705884e-06},\n", + " 'physicalQubits': 84536,\n", + " 'runtime': 277200},\n", + " 'physicalCountsFormatted': {'codeDistancePerRound': '9',\n", + " 'errorBudget': '1.00e-3',\n", + " 'errorBudgetLogical': '5.00e-4',\n", + " 'errorBudgetRotations': '0.00e0',\n", + " 'errorBudgetTstates': '5.00e-4',\n", + " 'logicalCycleTime': '4us 400ns',\n", + " 'logicalErrorRate': '3.00e-8',\n", + " 'numTsPerRotation': 'No rotations in algorithm',\n", + " 'numUnitsPerRound': '2',\n", + " 'physicalQubitsForTfactoriesPercentage': '91.98 %',\n", + " 'physicalQubitsPerRound': '6480',\n", + " 'requiredLogicalQubitErrorRate': '2.83e-7',\n", + " 'requiredLogicalTstateErrorRate': '7.35e-6',\n", + " 'runtime': '277us 200ns',\n", + " 'tfactoryRuntime': '46us 800ns',\n", + " 'tfactoryRuntimePerRound': '46us 800ns',\n", + " 'tstateLogicalErrorRate': '2.17e-6',\n", + " 'unitNamePerRound': '15-to-1 space efficient logical'},\n", + " 'reportData': {'assumptions': ['_More details on the following lists of assumptions can be found in the paper [Accessing requirements for scaling quantum computers and their applications](https://aka.ms/AQ/RE/Paper)._',\n", + " '**Uniform independent physical noise.** We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.',\n", + " '**Efficient classical computation.** We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.',\n", + " '**Extraction circuits for planar quantum ISA.** We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).',\n", + " '**Uniform independent logical noise.** We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.',\n", + " '**Negligible Clifford costs for synthesis.** We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.',\n", + " '**Smooth magic state consumption rate.** We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.'],\n", + " 'groups': [{'alwaysVisible': True,\n", + " 'entries': [{'description': 'Number of physical qubits',\n", + " 'explanation': 'This value represents the total number of physical qubits, which is the sum of 6776 physical qubits to implement the algorithm logic, and 77760 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.',\n", + " 'label': 'Physical qubits',\n", + " 'path': 'physicalCounts/physicalQubits'},\n", + " {'description': 'Total runtime',\n", + " 'explanation': 'This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (4us 400ns) multiplied by the 63 logical cycles to run the algorithm. If however the duration of a single T factory (here: 46us 800ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.',\n", + " 'label': 'Runtime',\n", + " 'path': 'physicalCountsFormatted/runtime'}],\n", + " 'title': 'Physical resource estimates'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Number of logical qubits for the algorithm after layout',\n", + " 'explanation': 'Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the $Q_{\\\\rm alg} = 9$ logical qubits in the input algorithm, we require in total $2 \\\\cdot Q_{\\\\rm alg} + \\\\lceil \\\\sqrt{8 \\\\cdot Q_{\\\\rm alg}}\\\\rceil + 1 = 28$ logical qubits.',\n", + " 'label': 'Logical algorithmic qubits',\n", + " 'path': 'physicalCounts/breakdown/algorithmicLogicalQubits'},\n", + " {'description': 'Number of logical cycles for the algorithm',\n", + " 'explanation': 'To execute the algorithm using _Parallel Synthesis Sequential Pauli Computation_ (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 12 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 5 CCZ and 12 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.',\n", + " 'label': 'Algorithmic depth',\n", + " 'path': 'physicalCounts/breakdown/algorithmicLogicalDepth'},\n", + " {'description': 'Number of logical cycles performed',\n", + " 'explanation': \"This number is usually equal to the logical depth of the algorithm, which is 63. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.\",\n", + " 'label': 'Logical depth',\n", + " 'path': 'physicalCounts/breakdown/logicalDepth'},\n", + " {'description': 'Number of T states consumed by the algorithm',\n", + " 'explanation': 'To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 5 CCZ and 12 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.',\n", + " 'label': 'Number of T states',\n", + " 'path': 'physicalCounts/breakdown/numTstates'},\n", + " {'description': \"Number of T factories capable of producing the demanded 68 T states during the algorithm's runtime\",\n", + " 'explanation': 'The total number of T factories 12 that are executed in parallel is computed as $\\\\left\\\\lceil\\\\dfrac{68\\\\;\\\\text{T states} \\\\cdot 46us 800ns\\\\;\\\\text{T factory duration}}{1\\\\;\\\\text{T states per T factory} \\\\cdot 277us 200ns\\\\;\\\\text{algorithm runtime}}\\\\right\\\\rceil$',\n", + " 'label': 'Number of T factories',\n", + " 'path': 'physicalCounts/breakdown/numTfactories'},\n", + " {'description': 'Number of times all T factories are invoked',\n", + " 'explanation': 'In order to prepare the 68 T states, the 12 copies of the T factory are repeatedly invoked 6 times.',\n", + " 'label': 'Number of T factory invocations',\n", + " 'path': 'physicalCounts/breakdown/numTfactoryRuns'},\n", + " {'description': 'Number of physical qubits for the algorithm after layout',\n", + " 'explanation': 'The 6776 are the product of the 28 logical qubits after layout and the 242 physical qubits that encode a single logical qubit.',\n", + " 'label': 'Physical algorithmic qubits',\n", + " 'path': 'physicalCounts/breakdown/physicalQubitsForAlgorithm'},\n", + " {'description': 'Number of physical qubits for the T factories',\n", + " 'explanation': 'Each T factory requires 6480 physical qubits and we run 12 in parallel, therefore we need $77760 = 6480 \\\\cdot 12$ qubits.',\n", + " 'label': 'Physical T factory qubits',\n", + " 'path': 'physicalCounts/breakdown/physicalQubitsForTfactories'},\n", + " {'description': 'The minimum logical qubit error rate required to run the algorithm within the error budget',\n", + " 'explanation': 'The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 28 logical qubits and the total cycle count 63.',\n", + " 'label': 'Required logical qubit error rate',\n", + " 'path': 'physicalCountsFormatted/requiredLogicalQubitErrorRate'},\n", + " {'description': 'The minimum T state error rate required for distilled T states',\n", + " 'explanation': 'The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 68.',\n", + " 'label': 'Required logical T state error rate',\n", + " 'path': 'physicalCountsFormatted/requiredLogicalTstateErrorRate'},\n", + " {'description': 'Number of T states to implement a rotation with an arbitrary angle',\n", + " 'explanation': 'The number of T states to implement a rotation with an arbitrary angle is $\\\\lceil 0.53 \\\\log_2(0 / 0) + 5.3\\\\rceil$ [[arXiv:2203.10064](https://arxiv.org/abs/2203.10064)]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.',\n", + " 'label': 'Number of T states per rotation',\n", + " 'path': 'physicalCountsFormatted/numTsPerRotation'}],\n", + " 'title': 'Resource estimates breakdown'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Name of QEC scheme',\n", + " 'explanation': 'You can load pre-defined QEC schemes by using the name `surface_code` or `floquet_code`. The latter only works with Majorana qubits.',\n", + " 'label': 'QEC scheme',\n", + " 'path': 'jobParams/qecScheme/name'},\n", + " {'description': 'Required code distance for error correction',\n", + " 'explanation': 'The code distance is the smallest odd integer greater or equal to $\\\\dfrac{2\\\\log(0.03 / 0.0000002834467120181406)}{\\\\log(0.01/0.001)} - 1$',\n", + " 'label': 'Code distance',\n", + " 'path': 'logicalQubit/codeDistance'},\n", + " {'description': 'Number of physical qubits per logical qubit',\n", + " 'explanation': 'The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.',\n", + " 'label': 'Physical qubits',\n", + " 'path': 'logicalQubit/physicalQubits'},\n", + " {'description': 'Duration of a logical cycle in nanoseconds',\n", + " 'explanation': 'The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.',\n", + " 'label': 'Logical cycle time',\n", + " 'path': 'physicalCountsFormatted/logicalCycleTime'},\n", + " {'description': 'Logical qubit error rate',\n", + " 'explanation': 'The logical qubit error rate is computed as $0.03 \\\\cdot \\\\left(\\\\dfrac{0.001}{0.01}\\\\right)^\\\\frac{11 + 1}{2}$',\n", + " 'label': 'Logical qubit error rate',\n", + " 'path': 'physicalCountsFormatted/logicalErrorRate'},\n", + " {'description': 'Crossing prefactor used in QEC scheme',\n", + " 'explanation': 'The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.',\n", + " 'label': 'Crossing prefactor',\n", + " 'path': 'jobParams/qecScheme/crossingPrefactor'},\n", + " {'description': 'Error correction threshold used in QEC scheme',\n", + " 'explanation': 'The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.',\n", + " 'label': 'Error correction threshold',\n", + " 'path': 'jobParams/qecScheme/errorCorrectionThreshold'},\n", + " {'description': 'QEC scheme formula used to compute logical cycle time',\n", + " 'explanation': 'This is the formula that is used to compute the logical cycle time 4us 400ns.',\n", + " 'label': 'Logical cycle time formula',\n", + " 'path': 'jobParams/qecScheme/logicalCycleTime'},\n", + " {'description': 'QEC scheme formula used to compute number of physical qubits per logical qubit',\n", + " 'explanation': 'This is the formula that is used to compute the number of physical qubits per logical qubits 242.',\n", + " 'label': 'Physical qubits formula',\n", + " 'path': 'jobParams/qecScheme/physicalQubitsPerLogicalQubit'}],\n", + " 'title': 'Logical qubit parameters'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Number of physical qubits for a single T factory',\n", + " 'explanation': 'This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.',\n", + " 'label': 'Physical qubits',\n", + " 'path': 'tfactory/physicalQubits'},\n", + " {'description': 'Runtime of a single T factory',\n", + " 'explanation': 'The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.',\n", + " 'label': 'Runtime',\n", + " 'path': 'physicalCountsFormatted/tfactoryRuntime'},\n", + " {'description': 'Number of output T states produced in a single run of T factory',\n", + " 'explanation': 'The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.17e-6.',\n", + " 'label': 'Number of output T states per run',\n", + " 'path': 'tfactory/numTstates'},\n", + " {'description': 'Number of physical input T states consumed in a single run of a T factory',\n", + " 'explanation': 'This value includes the physical input T states of all copies of the distillation unit in the first round.',\n", + " 'label': 'Number of input T states per run',\n", + " 'path': 'tfactory/numInputTstates'},\n", + " {'description': 'The number of distillation rounds',\n", + " 'explanation': 'This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.',\n", + " 'label': 'Distillation rounds',\n", + " 'path': 'tfactory/numRounds'},\n", + " {'description': 'The number of units in each round of distillation',\n", + " 'explanation': 'This is the number of copies for the distillation units per round.',\n", + " 'label': 'Distillation units per round',\n", + " 'path': 'physicalCountsFormatted/numUnitsPerRound'},\n", + " {'description': 'The types of distillation units',\n", + " 'explanation': 'These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.',\n", + " 'label': 'Distillation units',\n", + " 'path': 'physicalCountsFormatted/unitNamePerRound'},\n", + " {'description': 'The code distance in each round of distillation',\n", + " 'explanation': 'This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.',\n", + " 'label': 'Distillation code distances',\n", + " 'path': 'physicalCountsFormatted/codeDistancePerRound'},\n", + " {'description': 'The number of physical qubits used in each round of distillation',\n", + " 'explanation': 'The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.',\n", + " 'label': 'Number of physical qubits per round',\n", + " 'path': 'physicalCountsFormatted/physicalQubitsPerRound'},\n", + " {'description': 'The runtime of each distillation round',\n", + " 'explanation': 'The runtime of the T factory is the sum of the runtimes in all rounds.',\n", + " 'label': 'Runtime per round',\n", + " 'path': 'physicalCountsFormatted/tfactoryRuntimePerRound'},\n", + " {'description': 'Logical T state error rate',\n", + " 'explanation': 'This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 7.35e-6.',\n", + " 'label': 'Logical T state error rate',\n", + " 'path': 'physicalCountsFormatted/tstateLogicalErrorRate'}],\n", + " 'title': 'T factory parameters'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Number of logical qubits in the input quantum program',\n", + " 'explanation': 'We determine 28 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.',\n", + " 'label': 'Logical qubits (pre-layout)',\n", + " 'path': 'logicalCounts/numQubits'},\n", + " {'description': 'Number of T gates in the input quantum program',\n", + " 'explanation': 'This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.',\n", + " 'label': 'T gates',\n", + " 'path': 'logicalCounts/tCount'},\n", + " {'description': 'Number of rotation gates in the input quantum program',\n", + " 'explanation': 'This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.',\n", + " 'label': 'Rotation gates',\n", + " 'path': 'logicalCounts/rotationCount'},\n", + " {'description': 'Depth of rotation gates in the input quantum program',\n", + " 'explanation': 'This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.',\n", + " 'label': 'Rotation depth',\n", + " 'path': 'logicalCounts/rotationDepth'},\n", + " {'description': 'Number of CCZ-gates in the input quantum program',\n", + " 'explanation': 'This is the number of CCZ gates.',\n", + " 'label': 'CCZ gates',\n", + " 'path': 'logicalCounts/cczCount'},\n", + " {'description': 'Number of CCiX-gates in the input quantum program',\n", + " 'explanation': 'This is the number of CCiX gates, which applies $-iX$ controlled on two control qubits [[1212.5069](https://arxiv.org/abs/1212.5069)].',\n", + " 'label': 'CCiX gates',\n", + " 'path': 'logicalCounts/ccixCount'},\n", + " {'description': 'Number of single qubit measurements in the input quantum program',\n", + " 'explanation': 'This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.',\n", + " 'label': 'Measurement operations',\n", + " 'path': 'logicalCounts/measurementCount'}],\n", + " 'title': 'Pre-layout logical resources'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Total error budget for the algorithm',\n", + " 'explanation': \"The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget $\\\\epsilon = \\\\epsilon_{\\\\log} + \\\\epsilon_{\\\\rm dis} + \\\\epsilon_{\\\\rm syn}$ is uniformly distributed and applies to errors $\\\\epsilon_{\\\\log}$ to implement logical qubits, an error budget $\\\\epsilon_{\\\\rm dis}$ to produce T states through distillation, and an error budget $\\\\epsilon_{\\\\rm syn}$ to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets $\\\\epsilon_{\\\\rm dis}$ and $\\\\epsilon_{\\\\rm syn}$ are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.\",\n", + " 'label': 'Total error budget',\n", + " 'path': 'physicalCountsFormatted/errorBudget'},\n", + " {'description': 'Probability of at least one logical error',\n", + " 'explanation': 'This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.',\n", + " 'label': 'Logical error probability',\n", + " 'path': 'physicalCountsFormatted/errorBudgetLogical'},\n", + " {'description': 'Probability of at least one faulty T distillation',\n", + " 'explanation': 'This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.',\n", + " 'label': 'T distillation error probability',\n", + " 'path': 'physicalCountsFormatted/errorBudgetTstates'},\n", + " {'description': 'Probability of at least one failed rotation synthesis',\n", + " 'explanation': 'This is one third of the total error budget 1.00e-3.',\n", + " 'label': 'Rotation synthesis error probability',\n", + " 'path': 'physicalCountsFormatted/errorBudgetRotations'}],\n", + " 'title': 'Assumed error budget'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Some descriptive name for the qubit model',\n", + " 'explanation': 'You can load pre-defined qubit parameters by using the names `qubit_gate_ns_e3`, `qubit_gate_ns_e4`, `qubit_gate_us_e3`, `qubit_gate_us_e4`, `qubit_maj_ns_e4`, or `qubit_maj_ns_e6`. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).',\n", + " 'label': 'Qubit name',\n", + " 'path': 'jobParams/qubitParams/name'},\n", + " {'description': 'Underlying qubit technology (gate-based or Majorana)',\n", + " 'explanation': 'When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either *gate-based* or *Majorana*. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.',\n", + " 'label': 'Instruction set',\n", + " 'path': 'jobParams/qubitParams/instructionSet'},\n", + " {'description': 'Operation time for single-qubit measurement (t_meas) in ns',\n", + " 'explanation': 'This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.',\n", + " 'label': 'Single-qubit measurement time',\n", + " 'path': 'jobParams/qubitParams/oneQubitMeasurementTime'},\n", + " {'description': 'Operation time for single-qubit gate (t_gate) in ns',\n", + " 'explanation': 'This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.',\n", + " 'label': 'Single-qubit gate time',\n", + " 'path': 'jobParams/qubitParams/oneQubitGateTime'},\n", + " {'description': 'Operation time for two-qubit gate in ns',\n", + " 'explanation': 'This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.',\n", + " 'label': 'Two-qubit gate time',\n", + " 'path': 'jobParams/qubitParams/twoQubitGateTime'},\n", + " {'description': 'Operation time for a T gate',\n", + " 'explanation': 'This is the operation time in nanoseconds to execute a T gate.',\n", + " 'label': 'T gate time',\n", + " 'path': 'jobParams/qubitParams/tGateTime'},\n", + " {'description': 'Error rate for single-qubit measurement',\n", + " 'explanation': 'This is the probability in which a single-qubit measurement in the Pauli basis may fail.',\n", + " 'label': 'Single-qubit measurement error rate',\n", + " 'path': 'jobParams/qubitParams/oneQubitMeasurementErrorRate'},\n", + " {'description': 'Error rate for single-qubit Clifford gate (p)',\n", + " 'explanation': 'This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.',\n", + " 'label': 'Single-qubit error rate',\n", + " 'path': 'jobParams/qubitParams/oneQubitGateErrorRate'},\n", + " {'description': 'Error rate for two-qubit Clifford gate',\n", + " 'explanation': 'This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.',\n", + " 'label': 'Two-qubit error rate',\n", + " 'path': 'jobParams/qubitParams/twoQubitGateErrorRate'},\n", + " {'description': 'Error rate to prepare single-qubit T state or apply a T gate (p_T)',\n", + " 'explanation': 'This is the probability in which executing a single T gate may fail.',\n", + " 'label': 'T gate error rate',\n", + " 'path': 'jobParams/qubitParams/tGateErrorRate'}],\n", + " 'title': 'Physical qubit parameters'}]},\n", + " 'status': 'success',\n", + " 'tfactory': {'codeDistancePerRound': [9],\n", + " 'logicalErrorRate': 2.165000000000001e-06,\n", + " 'numInputTstates': 30,\n", + " 'numRounds': 1,\n", + " 'numTstates': 1,\n", + " 'numUnitsPerRound': [2],\n", + " 'physicalQubits': 6480,\n", + " 'physicalQubitsPerRound': [6480],\n", + " 'runtime': 46800.0,\n", + " 'runtimePerRound': [46800.0],\n", + " 'unitNamePerRound': ['15-to-1 space efficient logical']}}" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# If you need to pull up the results of an old job, use its job ID with qsharp.azure.output command\n", "# result = qsharp.azure.output(\"...\")\n", @@ -358,7 +3255,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": { "jupyter": { "outputs_hidden": false, @@ -384,7 +3281,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": { "jupyter": { "outputs_hidden": false, @@ -396,10 +3293,57 @@ } } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Logical algorithmic qubits = 28\n", + "Algorithmic depth = 63\n", + "Score = 1764\n" + ] + }, + { + "data": { + "text/plain": [ + "1764" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "evaluate_results(result)" ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "application/x-qsharp-data": "{\"Html\":\"
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\"6d61051a-6e40-4845-a03a-3c5160bb5629\",\n", - " \"isDefault\": true,\n", - " \"managedByTenants\": [\n", - " {\n", - " \"tenantId\": \"d0ecd01b-d782-448e-bae0-c3cad0e0543a\"\n", - " },\n", - " {\n", - " \"tenantId\": \"94c4857e-1130-4ab8-8eac-069b40c9db20\"\n", - " },\n", - " {\n", - " \"tenantId\": \"f702a9dc-ae48-4dc7-8f0a-8155a6dfa4e5\"\n", - " }\n", - " ],\n", - " \"name\": \"Azure for Students\",\n", - " \"state\": \"Enabled\",\n", - " \"tenantId\": \"aaf653e1-0bcd-4c2c-8658-12eb03e15774\",\n", - " \"user\": {\n", - " \"name\": \"papadm2@rpi.edu\",\n", - " \"type\": \"user\"\n", - " }\n", - " }\n", - "]\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "WARNING: A web browser has been opened at https://login.microsoftonline.com/organizations/oauth2/v2.0/authorize. Please continue the login in the web browser. If no web browser is available or if the web browser fails to open, use device code flow with `az login --use-device-code`.\n" - ] - } - ], + "outputs": [], "source": [ "!az login" ] @@ -106,7 +66,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -127,7 +87,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -148,7 +108,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -184,7 +144,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -249,7 +209,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -305,7 +265,7 @@ }, { "cell_type": "code", - "execution_count": 8, + 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\r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "
Qubit IDs0, 1, 2, 3, 4, 5
Basis state (bitstring)AmplitudeMeas. Pr.
$\\left|000000\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|000001\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|000010\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|000011\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|000100\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|000101\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|000110\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|000111\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|001000\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|001001\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|001010\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|001011\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|001100\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|001101\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|001110\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|001111\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|010000\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|010001\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|010010\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|010011\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|010100\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|010101\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|010110\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|010111\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|011000\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|011001\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|011010\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|011011\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|011100\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|011101\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|011110\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|011111\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|100000\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|100001\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|100010\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|100011\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|100100\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|100101\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|100110\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|100111\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|101000\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|101001\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|101010\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|101011\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|101100\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|101101\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|101110\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|101111\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|110000\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|110001\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|110010\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|110011\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|110100\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|110101\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|110110\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|110111\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|111000\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|111001\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|111010\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|111011\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|111100\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|111101\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|111110\\right\\rangle$$0.1768 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|111111\\right\\rangle$$0.0000 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
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"|111101⟩\t0 + 0𝑖\n", - "|111110⟩\t0.17677669529663698 + 0𝑖\n", - "|111111⟩\t0 + 0𝑖" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/plain": [ - "()" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# Note that in the output of this cell the target qubit corresponds to the rightmost bit\n", "qsharp.config[\"dump.basisStateLabelingConvention\"]=\"Bitstring\"\n", @@ -2045,7 +302,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -2057,56 +314,7 @@ } } }, - "outputs": [ - { - "data": { - "application/x-qsharp-data": "\"Connecting to Azure Quantum...\"", - "text/plain": [ - "Connecting to Azure Quantum..." - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Connected to Azure Quantum workspace iQuHack-Workspace-micpap25 in location eastus.\r\n" - ] - }, - { - "data": { - "text/plain": [ - "[{'id': 'ionq.qpu', 'current_availability': {}, 'average_queue_time': 270512},\n", - " {'id': 'ionq.qpu.aria-1', 'current_availability': {}, 'average_queue_time': 403929},\n", - " {'id': 'ionq.simulator', 'current_availability': {}, 'average_queue_time': 2},\n", - " {'id': 'microsoft.estimator', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.hqs-lt-s1', 'current_availability': {}, 'average_queue_time': 257411},\n", - " {'id': 'quantinuum.hqs-lt-s1-apival', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.hqs-lt-s2', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.hqs-lt-s2-apival', 'current_availability': {}, 'average_queue_time': 1},\n", - " {'id': 'quantinuum.hqs-lt-s1-sim', 'current_availability': {}, 'average_queue_time': 4298},\n", - " {'id': 'quantinuum.hqs-lt-s2-sim', 'current_availability': {}, 'average_queue_time': 138},\n", - " {'id': 'quantinuum.hqs-lt', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.qpu.h1-1', 'current_availability': {}, 'average_queue_time': 257411},\n", - " {'id': 'quantinuum.sim.h1-1sc', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.qpu.h1-2', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.sim.h1-2sc', 'current_availability': {}, 'average_queue_time': 1},\n", - " {'id': 'quantinuum.sim.h1-1e', 'current_availability': {}, 'average_queue_time': 4298},\n", - " {'id': 'quantinuum.sim.h1-2e', 'current_availability': {}, 'average_queue_time': 138},\n", - " {'id': 'quantinuum.qpu.h1', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'rigetti.sim.qvm', 'current_availability': {}, 'average_queue_time': 5},\n", - " {'id': 'rigetti.qpu.aspen-11', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'rigetti.qpu.aspen-m-2', 'current_availability': {}, 'average_queue_time': 5},\n", - " {'id': 'rigetti.qpu.aspen-m-3', 'current_availability': {}, 'average_queue_time': 5}]" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# If you're using this notebook in Azure Quantum hosted notebooks, remove the credential=\"CLI\" parameter!\n", "# If you're using this notebook in qBraid, keep it\n", @@ -2118,7 +326,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -2130,33 +338,14 @@ } } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Loading package Microsoft.Quantum.Providers.Core and dependencies...\n", - "Active target is now microsoft.estimator\n" - ] - }, - { - "data": { - "text/plain": [ - "{'id': 'microsoft.estimator', 'current_availability': {}, 'average_queue_time': 0}" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "qsharp.azure.target(\"microsoft.estimator\")" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -2168,21 +357,7 @@ } } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Submitting Task2_ResourceEstimationWrapper to target microsoft.estimator...\n", - "Job successfully submitted.\n", - " Job name: RE for the task 2\n", - " Job ID: fca65cf0-cdf4-4d26-bf0c-bd7a85c5ed0c\n", - "Waiting up to 30 seconds for Azure Quantum job to complete...\n", - "[3:58:05 PM] Current job status: Executing\n", - "[3:58:10 PM] Current job status: Succeeded\n" - ] - } - ], + "outputs": [], "source": [ "# Update job name to a more descriptive string to make it easier to find it in Job Management tab later\n", "result = qsharp.azure.execute(Task2_ResourceEstimationWrapper, jobName=\"RE for the task 2\")" @@ -2190,7 +365,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -2202,1051 +377,7 @@ } } }, - "outputs": [ - { - "data": { - "application/x-qsharp-data": "{\"errorBudget\":{\"logical\":0.0005,\"rotations\":0.0,\"tstates\":0.0005},\"jobParams\":{\"errorBudget\":0.001,\"qecScheme\":{\"crossingPrefactor\":0.03,\"errorCorrectionThreshold\":0.01,\"logicalCycleTime\":\"(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance\",\"name\":\"surface_code\",\"physicalQubitsPerLogicalQubit\":\"2 * codeDistance * codeDistance\"},\"qubitParams\":{\"instructionSet\":\"GateBased\",\"name\":\"qubit_gate_ns_e3\",\"oneQubitGateErrorRate\":0.001,\"oneQubitGateTime\":\"50 ns\",\"oneQubitMeasurementErrorRate\":0.001,\"oneQubitMeasurementTime\":\"100 ns\",\"tGateErrorRate\":0.001,\"tGateTime\":\"50 ns\",\"twoQubitGateErrorRate\":0.001,\"twoQubitGateTime\":\"50 ns\"}},\"logicalCounts\":{\"ccixCount\":12,\"cczCount\":5,\"measurementCount\":12,\"numQubits\":9,\"rotationCount\":0,\"rotationDepth\":0,\"tCount\":0},\"logicalQubit\":{\"codeDistance\":11,\"logicalCycleTime\":4400.0,\"logicalErrorRate\":3.000000000000002E-08,\"physicalQubits\":242},\"physicalCounts\":{\"breakdown\":{\"algorithmicLogicalDepth\":63,\"algorithmicLogicalQubits\":28,\"cliffordErrorRate\":0.001,\"logicalDepth\":63,\"numTfactories\":12,\"numTfactoryRuns\":6,\"numTsPerRotation\":null,\"numTstates\":68,\"physicalQubitsForAlgorithm\":6776,\"physicalQubitsForTfactories\":77760,\"requiredLogicalQubitErrorRate\":2.834467120181406E-07,\"requiredLogicalTstateErrorRate\":7.3529411764705884E-06},\"physicalQubits\":84536,\"runtime\":277200},\"physicalCountsFormatted\":{\"codeDistancePerRound\":\"9\",\"errorBudget\":\"1.00e-3\",\"errorBudgetLogical\":\"5.00e-4\",\"errorBudgetRotations\":\"0.00e0\",\"errorBudgetTstates\":\"5.00e-4\",\"logicalCycleTime\":\"4us 400ns\",\"logicalErrorRate\":\"3.00e-8\",\"numTsPerRotation\":\"No rotations in algorithm\",\"numUnitsPerRound\":\"2\",\"physicalQubitsForTfactoriesPercentage\":\"91.98 %\",\"physicalQubitsPerRound\":\"6480\",\"requiredLogicalQubitErrorRate\":\"2.83e-7\",\"requiredLogicalTstateErrorRate\":\"7.35e-6\",\"runtime\":\"277us 200ns\",\"tfactoryRuntime\":\"46us 800ns\",\"tfactoryRuntimePerRound\":\"46us 800ns\",\"tstateLogicalErrorRate\":\"2.17e-6\",\"unitNamePerRound\":\"15-to-1 space efficient logical\"},\"reportData\":{\"assumptions\":[\"_More details on the following lists of assumptions can be found in the paper [Accessing requirements for scaling quantum computers and their applications](https://aka.ms/AQ/RE/Paper)._\",\"**Uniform independent physical noise.** We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.\",\"**Efficient classical computation.** We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.\",\"**Extraction circuits for planar quantum ISA.** We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).\",\"**Uniform independent logical noise.** We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.\",\"**Negligible Clifford costs for synthesis.** We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.\",\"**Smooth magic state consumption rate.** We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.\"],\"groups\":[{\"alwaysVisible\":true,\"entries\":[{\"description\":\"Number of physical qubits\",\"explanation\":\"This value represents the total number of physical qubits, which is the sum of 6776 physical qubits to implement the algorithm logic, and 77760 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.\",\"label\":\"Physical qubits\",\"path\":\"physicalCounts/physicalQubits\"},{\"description\":\"Total runtime\",\"explanation\":\"This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (4us 400ns) multiplied by the 63 logical cycles to run the algorithm. If however the duration of a single T factory (here: 46us 800ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.\",\"label\":\"Runtime\",\"path\":\"physicalCountsFormatted/runtime\"}],\"title\":\"Physical resource estimates\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of logical qubits for the algorithm after layout\",\"explanation\":\"Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the $Q_{\\\\rm alg} = 9$ logical qubits in the input algorithm, we require in total $2 \\\\cdot Q_{\\\\rm alg} + \\\\lceil \\\\sqrt{8 \\\\cdot Q_{\\\\rm alg}}\\\\rceil + 1 = 28$ logical qubits.\",\"label\":\"Logical algorithmic qubits\",\"path\":\"physicalCounts/breakdown/algorithmicLogicalQubits\"},{\"description\":\"Number of logical cycles for the algorithm\",\"explanation\":\"To execute the algorithm using _Parallel Synthesis Sequential Pauli Computation_ (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 12 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 5 CCZ and 12 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.\",\"label\":\"Algorithmic depth\",\"path\":\"physicalCounts/breakdown/algorithmicLogicalDepth\"},{\"description\":\"Number of logical cycles performed\",\"explanation\":\"This number is usually equal to the logical depth of the algorithm, which is 63. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.\",\"label\":\"Logical depth\",\"path\":\"physicalCounts/breakdown/logicalDepth\"},{\"description\":\"Number of T states consumed by the algorithm\",\"explanation\":\"To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 5 CCZ and 12 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.\",\"label\":\"Number of T states\",\"path\":\"physicalCounts/breakdown/numTstates\"},{\"description\":\"Number of T factories capable of producing the demanded 68 T states during the algorithm's runtime\",\"explanation\":\"The total number of T factories 12 that are executed in parallel is computed as $\\\\left\\\\lceil\\\\dfrac{68\\\\;\\\\text{T states} \\\\cdot 46us 800ns\\\\;\\\\text{T factory duration}}{1\\\\;\\\\text{T states per T factory} \\\\cdot 277us 200ns\\\\;\\\\text{algorithm runtime}}\\\\right\\\\rceil$\",\"label\":\"Number of T factories\",\"path\":\"physicalCounts/breakdown/numTfactories\"},{\"description\":\"Number of times all T factories are invoked\",\"explanation\":\"In order to prepare the 68 T states, the 12 copies of the T factory are repeatedly invoked 6 times.\",\"label\":\"Number of T factory invocations\",\"path\":\"physicalCounts/breakdown/numTfactoryRuns\"},{\"description\":\"Number of physical qubits for the algorithm after layout\",\"explanation\":\"The 6776 are the product of the 28 logical qubits after layout and the 242 physical qubits that encode a single logical qubit.\",\"label\":\"Physical algorithmic qubits\",\"path\":\"physicalCounts/breakdown/physicalQubitsForAlgorithm\"},{\"description\":\"Number of physical qubits for the T factories\",\"explanation\":\"Each T factory requires 6480 physical qubits and we run 12 in parallel, therefore we need $77760 = 6480 \\\\cdot 12$ qubits.\",\"label\":\"Physical T factory qubits\",\"path\":\"physicalCounts/breakdown/physicalQubitsForTfactories\"},{\"description\":\"The minimum logical qubit error rate required to run the algorithm within the error budget\",\"explanation\":\"The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 28 logical qubits and the total cycle count 63.\",\"label\":\"Required logical qubit error rate\",\"path\":\"physicalCountsFormatted/requiredLogicalQubitErrorRate\"},{\"description\":\"The minimum T state error rate required for distilled T states\",\"explanation\":\"The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 68.\",\"label\":\"Required logical T state error rate\",\"path\":\"physicalCountsFormatted/requiredLogicalTstateErrorRate\"},{\"description\":\"Number of T states to implement a rotation with an arbitrary angle\",\"explanation\":\"The number of T states to implement a rotation with an arbitrary angle is $\\\\lceil 0.53 \\\\log_2(0 / 0) + 5.3\\\\rceil$ [[arXiv:2203.10064](https://arxiv.org/abs/2203.10064)]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.\",\"label\":\"Number of T states per rotation\",\"path\":\"physicalCountsFormatted/numTsPerRotation\"}],\"title\":\"Resource estimates breakdown\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Name of QEC scheme\",\"explanation\":\"You can load pre-defined QEC schemes by using the name `surface_code` or `floquet_code`. The latter only works with Majorana qubits.\",\"label\":\"QEC scheme\",\"path\":\"jobParams/qecScheme/name\"},{\"description\":\"Required code distance for error correction\",\"explanation\":\"The code distance is the smallest odd integer greater or equal to $\\\\dfrac{2\\\\log(0.03 / 0.0000002834467120181406)}{\\\\log(0.01/0.001)} - 1$\",\"label\":\"Code distance\",\"path\":\"logicalQubit/codeDistance\"},{\"description\":\"Number of physical qubits per logical qubit\",\"explanation\":\"The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.\",\"label\":\"Physical qubits\",\"path\":\"logicalQubit/physicalQubits\"},{\"description\":\"Duration of a logical cycle in nanoseconds\",\"explanation\":\"The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.\",\"label\":\"Logical cycle time\",\"path\":\"physicalCountsFormatted/logicalCycleTime\"},{\"description\":\"Logical qubit error rate\",\"explanation\":\"The logical qubit error rate is computed as $0.03 \\\\cdot \\\\left(\\\\dfrac{0.001}{0.01}\\\\right)^\\\\frac{11 + 1}{2}$\",\"label\":\"Logical qubit error rate\",\"path\":\"physicalCountsFormatted/logicalErrorRate\"},{\"description\":\"Crossing prefactor used in QEC scheme\",\"explanation\":\"The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.\",\"label\":\"Crossing prefactor\",\"path\":\"jobParams/qecScheme/crossingPrefactor\"},{\"description\":\"Error correction threshold used in QEC scheme\",\"explanation\":\"The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.\",\"label\":\"Error correction threshold\",\"path\":\"jobParams/qecScheme/errorCorrectionThreshold\"},{\"description\":\"QEC scheme formula used to compute logical cycle time\",\"explanation\":\"This is the formula that is used to compute the logical cycle time 4us 400ns.\",\"label\":\"Logical cycle time formula\",\"path\":\"jobParams/qecScheme/logicalCycleTime\"},{\"description\":\"QEC scheme formula used to compute number of physical qubits per logical qubit\",\"explanation\":\"This is the formula that is used to compute the number of physical qubits per logical qubits 242.\",\"label\":\"Physical qubits formula\",\"path\":\"jobParams/qecScheme/physicalQubitsPerLogicalQubit\"}],\"title\":\"Logical qubit parameters\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of physical qubits for a single T factory\",\"explanation\":\"This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.\",\"label\":\"Physical qubits\",\"path\":\"tfactory/physicalQubits\"},{\"description\":\"Runtime of a single T factory\",\"explanation\":\"The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.\",\"label\":\"Runtime\",\"path\":\"physicalCountsFormatted/tfactoryRuntime\"},{\"description\":\"Number of output T states produced in a single run of T factory\",\"explanation\":\"The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.17e-6.\",\"label\":\"Number of output T states per run\",\"path\":\"tfactory/numTstates\"},{\"description\":\"Number of physical input T states consumed in a single run of a T factory\",\"explanation\":\"This value includes the physical input T states of all copies of the distillation unit in the first round.\",\"label\":\"Number of input T states per run\",\"path\":\"tfactory/numInputTstates\"},{\"description\":\"The number of distillation rounds\",\"explanation\":\"This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.\",\"label\":\"Distillation rounds\",\"path\":\"tfactory/numRounds\"},{\"description\":\"The number of units in each round of distillation\",\"explanation\":\"This is the number of copies for the distillation units per round.\",\"label\":\"Distillation units per round\",\"path\":\"physicalCountsFormatted/numUnitsPerRound\"},{\"description\":\"The types of distillation units\",\"explanation\":\"These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.\",\"label\":\"Distillation units\",\"path\":\"physicalCountsFormatted/unitNamePerRound\"},{\"description\":\"The code distance in each round of distillation\",\"explanation\":\"This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.\",\"label\":\"Distillation code distances\",\"path\":\"physicalCountsFormatted/codeDistancePerRound\"},{\"description\":\"The number of physical qubits used in each round of distillation\",\"explanation\":\"The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.\",\"label\":\"Number of physical qubits per round\",\"path\":\"physicalCountsFormatted/physicalQubitsPerRound\"},{\"description\":\"The runtime of each distillation round\",\"explanation\":\"The runtime of the T factory is the sum of the runtimes in all rounds.\",\"label\":\"Runtime per round\",\"path\":\"physicalCountsFormatted/tfactoryRuntimePerRound\"},{\"description\":\"Logical T state error rate\",\"explanation\":\"This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 7.35e-6.\",\"label\":\"Logical T state error rate\",\"path\":\"physicalCountsFormatted/tstateLogicalErrorRate\"}],\"title\":\"T factory parameters\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of logical qubits in the input quantum program\",\"explanation\":\"We determine 28 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.\",\"label\":\"Logical qubits (pre-layout)\",\"path\":\"logicalCounts/numQubits\"},{\"description\":\"Number of T gates in the input quantum program\",\"explanation\":\"This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.\",\"label\":\"T gates\",\"path\":\"logicalCounts/tCount\"},{\"description\":\"Number of rotation gates in the input quantum program\",\"explanation\":\"This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.\",\"label\":\"Rotation gates\",\"path\":\"logicalCounts/rotationCount\"},{\"description\":\"Depth of rotation gates in the input quantum program\",\"explanation\":\"This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.\",\"label\":\"Rotation depth\",\"path\":\"logicalCounts/rotationDepth\"},{\"description\":\"Number of CCZ-gates in the input quantum program\",\"explanation\":\"This is the number of CCZ gates.\",\"label\":\"CCZ gates\",\"path\":\"logicalCounts/cczCount\"},{\"description\":\"Number of CCiX-gates in the input quantum program\",\"explanation\":\"This is the number of CCiX gates, which applies $-iX$ controlled on two control qubits [[1212.5069](https://arxiv.org/abs/1212.5069)].\",\"label\":\"CCiX gates\",\"path\":\"logicalCounts/ccixCount\"},{\"description\":\"Number of single qubit measurements in the input quantum program\",\"explanation\":\"This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.\",\"label\":\"Measurement operations\",\"path\":\"logicalCounts/measurementCount\"}],\"title\":\"Pre-layout logical resources\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Total error budget for the algorithm\",\"explanation\":\"The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget $\\\\epsilon = \\\\epsilon_{\\\\log} + \\\\epsilon_{\\\\rm dis} + \\\\epsilon_{\\\\rm syn}$ is uniformly distributed and applies to errors $\\\\epsilon_{\\\\log}$ to implement logical qubits, an error budget $\\\\epsilon_{\\\\rm dis}$ to produce T states through distillation, and an error budget $\\\\epsilon_{\\\\rm syn}$ to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets $\\\\epsilon_{\\\\rm dis}$ and $\\\\epsilon_{\\\\rm syn}$ are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.\",\"label\":\"Total error budget\",\"path\":\"physicalCountsFormatted/errorBudget\"},{\"description\":\"Probability of at least one logical error\",\"explanation\":\"This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.\",\"label\":\"Logical error probability\",\"path\":\"physicalCountsFormatted/errorBudgetLogical\"},{\"description\":\"Probability of at least one faulty T distillation\",\"explanation\":\"This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.\",\"label\":\"T distillation error probability\",\"path\":\"physicalCountsFormatted/errorBudgetTstates\"},{\"description\":\"Probability of at least one failed rotation synthesis\",\"explanation\":\"This is one third of the total error budget 1.00e-3.\",\"label\":\"Rotation synthesis error probability\",\"path\":\"physicalCountsFormatted/errorBudgetRotations\"}],\"title\":\"Assumed error budget\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Some descriptive name for the qubit model\",\"explanation\":\"You can load pre-defined qubit parameters by using the names `qubit_gate_ns_e3`, `qubit_gate_ns_e4`, `qubit_gate_us_e3`, `qubit_gate_us_e4`, `qubit_maj_ns_e4`, or `qubit_maj_ns_e6`. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or ¬µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).\",\"label\":\"Qubit name\",\"path\":\"jobParams/qubitParams/name\"},{\"description\":\"Underlying qubit technology (gate-based or Majorana)\",\"explanation\":\"When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either *gate-based* or *Majorana*. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.\",\"label\":\"Instruction set\",\"path\":\"jobParams/qubitParams/instructionSet\"},{\"description\":\"Operation time for single-qubit measurement (t_meas) in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.\",\"label\":\"Single-qubit measurement time\",\"path\":\"jobParams/qubitParams/oneQubitMeasurementTime\"},{\"description\":\"Operation time for single-qubit gate (t_gate) in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.\",\"label\":\"Single-qubit gate time\",\"path\":\"jobParams/qubitParams/oneQubitGateTime\"},{\"description\":\"Operation time for two-qubit gate in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.\",\"label\":\"Two-qubit gate time\",\"path\":\"jobParams/qubitParams/twoQubitGateTime\"},{\"description\":\"Operation time for a T gate\",\"explanation\":\"This is the operation time in nanoseconds to execute a T gate.\",\"label\":\"T gate time\",\"path\":\"jobParams/qubitParams/tGateTime\"},{\"description\":\"Error rate for single-qubit measurement\",\"explanation\":\"This is the probability in which a single-qubit measurement in the Pauli basis may fail.\",\"label\":\"Single-qubit measurement error rate\",\"path\":\"jobParams/qubitParams/oneQubitMeasurementErrorRate\"},{\"description\":\"Error rate for single-qubit Clifford gate (p)\",\"explanation\":\"This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.\",\"label\":\"Single-qubit error rate\",\"path\":\"jobParams/qubitParams/oneQubitGateErrorRate\"},{\"description\":\"Error rate for two-qubit Clifford gate\",\"explanation\":\"This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.\",\"label\":\"Two-qubit error rate\",\"path\":\"jobParams/qubitParams/twoQubitGateErrorRate\"},{\"description\":\"Error rate to prepare single-qubit T state or apply a T gate (p_T)\",\"explanation\":\"This is the probability in which executing a single T gate may fail.\",\"label\":\"T gate error rate\",\"path\":\"jobParams/qubitParams/tGateErrorRate\"}],\"title\":\"Physical qubit parameters\"}]},\"status\":\"success\",\"tfactory\":{\"codeDistancePerRound\":[9],\"logicalErrorRate\":2.165000000000001E-06,\"numInputTstates\":30,\"numRounds\":1,\"numTstates\":1,\"numUnitsPerRound\":[2],\"physicalQubits\":6480,\"physicalQubitsPerRound\":[6480],\"runtime\":46800.0,\"runtimePerRound\":[46800.0],\"unitNamePerRound\":[\"15-to-1 space efficient logical\"]}}", - "text/html": [ - "\r\n", - "
\r\n", - " \r\n", - " Physical resource estimates\r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "
Physical qubits84536\r\n", - "

Number of physical qubits

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This value represents the total number of physical qubits, which is the sum of 6776 physical qubits to implement the algorithm logic, and 77760 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.

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Runtime277us 200ns\r\n", - "

Total runtime

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This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (4us 400ns) multiplied by the 63 logical cycles to run the algorithm. If however the duration of a single T factory (here: 46us 800ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.

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Logical algorithmic qubits28\r\n", - "

Number of logical qubits for the algorithm after layout

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Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the \\(Q_{\\rm alg} = 9\\) logical qubits in the input algorithm, we require in total $2 \\cdot Q_{\\rm alg} + \\lceil \\sqrt{8 \\cdot Q_{\\rm alg}}\\rceil + 1 = 28$ logical qubits.

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Algorithmic depth63\r\n", - "

Number of logical cycles for the algorithm

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To execute the algorithm using Parallel Synthesis Sequential Pauli Computation (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 12 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 5 CCZ and 12 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.

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Logical depth63\r\n", - "

Number of logical cycles performed

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This number is usually equal to the logical depth of the algorithm, which is 63. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.

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Number of T states68\r\n", - "

Number of T states consumed by the algorithm

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To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 5 CCZ and 12 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.

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Number of T factories12\r\n", - "

Number of T factories capable of producing the demanded 68 T states during the algorithm's runtime

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The total number of T factories 12 that are executed in parallel is computed as \\(\\left\\lceil\\dfrac{68\\;\\text{T states} \\cdot 46us 800ns\\;\\text{T factory duration}}{1\\;\\text{T states per T factory} \\cdot 277us 200ns\\;\\text{algorithm runtime}}\\right\\rceil\\)

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Number of T factory invocations6\r\n", - "

Number of times all T factories are invoked

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In order to prepare the 68 T states, the 12 copies of the T factory are repeatedly invoked 6 times.

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Physical algorithmic qubits6776\r\n", - "

Number of physical qubits for the algorithm after layout

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The 6776 are the product of the 28 logical qubits after layout and the 242 physical qubits that encode a single logical qubit.

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Physical T factory qubits77760\r\n", - "

Number of physical qubits for the T factories

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Each T factory requires 6480 physical qubits and we run 12 in parallel, therefore we need $77760 = 6480 \\cdot 12$ qubits.

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Required logical qubit error rate2.83e-7\r\n", - "

The minimum logical qubit error rate required to run the algorithm within the error budget

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The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 28 logical qubits and the total cycle count 63.

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Required logical T state error rate7.35e-6\r\n", - "

The minimum T state error rate required for distilled T states

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The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 68.

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Number of T states per rotationNo rotations in algorithm\r\n", - "

Number of T states to implement a rotation with an arbitrary angle

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The number of T states to implement a rotation with an arbitrary angle is \\(\\lceil 0.53 \\log_2(0 / 0) + 5.3\\rceil\\) [arXiv:2203.10064]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.

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QEC schemesurface_code\r\n", - "

Name of QEC scheme

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You can load pre-defined QEC schemes by using the name surface_code or floquet_code. The latter only works with Majorana qubits.

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Code distance11\r\n", - "

Required code distance for error correction

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The code distance is the smallest odd integer greater or equal to \\(\\dfrac{2\\log(0.03 / 0.0000002834467120181406)}{\\log(0.01/0.001)} - 1\\)

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Physical qubits242\r\n", - "

Number of physical qubits per logical qubit

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The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.

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Logical cycle time4us 400ns\r\n", - "

Duration of a logical cycle in nanoseconds

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The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.

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Logical qubit error rate3.00e-8\r\n", - "

Logical qubit error rate

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The logical qubit error rate is computed as $0.03 \\cdot \\left(\\dfrac{0.001}{0.01}\\right)^\\frac{11 + 1}{2}$

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Crossing prefactor0.03\r\n", - "

Crossing prefactor used in QEC scheme

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The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.

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Error correction threshold0.01\r\n", - "

Error correction threshold used in QEC scheme

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The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.

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Logical cycle time formula(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance\r\n", - "

QEC scheme formula used to compute logical cycle time

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This is the formula that is used to compute the logical cycle time 4us 400ns.

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Physical qubits formula2 * codeDistance * codeDistance\r\n", - "

QEC scheme formula used to compute number of physical qubits per logical qubit

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This is the formula that is used to compute the number of physical qubits per logical qubits 242.

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Physical qubits6480\r\n", - "

Number of physical qubits for a single T factory

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This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.

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Runtime46us 800ns\r\n", - "

Runtime of a single T factory

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The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.

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Number of output T states per run1\r\n", - "

Number of output T states produced in a single run of T factory

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The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.17e-6.

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Number of input T states per run30\r\n", - "

Number of physical input T states consumed in a single run of a T factory

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This value includes the physical input T states of all copies of the distillation unit in the first round.

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Distillation rounds1\r\n", - "

The number of distillation rounds

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This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.

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Distillation units per round2\r\n", - "

The number of units in each round of distillation

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This is the number of copies for the distillation units per round.

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Distillation units15-to-1 space efficient logical\r\n", - "

The types of distillation units

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These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.

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Distillation code distances9\r\n", - "

The code distance in each round of distillation

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This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.

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Number of physical qubits per round6480\r\n", - "

The number of physical qubits used in each round of distillation

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The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.

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Runtime per round46us 800ns\r\n", - "

The runtime of each distillation round

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The runtime of the T factory is the sum of the runtimes in all rounds.

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Logical T state error rate2.17e-6\r\n", - "

Logical T state error rate

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This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 7.35e-6.

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Logical qubits (pre-layout)9\r\n", - "

Number of logical qubits in the input quantum program

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We determine 28 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.

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T gates0\r\n", - "

Number of T gates in the input quantum program

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This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.

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Rotation gates0\r\n", - "

Number of rotation gates in the input quantum program

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This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.

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Rotation depth0\r\n", - "

Depth of rotation gates in the input quantum program

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This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.

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CCZ gates5\r\n", - "

Number of CCZ-gates in the input quantum program

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This is the number of CCZ gates.

\n", - "\r\n", - "
CCiX gates12\r\n", - "

Number of CCiX-gates in the input quantum program

\n", - "\r\n", - "
\r\n", - "

This is the number of CCiX gates, which applies \\(-iX\\) controlled on two control qubits [1212.5069].

\n", - "\r\n", - "
Measurement operations12\r\n", - "

Number of single qubit measurements in the input quantum program

\n", - "\r\n", - "
\r\n", - "

This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.

\n", - "\r\n", - "
\r\n", - "\r\n", - "
\r\n", - " \r\n", - " Assumed error budget\r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "
Total error budget1.00e-3\r\n", - "

Total error budget for the algorithm

\n", - "\r\n", - "
\r\n", - "

The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget \\(\\epsilon = \\epsilon_{\\log} + \\epsilon_{\\rm dis} + \\epsilon_{\\rm syn}\\) is uniformly distributed and applies to errors \\(\\epsilon_{\\log}\\) to implement logical qubits, an error budget \\(\\epsilon_{\\rm dis}\\) to produce T states through distillation, and an error budget \\(\\epsilon_{\\rm syn}\\) to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets \\(\\epsilon_{\\rm dis}\\) and \\(\\epsilon_{\\rm syn}\\) are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.

\n", - "\r\n", - "
Logical error probability5.00e-4\r\n", - "

Probability of at least one logical error

\n", - "\r\n", - "
\r\n", - "

This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.

\n", - "\r\n", - "
T distillation error probability5.00e-4\r\n", - "

Probability of at least one faulty T distillation

\n", - "\r\n", - "
\r\n", - "

This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.

\n", - "\r\n", - "
Rotation synthesis error probability0.00e0\r\n", - "

Probability of at least one failed rotation synthesis

\n", - "\r\n", - "
\r\n", - "

This is one third of the total error budget 1.00e-3.

\n", - "\r\n", - "
\r\n", - "\r\n", - "
\r\n", - " \r\n", - " Physical qubit parameters\r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "
Qubit namequbit_gate_ns_e3\r\n", - "

Some descriptive name for the qubit model

\n", - "\r\n", - "
\r\n", - "

You can load pre-defined qubit parameters by using the names qubit_gate_ns_e3, qubit_gate_ns_e4, qubit_gate_us_e3, qubit_gate_us_e4, qubit_maj_ns_e4, or qubit_maj_ns_e6. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).

\n", - "\r\n", - "
Instruction setGateBased\r\n", - "

Underlying qubit technology (gate-based or Majorana)

\n", - "\r\n", - "
\r\n", - "

When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either gate-based or Majorana. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.

\n", - "\r\n", - "
Single-qubit measurement time100 ns\r\n", - "

Operation time for single-qubit measurement (t_meas) in ns

\n", - "\r\n", - "
\r\n", - "

This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.

\n", - "\r\n", - "
Single-qubit gate time50 ns\r\n", - "

Operation time for single-qubit gate (t_gate) in ns

\n", - "\r\n", - "
\r\n", - "

This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.

\n", - "\r\n", - "
Two-qubit gate time50 ns\r\n", - "

Operation time for two-qubit gate in ns

\n", - "\r\n", - "
\r\n", - "

This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.

\n", - "\r\n", - "
T gate time50 ns\r\n", - "

Operation time for a T gate

\n", - "\r\n", - "
\r\n", - "

This is the operation time in nanoseconds to execute a T gate.

\n", - "\r\n", - "
Single-qubit measurement error rate0.001\r\n", - "

Error rate for single-qubit measurement

\n", - "\r\n", - "
\r\n", - "

This is the probability in which a single-qubit measurement in the Pauli basis may fail.

\n", - "\r\n", - "
Single-qubit error rate0.001\r\n", - "

Error rate for single-qubit Clifford gate (p)

\n", - "\r\n", - "
\r\n", - "

This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.

\n", - "\r\n", - "
Two-qubit error rate0.001\r\n", - "

Error rate for two-qubit Clifford gate

\n", - "\r\n", - "
\r\n", - "

This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.

\n", - "\r\n", - "
T gate error rate0.001\r\n", - "

Error rate to prepare single-qubit T state or apply a T gate (p_T)

\n", - "\r\n", - "
\r\n", - "

This is the probability in which executing a single T gate may fail.

\n", - "\r\n", - "
\r\n", - "
\r\n", - " Assumptions\r\n", - "
    \r\n", - "

  • More details on the following lists of assumptions can be found in the paper Accessing requirements for scaling quantum computers and their applications.

    \n", - "
    • \r\n", - "

  • Uniform independent physical noise. We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.

    \n", - "
    • \r\n", - "

  • Efficient classical computation. We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.

    \n", - "
    • \r\n", - "

  • Extraction circuits for planar quantum ISA. We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).

    \n", - "
    • \r\n", - "

  • Uniform independent logical noise. We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.

    \n", - "
    • \r\n", - "

  • Negligible Clifford costs for synthesis. We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.

    \n", - "
    • \r\n", - "

  • Smooth magic state consumption rate. We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.

    \n", - "
    • \r\n", - "
\r\n" - ], - "text/plain": [ - "{'errorBudget': {'logical': 0.0005, 'rotations': 0.0, 'tstates': 0.0005},\n", - " 'jobParams': {'errorBudget': 0.001,\n", - " 'qecScheme': {'crossingPrefactor': 0.03,\n", - " 'errorCorrectionThreshold': 0.01,\n", - " 'logicalCycleTime': '(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance',\n", - " 'name': 'surface_code',\n", - " 'physicalQubitsPerLogicalQubit': '2 * codeDistance * codeDistance'},\n", - " 'qubitParams': {'instructionSet': 'GateBased',\n", - " 'name': 'qubit_gate_ns_e3',\n", - " 'oneQubitGateErrorRate': 0.001,\n", - " 'oneQubitGateTime': '50 ns',\n", - " 'oneQubitMeasurementErrorRate': 0.001,\n", - " 'oneQubitMeasurementTime': '100 ns',\n", - " 'tGateErrorRate': 0.001,\n", - " 'tGateTime': '50 ns',\n", - " 'twoQubitGateErrorRate': 0.001,\n", - " 'twoQubitGateTime': '50 ns'}},\n", - " 'logicalCounts': {'ccixCount': 12,\n", - " 'cczCount': 5,\n", - " 'measurementCount': 12,\n", - " 'numQubits': 9,\n", - " 'rotationCount': 0,\n", - " 'rotationDepth': 0,\n", - " 'tCount': 0},\n", - " 'logicalQubit': {'codeDistance': 11,\n", - " 'logicalCycleTime': 4400.0,\n", - " 'logicalErrorRate': 3.000000000000002e-08,\n", - " 'physicalQubits': 242},\n", - " 'physicalCounts': {'breakdown': {'algorithmicLogicalDepth': 63,\n", - " 'algorithmicLogicalQubits': 28,\n", - " 'cliffordErrorRate': 0.001,\n", - " 'logicalDepth': 63,\n", - " 'numTfactories': 12,\n", - " 'numTfactoryRuns': 6,\n", - " 'numTsPerRotation': None,\n", - " 'numTstates': 68,\n", - " 'physicalQubitsForAlgorithm': 6776,\n", - " 'physicalQubitsForTfactories': 77760,\n", - " 'requiredLogicalQubitErrorRate': 2.834467120181406e-07,\n", - " 'requiredLogicalTstateErrorRate': 7.3529411764705884e-06},\n", - " 'physicalQubits': 84536,\n", - " 'runtime': 277200},\n", - " 'physicalCountsFormatted': {'codeDistancePerRound': '9',\n", - " 'errorBudget': '1.00e-3',\n", - " 'errorBudgetLogical': '5.00e-4',\n", - " 'errorBudgetRotations': '0.00e0',\n", - " 'errorBudgetTstates': '5.00e-4',\n", - " 'logicalCycleTime': '4us 400ns',\n", - " 'logicalErrorRate': '3.00e-8',\n", - " 'numTsPerRotation': 'No rotations in algorithm',\n", - " 'numUnitsPerRound': '2',\n", - " 'physicalQubitsForTfactoriesPercentage': '91.98 %',\n", - " 'physicalQubitsPerRound': '6480',\n", - " 'requiredLogicalQubitErrorRate': '2.83e-7',\n", - " 'requiredLogicalTstateErrorRate': '7.35e-6',\n", - " 'runtime': '277us 200ns',\n", - " 'tfactoryRuntime': '46us 800ns',\n", - " 'tfactoryRuntimePerRound': '46us 800ns',\n", - " 'tstateLogicalErrorRate': '2.17e-6',\n", - " 'unitNamePerRound': '15-to-1 space efficient logical'},\n", - " 'reportData': {'assumptions': ['_More details on the following lists of assumptions can be found in the paper [Accessing requirements for scaling quantum computers and their applications](https://aka.ms/AQ/RE/Paper)._',\n", - " '**Uniform independent physical noise.** We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.',\n", - " '**Efficient classical computation.** We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.',\n", - " '**Extraction circuits for planar quantum ISA.** We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).',\n", - " '**Uniform independent logical noise.** We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.',\n", - " '**Negligible Clifford costs for synthesis.** We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.',\n", - " '**Smooth magic state consumption rate.** We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.'],\n", - " 'groups': [{'alwaysVisible': True,\n", - " 'entries': [{'description': 'Number of physical qubits',\n", - " 'explanation': 'This value represents the total number of physical qubits, which is the sum of 6776 physical qubits to implement the algorithm logic, and 77760 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.',\n", - " 'label': 'Physical qubits',\n", - " 'path': 'physicalCounts/physicalQubits'},\n", - " {'description': 'Total runtime',\n", - " 'explanation': 'This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (4us 400ns) multiplied by the 63 logical cycles to run the algorithm. If however the duration of a single T factory (here: 46us 800ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.',\n", - " 'label': 'Runtime',\n", - " 'path': 'physicalCountsFormatted/runtime'}],\n", - " 'title': 'Physical resource estimates'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Number of logical qubits for the algorithm after layout',\n", - " 'explanation': 'Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the $Q_{\\\\rm alg} = 9$ logical qubits in the input algorithm, we require in total $2 \\\\cdot Q_{\\\\rm alg} + \\\\lceil \\\\sqrt{8 \\\\cdot Q_{\\\\rm alg}}\\\\rceil + 1 = 28$ logical qubits.',\n", - " 'label': 'Logical algorithmic qubits',\n", - " 'path': 'physicalCounts/breakdown/algorithmicLogicalQubits'},\n", - " {'description': 'Number of logical cycles for the algorithm',\n", - " 'explanation': 'To execute the algorithm using _Parallel Synthesis Sequential Pauli Computation_ (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 12 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 5 CCZ and 12 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.',\n", - " 'label': 'Algorithmic depth',\n", - " 'path': 'physicalCounts/breakdown/algorithmicLogicalDepth'},\n", - " {'description': 'Number of logical cycles performed',\n", - " 'explanation': \"This number is usually equal to the logical depth of the algorithm, which is 63. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.\",\n", - " 'label': 'Logical depth',\n", - " 'path': 'physicalCounts/breakdown/logicalDepth'},\n", - " {'description': 'Number of T states consumed by the algorithm',\n", - " 'explanation': 'To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 5 CCZ and 12 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.',\n", - " 'label': 'Number of T states',\n", - " 'path': 'physicalCounts/breakdown/numTstates'},\n", - " {'description': \"Number of T factories capable of producing the demanded 68 T states during the algorithm's runtime\",\n", - " 'explanation': 'The total number of T factories 12 that are executed in parallel is computed as $\\\\left\\\\lceil\\\\dfrac{68\\\\;\\\\text{T states} \\\\cdot 46us 800ns\\\\;\\\\text{T factory duration}}{1\\\\;\\\\text{T states per T factory} \\\\cdot 277us 200ns\\\\;\\\\text{algorithm runtime}}\\\\right\\\\rceil$',\n", - " 'label': 'Number of T factories',\n", - " 'path': 'physicalCounts/breakdown/numTfactories'},\n", - " {'description': 'Number of times all T factories are invoked',\n", - " 'explanation': 'In order to prepare the 68 T states, the 12 copies of the T factory are repeatedly invoked 6 times.',\n", - " 'label': 'Number of T factory invocations',\n", - " 'path': 'physicalCounts/breakdown/numTfactoryRuns'},\n", - " {'description': 'Number of physical qubits for the algorithm after layout',\n", - " 'explanation': 'The 6776 are the product of the 28 logical qubits after layout and the 242 physical qubits that encode a single logical qubit.',\n", - " 'label': 'Physical algorithmic qubits',\n", - " 'path': 'physicalCounts/breakdown/physicalQubitsForAlgorithm'},\n", - " {'description': 'Number of physical qubits for the T factories',\n", - " 'explanation': 'Each T factory requires 6480 physical qubits and we run 12 in parallel, therefore we need $77760 = 6480 \\\\cdot 12$ qubits.',\n", - " 'label': 'Physical T factory qubits',\n", - " 'path': 'physicalCounts/breakdown/physicalQubitsForTfactories'},\n", - " {'description': 'The minimum logical qubit error rate required to run the algorithm within the error budget',\n", - " 'explanation': 'The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 28 logical qubits and the total cycle count 63.',\n", - " 'label': 'Required logical qubit error rate',\n", - " 'path': 'physicalCountsFormatted/requiredLogicalQubitErrorRate'},\n", - " {'description': 'The minimum T state error rate required for distilled T states',\n", - " 'explanation': 'The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 68.',\n", - " 'label': 'Required logical T state error rate',\n", - " 'path': 'physicalCountsFormatted/requiredLogicalTstateErrorRate'},\n", - " {'description': 'Number of T states to implement a rotation with an arbitrary angle',\n", - " 'explanation': 'The number of T states to implement a rotation with an arbitrary angle is $\\\\lceil 0.53 \\\\log_2(0 / 0) + 5.3\\\\rceil$ [[arXiv:2203.10064](https://arxiv.org/abs/2203.10064)]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.',\n", - " 'label': 'Number of T states per rotation',\n", - " 'path': 'physicalCountsFormatted/numTsPerRotation'}],\n", - " 'title': 'Resource estimates breakdown'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Name of QEC scheme',\n", - " 'explanation': 'You can load pre-defined QEC schemes by using the name `surface_code` or `floquet_code`. The latter only works with Majorana qubits.',\n", - " 'label': 'QEC scheme',\n", - " 'path': 'jobParams/qecScheme/name'},\n", - " {'description': 'Required code distance for error correction',\n", - " 'explanation': 'The code distance is the smallest odd integer greater or equal to $\\\\dfrac{2\\\\log(0.03 / 0.0000002834467120181406)}{\\\\log(0.01/0.001)} - 1$',\n", - " 'label': 'Code distance',\n", - " 'path': 'logicalQubit/codeDistance'},\n", - " {'description': 'Number of physical qubits per logical qubit',\n", - " 'explanation': 'The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.',\n", - " 'label': 'Physical qubits',\n", - " 'path': 'logicalQubit/physicalQubits'},\n", - " {'description': 'Duration of a logical cycle in nanoseconds',\n", - " 'explanation': 'The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.',\n", - " 'label': 'Logical cycle time',\n", - " 'path': 'physicalCountsFormatted/logicalCycleTime'},\n", - " {'description': 'Logical qubit error rate',\n", - " 'explanation': 'The logical qubit error rate is computed as $0.03 \\\\cdot \\\\left(\\\\dfrac{0.001}{0.01}\\\\right)^\\\\frac{11 + 1}{2}$',\n", - " 'label': 'Logical qubit error rate',\n", - " 'path': 'physicalCountsFormatted/logicalErrorRate'},\n", - " {'description': 'Crossing prefactor used in QEC scheme',\n", - " 'explanation': 'The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.',\n", - " 'label': 'Crossing prefactor',\n", - " 'path': 'jobParams/qecScheme/crossingPrefactor'},\n", - " {'description': 'Error correction threshold used in QEC scheme',\n", - " 'explanation': 'The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.',\n", - " 'label': 'Error correction threshold',\n", - " 'path': 'jobParams/qecScheme/errorCorrectionThreshold'},\n", - " {'description': 'QEC scheme formula used to compute logical cycle time',\n", - " 'explanation': 'This is the formula that is used to compute the logical cycle time 4us 400ns.',\n", - " 'label': 'Logical cycle time formula',\n", - " 'path': 'jobParams/qecScheme/logicalCycleTime'},\n", - " {'description': 'QEC scheme formula used to compute number of physical qubits per logical qubit',\n", - " 'explanation': 'This is the formula that is used to compute the number of physical qubits per logical qubits 242.',\n", - " 'label': 'Physical qubits formula',\n", - " 'path': 'jobParams/qecScheme/physicalQubitsPerLogicalQubit'}],\n", - " 'title': 'Logical qubit parameters'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Number of physical qubits for a single T factory',\n", - " 'explanation': 'This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.',\n", - " 'label': 'Physical qubits',\n", - " 'path': 'tfactory/physicalQubits'},\n", - " {'description': 'Runtime of a single T factory',\n", - " 'explanation': 'The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.',\n", - " 'label': 'Runtime',\n", - " 'path': 'physicalCountsFormatted/tfactoryRuntime'},\n", - " {'description': 'Number of output T states produced in a single run of T factory',\n", - " 'explanation': 'The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.17e-6.',\n", - " 'label': 'Number of output T states per run',\n", - " 'path': 'tfactory/numTstates'},\n", - " {'description': 'Number of physical input T states consumed in a single run of a T factory',\n", - " 'explanation': 'This value includes the physical input T states of all copies of the distillation unit in the first round.',\n", - " 'label': 'Number of input T states per run',\n", - " 'path': 'tfactory/numInputTstates'},\n", - " {'description': 'The number of distillation rounds',\n", - " 'explanation': 'This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.',\n", - " 'label': 'Distillation rounds',\n", - " 'path': 'tfactory/numRounds'},\n", - " {'description': 'The number of units in each round of distillation',\n", - " 'explanation': 'This is the number of copies for the distillation units per round.',\n", - " 'label': 'Distillation units per round',\n", - " 'path': 'physicalCountsFormatted/numUnitsPerRound'},\n", - " {'description': 'The types of distillation units',\n", - " 'explanation': 'These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.',\n", - " 'label': 'Distillation units',\n", - " 'path': 'physicalCountsFormatted/unitNamePerRound'},\n", - " {'description': 'The code distance in each round of distillation',\n", - " 'explanation': 'This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.',\n", - " 'label': 'Distillation code distances',\n", - " 'path': 'physicalCountsFormatted/codeDistancePerRound'},\n", - " {'description': 'The number of physical qubits used in each round of distillation',\n", - " 'explanation': 'The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.',\n", - " 'label': 'Number of physical qubits per round',\n", - " 'path': 'physicalCountsFormatted/physicalQubitsPerRound'},\n", - " {'description': 'The runtime of each distillation round',\n", - " 'explanation': 'The runtime of the T factory is the sum of the runtimes in all rounds.',\n", - " 'label': 'Runtime per round',\n", - " 'path': 'physicalCountsFormatted/tfactoryRuntimePerRound'},\n", - " {'description': 'Logical T state error rate',\n", - " 'explanation': 'This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 7.35e-6.',\n", - " 'label': 'Logical T state error rate',\n", - " 'path': 'physicalCountsFormatted/tstateLogicalErrorRate'}],\n", - " 'title': 'T factory parameters'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Number of logical qubits in the input quantum program',\n", - " 'explanation': 'We determine 28 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.',\n", - " 'label': 'Logical qubits (pre-layout)',\n", - " 'path': 'logicalCounts/numQubits'},\n", - " {'description': 'Number of T gates in the input quantum program',\n", - " 'explanation': 'This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.',\n", - " 'label': 'T gates',\n", - " 'path': 'logicalCounts/tCount'},\n", - " {'description': 'Number of rotation gates in the input quantum program',\n", - " 'explanation': 'This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.',\n", - " 'label': 'Rotation gates',\n", - " 'path': 'logicalCounts/rotationCount'},\n", - " {'description': 'Depth of rotation gates in the input quantum program',\n", - " 'explanation': 'This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.',\n", - " 'label': 'Rotation depth',\n", - " 'path': 'logicalCounts/rotationDepth'},\n", - " {'description': 'Number of CCZ-gates in the input quantum program',\n", - " 'explanation': 'This is the number of CCZ gates.',\n", - " 'label': 'CCZ gates',\n", - " 'path': 'logicalCounts/cczCount'},\n", - " {'description': 'Number of CCiX-gates in the input quantum program',\n", - " 'explanation': 'This is the number of CCiX gates, which applies $-iX$ controlled on two control qubits [[1212.5069](https://arxiv.org/abs/1212.5069)].',\n", - " 'label': 'CCiX gates',\n", - " 'path': 'logicalCounts/ccixCount'},\n", - " {'description': 'Number of single qubit measurements in the input quantum program',\n", - " 'explanation': 'This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.',\n", - " 'label': 'Measurement operations',\n", - " 'path': 'logicalCounts/measurementCount'}],\n", - " 'title': 'Pre-layout logical resources'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Total error budget for the algorithm',\n", - " 'explanation': \"The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget $\\\\epsilon = \\\\epsilon_{\\\\log} + \\\\epsilon_{\\\\rm dis} + \\\\epsilon_{\\\\rm syn}$ is uniformly distributed and applies to errors $\\\\epsilon_{\\\\log}$ to implement logical qubits, an error budget $\\\\epsilon_{\\\\rm dis}$ to produce T states through distillation, and an error budget $\\\\epsilon_{\\\\rm syn}$ to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets $\\\\epsilon_{\\\\rm dis}$ and $\\\\epsilon_{\\\\rm syn}$ are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.\",\n", - " 'label': 'Total error budget',\n", - " 'path': 'physicalCountsFormatted/errorBudget'},\n", - " {'description': 'Probability of at least one logical error',\n", - " 'explanation': 'This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.',\n", - " 'label': 'Logical error probability',\n", - " 'path': 'physicalCountsFormatted/errorBudgetLogical'},\n", - " {'description': 'Probability of at least one faulty T distillation',\n", - " 'explanation': 'This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.',\n", - " 'label': 'T distillation error probability',\n", - " 'path': 'physicalCountsFormatted/errorBudgetTstates'},\n", - " {'description': 'Probability of at least one failed rotation synthesis',\n", - " 'explanation': 'This is one third of the total error budget 1.00e-3.',\n", - " 'label': 'Rotation synthesis error probability',\n", - " 'path': 'physicalCountsFormatted/errorBudgetRotations'}],\n", - " 'title': 'Assumed error budget'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Some descriptive name for the qubit model',\n", - " 'explanation': 'You can load pre-defined qubit parameters by using the names `qubit_gate_ns_e3`, `qubit_gate_ns_e4`, `qubit_gate_us_e3`, `qubit_gate_us_e4`, `qubit_maj_ns_e4`, or `qubit_maj_ns_e6`. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).',\n", - " 'label': 'Qubit name',\n", - " 'path': 'jobParams/qubitParams/name'},\n", - " {'description': 'Underlying qubit technology (gate-based or Majorana)',\n", - " 'explanation': 'When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either *gate-based* or *Majorana*. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.',\n", - " 'label': 'Instruction set',\n", - " 'path': 'jobParams/qubitParams/instructionSet'},\n", - " {'description': 'Operation time for single-qubit measurement (t_meas) in ns',\n", - " 'explanation': 'This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.',\n", - " 'label': 'Single-qubit measurement time',\n", - " 'path': 'jobParams/qubitParams/oneQubitMeasurementTime'},\n", - " {'description': 'Operation time for single-qubit gate (t_gate) in ns',\n", - " 'explanation': 'This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.',\n", - " 'label': 'Single-qubit gate time',\n", - " 'path': 'jobParams/qubitParams/oneQubitGateTime'},\n", - " {'description': 'Operation time for two-qubit gate in ns',\n", - " 'explanation': 'This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.',\n", - " 'label': 'Two-qubit gate time',\n", - " 'path': 'jobParams/qubitParams/twoQubitGateTime'},\n", - " {'description': 'Operation time for a T gate',\n", - " 'explanation': 'This is the operation time in nanoseconds to execute a T gate.',\n", - " 'label': 'T gate time',\n", - " 'path': 'jobParams/qubitParams/tGateTime'},\n", - " {'description': 'Error rate for single-qubit measurement',\n", - " 'explanation': 'This is the probability in which a single-qubit measurement in the Pauli basis may fail.',\n", - " 'label': 'Single-qubit measurement error rate',\n", - " 'path': 'jobParams/qubitParams/oneQubitMeasurementErrorRate'},\n", - " {'description': 'Error rate for single-qubit Clifford gate (p)',\n", - " 'explanation': 'This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.',\n", - " 'label': 'Single-qubit error rate',\n", - " 'path': 'jobParams/qubitParams/oneQubitGateErrorRate'},\n", - " {'description': 'Error rate for two-qubit Clifford gate',\n", - " 'explanation': 'This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.',\n", - " 'label': 'Two-qubit error rate',\n", - " 'path': 'jobParams/qubitParams/twoQubitGateErrorRate'},\n", - " {'description': 'Error rate to prepare single-qubit T state or apply a T gate (p_T)',\n", - " 'explanation': 'This is the probability in which executing a single T gate may fail.',\n", - " 'label': 'T gate error rate',\n", - " 'path': 'jobParams/qubitParams/tGateErrorRate'}],\n", - " 'title': 'Physical qubit parameters'}]},\n", - " 'status': 'success',\n", - " 'tfactory': {'codeDistancePerRound': [9],\n", - " 'logicalErrorRate': 2.165000000000001e-06,\n", - " 'numInputTstates': 30,\n", - " 'numRounds': 1,\n", - " 'numTstates': 1,\n", - " 'numUnitsPerRound': [2],\n", - " 'physicalQubits': 6480,\n", - " 'physicalQubitsPerRound': [6480],\n", - " 'runtime': 46800.0,\n", - " 'runtimePerRound': [46800.0],\n", - " 'unitNamePerRound': ['15-to-1 space efficient logical']}}" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# If you need to pull up the results of an old job, use its job ID with qsharp.azure.output command\n", "# result = qsharp.azure.output(\"...\")\n", @@ -3255,7 +386,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -3281,7 +412,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "metadata": { "jupyter": { "outputs_hidden": false, @@ -3293,54 +424,16 @@ } } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Logical algorithmic qubits = 28\n", - "Algorithmic depth = 63\n", - "Score = 1764\n" - ] - }, - { - "data": { - "text/plain": [ - "1764" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "evaluate_results(result)" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "application/x-qsharp-data": "{\"Html\":\"
\"}", - "text/html": [ - "
" - ], - "text/plain": [ - "DisplayableHtmlElement { Html =
}" - ] - }, - "metadata": { - "application/x-qsharp-data": {}, - "text/html": {}, - "text/plain": {} - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "%trace Task2_ResourceEstimationWrapper" ] From ee79630440ff10a829adb2b620175b9bb9c2ffbc Mon Sep 17 00:00:00 2001 From: Michael Papadopoulos Date: Sat, 28 Jan 2023 16:50:01 -0500 Subject: [PATCH 07/13] fix name --- .../iQuHack-challenge-2023-task1-checkpoint.ipynb | 2 +- iQuHack-challenge-2023-task1.ipynb | 2 +- 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb b/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb index 7607d81..3dbe239 100644 --- a/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb +++ b/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb @@ -101,7 +101,7 @@ }, "outputs": [], "source": [ - "teamname=\"SAMYL\" # Update this field with your team name\n", + "teamname=\"Quantum Wranglers\" # Update this field with your team name\n", "task=[\"task1\"]\n", "slack_id=\"U04JVDTAG4E\" # Update this field with Slack ID of the person who worked on this task as the troubleshooting contact" ] diff --git a/iQuHack-challenge-2023-task1.ipynb b/iQuHack-challenge-2023-task1.ipynb index 7607d81..3dbe239 100644 --- a/iQuHack-challenge-2023-task1.ipynb +++ b/iQuHack-challenge-2023-task1.ipynb @@ -101,7 +101,7 @@ }, "outputs": [], "source": [ - "teamname=\"SAMYL\" # Update this field with your team name\n", + "teamname=\"Quantum Wranglers\" # Update this field with your team name\n", "task=[\"task1\"]\n", "slack_id=\"U04JVDTAG4E\" # Update this field with Slack ID of the person who worked on this task as the troubleshooting contact" ] From 0eae4fecf2e2e8c5694ce2f9807b7adfc2052a2f Mon Sep 17 00:00:00 2001 From: Mariia Mykhailova Date: Sat, 28 Jan 2023 09:34:45 -0800 Subject: [PATCH 08/13] Remove "planning" from qBraid URL --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 8423dda..58743d7 100644 --- a/README.md +++ b/README.md @@ -33,7 +33,7 @@ You'll need to rewrite the code so that it maintains its correctness, but requir ## Working on qBraid and submitting the tasks -[](https://account.qbraid.com?gitHubUrl=https://github.com/iQuHACK/2023_planning_microsoft.git) +[](https://account.qbraid.com?gitHubUrl=https://github.com/iQuHACK/2023_microsoft.git) 1. If you're working on qBraid, first fork this repository and click the above `Launch on qBraid` button. It will take you to your qBraid Lab with the repository cloned. 2. Once cloned, open terminal (first icon in the **Other** column in Launcher) and `cd` into this repo. Set the repo's remote origin using the git clone url you copied in Step 1, and then create a new branch for your team: ```bash From c28bc371be7b3655a81be1fa15144c1cb9e07e27 Mon Sep 17 00:00:00 2001 From: Michael Papadopoulos Date: Sat, 28 Jan 2023 20:41:47 -0500 Subject: [PATCH 09/13] Clear --- ...Hack-challenge-2023-task1-checkpoint.ipynb | 7 +++++++ iQuHack-challenge-2023-task1.ipynb | 7 +++++++ obj/__entrypoint__.dll | Bin 322048 -> 216576 bytes obj/__entrypoint__snippets__.dll | Bin 86528 -> 54784 bytes obj/__snippets__.dll | Bin 86528 -> 54272 bytes 5 files changed, 14 insertions(+) diff --git a/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb b/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb index 3dbe239..cccc2e7 100644 --- a/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb +++ b/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb @@ -400,6 +400,13 @@ "evaluate_results(result)" ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, { "cell_type": "code", "execution_count": null, diff --git a/iQuHack-challenge-2023-task1.ipynb b/iQuHack-challenge-2023-task1.ipynb index 3dbe239..cccc2e7 100644 --- a/iQuHack-challenge-2023-task1.ipynb +++ b/iQuHack-challenge-2023-task1.ipynb @@ -400,6 +400,13 @@ "evaluate_results(result)" ] }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, { "cell_type": "code", "execution_count": null, diff --git a/obj/__entrypoint__.dll b/obj/__entrypoint__.dll index c60971040ddd7625dcaaf0e7b1fbe0ccddc5ee5a..b9827133de8f3bc5e7870a5ae5b68a25e5d81091 100644 GIT binary patch delta 25627 zcmcJ231C#!)&IF~CNq=CJ|Q6q+Yk~6Sug=2Vc(Y^AYl=Z00~Keuq7m6GvEsf2r3mE zb)a>@H$;UmkC4eoR%iPno7O9ZqaQQsY3&Ttg%qku&Zz8a zN4JNg8>=J|`Q2=pmt_duhz#+pSB#Hky(m;zlrtsX4t%06SQ_iFG|+q+WiR(bA4}BZ zX(~eN>28IZiUHEx35lJPAjh)sczrqyL%WM|I$=3^yiFxgf|!A?sbA=)MY$#%6$a%| 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zK)0GxIWAm8J|?i1kB}g#kit5%d+Ea5?gSQ1+3pcMc5ooDJ)8>sGfd@tu43cB!q{CROPn(Oid z+9yk1-YJ*8(#X+|Rvi40wpR>Cxh=Mj8s5l5Zsi5H?8ul~V)0Ld``(=348`J%7jk9% zhIg(Id>BWtx5i_8#pj(;MUdjTcC`4sTk?urG(n8-Ei#D~*BH{zj##P;zL*OU&y=xJ zDR-%TMuRQpjN?zy;ZLCpo$*pK?v=t7i|;5rj!Q@J96nZ43qgD+mNSOb1zE3D9yv8W z1vPXG$hcd|S8?AUz1_Q*rp}xMOw6uIU@T{f3 Rb-CsK Date: Sat, 28 Jan 2023 20:46:01 -0500 Subject: [PATCH 10/13] clear --- .../iQuHack-challenge-2023-task1-checkpoint.ipynb | 14 -------------- iQuHack-challenge-2023-task1.ipynb | 14 -------------- 2 files changed, 28 deletions(-) diff --git a/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb b/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb index cccc2e7..afbfe30 100644 --- a/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb +++ b/.ipynb_checkpoints/iQuHack-challenge-2023-task1-checkpoint.ipynb @@ -399,20 +399,6 @@ "source": [ "evaluate_results(result)" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { diff --git a/iQuHack-challenge-2023-task1.ipynb b/iQuHack-challenge-2023-task1.ipynb index cccc2e7..afbfe30 100644 --- a/iQuHack-challenge-2023-task1.ipynb +++ b/iQuHack-challenge-2023-task1.ipynb @@ -399,20 +399,6 @@ "source": [ "evaluate_results(result)" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { From 2e498bef70fb3ef8c000ba4b83cf10ad17421a47 Mon Sep 17 00:00:00 2001 From: Michael Papadopoulos Date: Sat, 28 Jan 2023 23:49:48 -0500 Subject: [PATCH 11/13] Task 7 --- iQuHack-challenge-2023-task7.ipynb | 4629 +++++++++++++++++++++++++++- obj/__entrypoint__.dll | Bin 216576 -> 321536 bytes obj/__entrypoint__snippets__.dll | Bin 54784 -> 51200 bytes obj/__snippets__.dll | Bin 54272 -> 50688 bytes 4 files changed, 4589 insertions(+), 40 deletions(-) diff --git a/iQuHack-challenge-2023-task7.ipynb b/iQuHack-challenge-2023-task7.ipynb index 2670c29..2f0c09e 100644 --- a/iQuHack-challenge-2023-task7.ipynb +++ b/iQuHack-challenge-2023-task7.ipynb @@ -34,9 +34,8 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 48, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -47,7 +46,47 @@ } } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[\n", + " {\n", + " \"cloudName\": \"AzureCloud\",\n", + " \"homeTenantId\": \"aaf653e1-0bcd-4c2c-8658-12eb03e15774\",\n", + " \"id\": \"6d61051a-6e40-4845-a03a-3c5160bb5629\",\n", + " \"isDefault\": true,\n", + " \"managedByTenants\": [\n", + " {\n", + " \"tenantId\": \"d0ecd01b-d782-448e-bae0-c3cad0e0543a\"\n", + " },\n", + " {\n", + " \"tenantId\": \"94c4857e-1130-4ab8-8eac-069b40c9db20\"\n", + " },\n", + " {\n", + " \"tenantId\": \"f702a9dc-ae48-4dc7-8f0a-8155a6dfa4e5\"\n", + " }\n", + " ],\n", + " \"name\": \"Azure for Students\",\n", + " \"state\": \"Enabled\",\n", + " \"tenantId\": \"aaf653e1-0bcd-4c2c-8658-12eb03e15774\",\n", + " \"user\": {\n", + " \"name\": \"papadm2@rpi.edu\",\n", + " \"type\": \"user\"\n", + " }\n", + " }\n", + "]\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING: A web browser has been opened at https://login.microsoftonline.com/organizations/oauth2/v2.0/authorize. Please continue the login in the web browser. If no web browser is available or if the web browser fails to open, use device code flow with `az login --use-device-code`.\n" + ] + } + ], "source": [ "!az login" ] @@ -67,9 +106,8 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 49, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -89,9 +127,8 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 50, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -104,16 +141,15 @@ }, "outputs": [], "source": [ - "teamname=\"msft_is_the_best\" # Update this field with your team name\n", + "teamname=\"Quantum Wranglers\" # Update this field with your team name\n", "task=[\"task7\"]\n", - "slack_id=\"myslackid\" # Update this field with Slack ID of the person who worked on this task as the troubleshooting contact" + "slack_id=\"U04JVDTAG4E\" # Update this field with Slack ID of the person who worked on this task as the troubleshooting contact" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 52, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -148,9 +184,8 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 62, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -181,9 +216,8 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 63, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -238,9 +272,8 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 64, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -251,7 +284,3374 @@ } } }, - "outputs": [], + "outputs": [ + { + "data": { + "application/x-qsharp-data": 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Qubit IDs0, 1, 2, 3, 4, 5, 6, 7
Basis state (bitstring)AmplitudeMeas. Pr.
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$\\left|00110110\\right\\rangle$$0.0884 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|01011010\\right\\rangle$$0.0884 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|1001111100000000\\right\\rangle$$0.0884 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|10100000\\right\\rangle$$0.0884 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|10100010\\right\\rangle$$0.0884 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|1010010100000000\\right\\rangle$$0.0884 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|1010011100000000\\right\\rangle$$0.0884 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|10101000\\right\\rangle$$0.0884 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|10101010\\right\\rangle$$0.0884 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|10101100\\right\\rangle$$0.0884 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|10101110\\right\\rangle$$0.0884 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|10110000\\right\\rangle$$0.0884 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|1011001100000000\\right\\rangle$$0.0884 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|10110100\\right\\rangle$$0.0884 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|10110110\\right\\rangle$$0.0884 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|10111000\\right\\rangle$$0.0884 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|10111010\\right\\rangle$$0.0884 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|11000000\\right\\rangle$$0.0884 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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$\\left|11000100\\right\\rangle$$0.0884 + 0.0000 i$\r\n", + " \r\n", + " \r\n", + "

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"output_type": "execute_result" + } + ], "source": [ "# Note that in the output of this cell the target qubit corresponds to the rightmost bit\n", "qsharp.config[\"dump.basisStateLabelingConvention\"]=\"Bitstring\"\n", @@ -276,9 +3676,8 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 65, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -289,21 +3688,71 @@ } } }, - "outputs": [], + "outputs": [ + { + "data": { + "application/x-qsharp-data": "\"Connecting to Azure Quantum...\"", + "text/plain": [ + "Connecting to Azure Quantum..." + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Authenticated using Azure.Identity.AzureCliCredential\n", + "\n", + "\n", + "Connected to Azure Quantum workspace iQuHack-Workspace-micpap25 in location eastus.\n" + ] + }, + { + "data": { + "text/plain": [ + "[{'id': 'ionq.qpu', 'current_availability': {}, 'average_queue_time': 302694},\n", + " {'id': 'ionq.qpu.aria-1', 'current_availability': {}, 'average_queue_time': 356530},\n", + " {'id': 'ionq.simulator', 'current_availability': {}, 'average_queue_time': 2},\n", + " {'id': 'microsoft.estimator', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.hqs-lt-s1', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.hqs-lt-s1-apival', 'current_availability': {}, 'average_queue_time': 1},\n", + " {'id': 'quantinuum.hqs-lt-s2', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.hqs-lt-s2-apival', 'current_availability': {}, 'average_queue_time': 1},\n", + " {'id': 'quantinuum.hqs-lt-s1-sim', 'current_availability': {}, 'average_queue_time': 70},\n", + " {'id': 'quantinuum.hqs-lt-s2-sim', 'current_availability': {}, 'average_queue_time': 199},\n", + " {'id': 'quantinuum.hqs-lt', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.qpu.h1-1', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.sim.h1-1sc', 'current_availability': {}, 'average_queue_time': 1},\n", + " {'id': 'quantinuum.qpu.h1-2', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'quantinuum.sim.h1-2sc', 'current_availability': {}, 'average_queue_time': 1},\n", + " {'id': 'quantinuum.sim.h1-1e', 'current_availability': {}, 'average_queue_time': 70},\n", + " {'id': 'quantinuum.sim.h1-2e', 'current_availability': {}, 'average_queue_time': 199},\n", + " {'id': 'quantinuum.qpu.h1', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'rigetti.sim.qvm', 'current_availability': {}, 'average_queue_time': 5},\n", + " {'id': 'rigetti.qpu.aspen-11', 'current_availability': {}, 'average_queue_time': 0},\n", + " {'id': 'rigetti.qpu.aspen-m-2', 'current_availability': {}, 'average_queue_time': 5},\n", + " {'id': 'rigetti.qpu.aspen-m-3', 'current_availability': {}, 'average_queue_time': 5}]" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# If you're using this notebook in Azure Quantum hosted notebooks, remove the credential=\"CLI\" parameter!\n", "# If you're using this notebook in qBraid, keep it\n", "qsharp.azure.connect(\n", - " resourceId=\"...\",\n", - " location=\"...\",\n", - " credential=\"CLI\")" + " resourceId=\"/subscriptions/6d61051a-6e40-4845-a03a-3c5160bb5629/resourceGroups/AzureQuantum/providers/Microsoft.Quantum/Workspaces/iQuHack-Workspace-micpap25\",\n", + " location=\"East US\")" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 66, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -314,16 +3763,34 @@ } } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Loading package Microsoft.Quantum.Providers.Core and dependencies...\r\n", + "Active target is now microsoft.estimator\r\n" + ] + }, + { + "data": { + "text/plain": [ + "{'id': 'microsoft.estimator', 'current_availability': {}, 'average_queue_time': 0}" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "qsharp.azure.target(\"microsoft.estimator\")" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 67, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -334,7 +3801,21 @@ } } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Submitting Task7_ResourceEstimationWrapper to target microsoft.estimator...\n", + "Job successfully submitted.\n", + " Job name: RE for the task 7\n", + " Job ID: 5600345c-c75e-4170-a4e5-4937240ce0e0\n", + "Waiting up to 30 seconds for Azure Quantum job to complete...\n", + "[11:46:30 PM] Current job status: Executing\n", + "[11:46:35 PM] Current job status: Succeeded\n" + ] + } + ], "source": [ "# Update job name to a more descriptive string to make it easier to find it in Job Management tab later\n", "result = qsharp.azure.execute(Task7_ResourceEstimationWrapper, jobName=\"RE for the task 7\")" @@ -342,9 +3823,8 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 68, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -355,7 +3835,1051 @@ } } }, - "outputs": [], + "outputs": [ + { + "data": { + "application/x-qsharp-data": "{\"errorBudget\":{\"logical\":0.0005,\"rotations\":0.0,\"tstates\":0.0005},\"jobParams\":{\"errorBudget\":0.001,\"qecScheme\":{\"crossingPrefactor\":0.03,\"errorCorrectionThreshold\":0.01,\"logicalCycleTime\":\"(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance\",\"name\":\"surface_code\",\"physicalQubitsPerLogicalQubit\":\"2 * codeDistance * codeDistance\"},\"qubitParams\":{\"instructionSet\":\"GateBased\",\"name\":\"qubit_gate_ns_e3\",\"oneQubitGateErrorRate\":0.001,\"oneQubitGateTime\":\"50 ns\",\"oneQubitMeasurementErrorRate\":0.001,\"oneQubitMeasurementTime\":\"100 ns\",\"tGateErrorRate\":0.001,\"tGateTime\":\"50 ns\",\"twoQubitGateErrorRate\":0.001,\"twoQubitGateTime\":\"50 ns\"}},\"logicalCounts\":{\"ccixCount\":155,\"cczCount\":31,\"measurementCount\":155,\"numQubits\":13,\"rotationCount\":0,\"rotationDepth\":0,\"tCount\":0},\"logicalQubit\":{\"codeDistance\":13,\"logicalCycleTime\":5200.0,\"logicalErrorRate\":3.000000000000002E-09,\"physicalQubits\":338},\"physicalCounts\":{\"breakdown\":{\"algorithmicLogicalDepth\":713,\"algorithmicLogicalQubits\":38,\"cliffordErrorRate\":0.001,\"logicalDepth\":713,\"numTfactories\":12,\"numTfactoryRuns\":62,\"numTsPerRotation\":null,\"numTstates\":744,\"physicalQubitsForAlgorithm\":12844,\"physicalQubitsForTfactories\":116160,\"requiredLogicalQubitErrorRate\":1.845427031815162E-08,\"requiredLogicalTstateErrorRate\":6.720430107526882E-07},\"physicalQubits\":129004,\"runtime\":3707600},\"physicalCountsFormatted\":{\"codeDistancePerRound\":\"11\",\"errorBudget\":\"1.00e-3\",\"errorBudgetLogical\":\"5.00e-4\",\"errorBudgetRotations\":\"0.00e0\",\"errorBudgetTstates\":\"5.00e-4\",\"logicalCycleTime\":\"5us 200ns\",\"logicalErrorRate\":\"3.00e-9\",\"numTsPerRotation\":\"No rotations in algorithm\",\"numUnitsPerRound\":\"2\",\"physicalQubitsForTfactoriesPercentage\":\"90.04 %\",\"physicalQubitsPerRound\":\"9680\",\"requiredLogicalQubitErrorRate\":\"1.85e-8\",\"requiredLogicalTstateErrorRate\":\"6.72e-7\",\"runtime\":\"3ms 707us 600ns\",\"tfactoryRuntime\":\"57us 200ns\",\"tfactoryRuntimePerRound\":\"57us 200ns\",\"tstateLogicalErrorRate\":\"2.48e-7\",\"unitNamePerRound\":\"15-to-1 space efficient logical\"},\"reportData\":{\"assumptions\":[\"_More details on the following lists of assumptions can be found in the paper [Accessing requirements for scaling quantum computers and their applications](https://aka.ms/AQ/RE/Paper)._\",\"**Uniform independent physical noise.** We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.\",\"**Efficient classical computation.** We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.\",\"**Extraction circuits for planar quantum ISA.** We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).\",\"**Uniform independent logical noise.** We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.\",\"**Negligible Clifford costs for synthesis.** We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.\",\"**Smooth magic state consumption rate.** We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.\"],\"groups\":[{\"alwaysVisible\":true,\"entries\":[{\"description\":\"Number of physical qubits\",\"explanation\":\"This value represents the total number of physical qubits, which is the sum of 12844 physical qubits to implement the algorithm logic, and 116160 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.\",\"label\":\"Physical qubits\",\"path\":\"physicalCounts/physicalQubits\"},{\"description\":\"Total runtime\",\"explanation\":\"This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (5us 200ns) multiplied by the 713 logical cycles to run the algorithm. If however the duration of a single T factory (here: 57us 200ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.\",\"label\":\"Runtime\",\"path\":\"physicalCountsFormatted/runtime\"}],\"title\":\"Physical resource estimates\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of logical qubits for the algorithm after layout\",\"explanation\":\"Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the $Q_{\\\\rm alg} = 13$ logical qubits in the input algorithm, we require in total $2 \\\\cdot Q_{\\\\rm alg} + \\\\lceil \\\\sqrt{8 \\\\cdot Q_{\\\\rm alg}}\\\\rceil + 1 = 38$ logical qubits.\",\"label\":\"Logical algorithmic qubits\",\"path\":\"physicalCounts/breakdown/algorithmicLogicalQubits\"},{\"description\":\"Number of logical cycles for the algorithm\",\"explanation\":\"To execute the algorithm using _Parallel Synthesis Sequential Pauli Computation_ (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 155 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 31 CCZ and 155 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.\",\"label\":\"Algorithmic depth\",\"path\":\"physicalCounts/breakdown/algorithmicLogicalDepth\"},{\"description\":\"Number of logical cycles performed\",\"explanation\":\"This number is usually equal to the logical depth of the algorithm, which is 713. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.\",\"label\":\"Logical depth\",\"path\":\"physicalCounts/breakdown/logicalDepth\"},{\"description\":\"Number of T states consumed by the algorithm\",\"explanation\":\"To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 31 CCZ and 155 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.\",\"label\":\"Number of T states\",\"path\":\"physicalCounts/breakdown/numTstates\"},{\"description\":\"Number of T factories capable of producing the demanded 744 T states during the algorithm's runtime\",\"explanation\":\"The total number of T factories 12 that are executed in parallel is computed as $\\\\left\\\\lceil\\\\dfrac{744\\\\;\\\\text{T states} \\\\cdot 57us 200ns\\\\;\\\\text{T factory duration}}{1\\\\;\\\\text{T states per T factory} \\\\cdot 3ms 707us 600ns\\\\;\\\\text{algorithm runtime}}\\\\right\\\\rceil$\",\"label\":\"Number of T factories\",\"path\":\"physicalCounts/breakdown/numTfactories\"},{\"description\":\"Number of times all T factories are invoked\",\"explanation\":\"In order to prepare the 744 T states, the 12 copies of the T factory are repeatedly invoked 62 times.\",\"label\":\"Number of T factory invocations\",\"path\":\"physicalCounts/breakdown/numTfactoryRuns\"},{\"description\":\"Number of physical qubits for the algorithm after layout\",\"explanation\":\"The 12844 are the product of the 38 logical qubits after layout and the 338 physical qubits that encode a single logical qubit.\",\"label\":\"Physical algorithmic qubits\",\"path\":\"physicalCounts/breakdown/physicalQubitsForAlgorithm\"},{\"description\":\"Number of physical qubits for the T factories\",\"explanation\":\"Each T factory requires 9680 physical qubits and we run 12 in parallel, therefore we need $116160 = 9680 \\\\cdot 12$ qubits.\",\"label\":\"Physical T factory qubits\",\"path\":\"physicalCounts/breakdown/physicalQubitsForTfactories\"},{\"description\":\"The minimum logical qubit error rate required to run the algorithm within the error budget\",\"explanation\":\"The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 38 logical qubits and the total cycle count 713.\",\"label\":\"Required logical qubit error rate\",\"path\":\"physicalCountsFormatted/requiredLogicalQubitErrorRate\"},{\"description\":\"The minimum T state error rate required for distilled T states\",\"explanation\":\"The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 744.\",\"label\":\"Required logical T state error rate\",\"path\":\"physicalCountsFormatted/requiredLogicalTstateErrorRate\"},{\"description\":\"Number of T states to implement a rotation with an arbitrary angle\",\"explanation\":\"The number of T states to implement a rotation with an arbitrary angle is $\\\\lceil 0.53 \\\\log_2(0 / 0) + 5.3\\\\rceil$ [[arXiv:2203.10064](https://arxiv.org/abs/2203.10064)]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.\",\"label\":\"Number of T states per rotation\",\"path\":\"physicalCountsFormatted/numTsPerRotation\"}],\"title\":\"Resource estimates breakdown\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Name of QEC scheme\",\"explanation\":\"You can load pre-defined QEC schemes by using the name `surface_code` or `floquet_code`. The latter only works with Majorana qubits.\",\"label\":\"QEC scheme\",\"path\":\"jobParams/qecScheme/name\"},{\"description\":\"Required code distance for error correction\",\"explanation\":\"The code distance is the smallest odd integer greater or equal to $\\\\dfrac{2\\\\log(0.03 / 0.00000001845427031815162)}{\\\\log(0.01/0.001)} - 1$\",\"label\":\"Code distance\",\"path\":\"logicalQubit/codeDistance\"},{\"description\":\"Number of physical qubits per logical qubit\",\"explanation\":\"The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.\",\"label\":\"Physical qubits\",\"path\":\"logicalQubit/physicalQubits\"},{\"description\":\"Duration of a logical cycle in nanoseconds\",\"explanation\":\"The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.\",\"label\":\"Logical cycle time\",\"path\":\"physicalCountsFormatted/logicalCycleTime\"},{\"description\":\"Logical qubit error rate\",\"explanation\":\"The logical qubit error rate is computed as $0.03 \\\\cdot \\\\left(\\\\dfrac{0.001}{0.01}\\\\right)^\\\\frac{13 + 1}{2}$\",\"label\":\"Logical qubit error rate\",\"path\":\"physicalCountsFormatted/logicalErrorRate\"},{\"description\":\"Crossing prefactor used in QEC scheme\",\"explanation\":\"The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.\",\"label\":\"Crossing prefactor\",\"path\":\"jobParams/qecScheme/crossingPrefactor\"},{\"description\":\"Error correction threshold used in QEC scheme\",\"explanation\":\"The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.\",\"label\":\"Error correction threshold\",\"path\":\"jobParams/qecScheme/errorCorrectionThreshold\"},{\"description\":\"QEC scheme formula used to compute logical cycle time\",\"explanation\":\"This is the formula that is used to compute the logical cycle time 5us 200ns.\",\"label\":\"Logical cycle time formula\",\"path\":\"jobParams/qecScheme/logicalCycleTime\"},{\"description\":\"QEC scheme formula used to compute number of physical qubits per logical qubit\",\"explanation\":\"This is the formula that is used to compute the number of physical qubits per logical qubits 338.\",\"label\":\"Physical qubits formula\",\"path\":\"jobParams/qecScheme/physicalQubitsPerLogicalQubit\"}],\"title\":\"Logical qubit parameters\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of physical qubits for a single T factory\",\"explanation\":\"This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.\",\"label\":\"Physical qubits\",\"path\":\"tfactory/physicalQubits\"},{\"description\":\"Runtime of a single T factory\",\"explanation\":\"The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.\",\"label\":\"Runtime\",\"path\":\"physicalCountsFormatted/tfactoryRuntime\"},{\"description\":\"Number of output T states produced in a single run of T factory\",\"explanation\":\"The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.48e-7.\",\"label\":\"Number of output T states per run\",\"path\":\"tfactory/numTstates\"},{\"description\":\"Number of physical input T states consumed in a single run of a T factory\",\"explanation\":\"This value includes the physical input T states of all copies of the distillation unit in the first round.\",\"label\":\"Number of input T states per run\",\"path\":\"tfactory/numInputTstates\"},{\"description\":\"The number of distillation rounds\",\"explanation\":\"This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.\",\"label\":\"Distillation rounds\",\"path\":\"tfactory/numRounds\"},{\"description\":\"The number of units in each round of distillation\",\"explanation\":\"This is the number of copies for the distillation units per round.\",\"label\":\"Distillation units per round\",\"path\":\"physicalCountsFormatted/numUnitsPerRound\"},{\"description\":\"The types of distillation units\",\"explanation\":\"These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.\",\"label\":\"Distillation units\",\"path\":\"physicalCountsFormatted/unitNamePerRound\"},{\"description\":\"The code distance in each round of distillation\",\"explanation\":\"This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.\",\"label\":\"Distillation code distances\",\"path\":\"physicalCountsFormatted/codeDistancePerRound\"},{\"description\":\"The number of physical qubits used in each round of distillation\",\"explanation\":\"The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.\",\"label\":\"Number of physical qubits per round\",\"path\":\"physicalCountsFormatted/physicalQubitsPerRound\"},{\"description\":\"The runtime of each distillation round\",\"explanation\":\"The runtime of the T factory is the sum of the runtimes in all rounds.\",\"label\":\"Runtime per round\",\"path\":\"physicalCountsFormatted/tfactoryRuntimePerRound\"},{\"description\":\"Logical T state error rate\",\"explanation\":\"This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 6.72e-7.\",\"label\":\"Logical T state error rate\",\"path\":\"physicalCountsFormatted/tstateLogicalErrorRate\"}],\"title\":\"T factory parameters\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of logical qubits in the input quantum program\",\"explanation\":\"We determine 38 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.\",\"label\":\"Logical qubits (pre-layout)\",\"path\":\"logicalCounts/numQubits\"},{\"description\":\"Number of T gates in the input quantum program\",\"explanation\":\"This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.\",\"label\":\"T gates\",\"path\":\"logicalCounts/tCount\"},{\"description\":\"Number of rotation gates in the input quantum program\",\"explanation\":\"This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.\",\"label\":\"Rotation gates\",\"path\":\"logicalCounts/rotationCount\"},{\"description\":\"Depth of rotation gates in the input quantum program\",\"explanation\":\"This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.\",\"label\":\"Rotation depth\",\"path\":\"logicalCounts/rotationDepth\"},{\"description\":\"Number of CCZ-gates in the input quantum program\",\"explanation\":\"This is the number of CCZ gates.\",\"label\":\"CCZ gates\",\"path\":\"logicalCounts/cczCount\"},{\"description\":\"Number of CCiX-gates in the input quantum program\",\"explanation\":\"This is the number of CCiX gates, which applies $-iX$ controlled on two control qubits [[1212.5069](https://arxiv.org/abs/1212.5069)].\",\"label\":\"CCiX gates\",\"path\":\"logicalCounts/ccixCount\"},{\"description\":\"Number of single qubit measurements in the input quantum program\",\"explanation\":\"This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.\",\"label\":\"Measurement operations\",\"path\":\"logicalCounts/measurementCount\"}],\"title\":\"Pre-layout logical resources\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Total error budget for the algorithm\",\"explanation\":\"The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget $\\\\epsilon = \\\\epsilon_{\\\\log} + \\\\epsilon_{\\\\rm dis} + \\\\epsilon_{\\\\rm syn}$ is uniformly distributed and applies to errors $\\\\epsilon_{\\\\log}$ to implement logical qubits, an error budget $\\\\epsilon_{\\\\rm dis}$ to produce T states through distillation, and an error budget $\\\\epsilon_{\\\\rm syn}$ to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets $\\\\epsilon_{\\\\rm dis}$ and $\\\\epsilon_{\\\\rm syn}$ are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.\",\"label\":\"Total error budget\",\"path\":\"physicalCountsFormatted/errorBudget\"},{\"description\":\"Probability of at least one logical error\",\"explanation\":\"This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.\",\"label\":\"Logical error probability\",\"path\":\"physicalCountsFormatted/errorBudgetLogical\"},{\"description\":\"Probability of at least one faulty T distillation\",\"explanation\":\"This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.\",\"label\":\"T distillation error probability\",\"path\":\"physicalCountsFormatted/errorBudgetTstates\"},{\"description\":\"Probability of at least one failed rotation synthesis\",\"explanation\":\"This is one third of the total error budget 1.00e-3.\",\"label\":\"Rotation synthesis error probability\",\"path\":\"physicalCountsFormatted/errorBudgetRotations\"}],\"title\":\"Assumed error budget\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Some descriptive name for the qubit model\",\"explanation\":\"You can load pre-defined qubit parameters by using the names `qubit_gate_ns_e3`, `qubit_gate_ns_e4`, `qubit_gate_us_e3`, `qubit_gate_us_e4`, `qubit_maj_ns_e4`, or `qubit_maj_ns_e6`. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or ¬µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).\",\"label\":\"Qubit name\",\"path\":\"jobParams/qubitParams/name\"},{\"description\":\"Underlying qubit technology (gate-based or Majorana)\",\"explanation\":\"When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either *gate-based* or *Majorana*. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.\",\"label\":\"Instruction set\",\"path\":\"jobParams/qubitParams/instructionSet\"},{\"description\":\"Operation time for single-qubit measurement (t_meas) in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.\",\"label\":\"Single-qubit measurement time\",\"path\":\"jobParams/qubitParams/oneQubitMeasurementTime\"},{\"description\":\"Operation time for single-qubit gate (t_gate) in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.\",\"label\":\"Single-qubit gate time\",\"path\":\"jobParams/qubitParams/oneQubitGateTime\"},{\"description\":\"Operation time for two-qubit gate in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.\",\"label\":\"Two-qubit gate time\",\"path\":\"jobParams/qubitParams/twoQubitGateTime\"},{\"description\":\"Operation time for a T gate\",\"explanation\":\"This is the operation time in nanoseconds to execute a T gate.\",\"label\":\"T gate time\",\"path\":\"jobParams/qubitParams/tGateTime\"},{\"description\":\"Error rate for single-qubit measurement\",\"explanation\":\"This is the probability in which a single-qubit measurement in the Pauli basis may fail.\",\"label\":\"Single-qubit measurement error rate\",\"path\":\"jobParams/qubitParams/oneQubitMeasurementErrorRate\"},{\"description\":\"Error rate for single-qubit Clifford gate (p)\",\"explanation\":\"This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.\",\"label\":\"Single-qubit error rate\",\"path\":\"jobParams/qubitParams/oneQubitGateErrorRate\"},{\"description\":\"Error rate for two-qubit Clifford gate\",\"explanation\":\"This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.\",\"label\":\"Two-qubit error rate\",\"path\":\"jobParams/qubitParams/twoQubitGateErrorRate\"},{\"description\":\"Error rate to prepare single-qubit T state or apply a T gate (p_T)\",\"explanation\":\"This is the probability in which executing a single T gate may fail.\",\"label\":\"T gate error rate\",\"path\":\"jobParams/qubitParams/tGateErrorRate\"}],\"title\":\"Physical qubit parameters\"}]},\"status\":\"success\",\"tfactory\":{\"codeDistancePerRound\":[11],\"logicalErrorRate\":2.480000000000001E-07,\"numInputTstates\":30,\"numRounds\":1,\"numTstates\":1,\"numUnitsPerRound\":[2],\"physicalQubits\":9680,\"physicalQubitsPerRound\":[9680],\"runtime\":57200.0,\"runtimePerRound\":[57200.0],\"unitNamePerRound\":[\"15-to-1 space efficient logical\"]}}", + "text/html": [ + "\r\n", + "
\r\n", + " \r\n", + " Physical resource estimates\r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "
Physical qubits129004\r\n", + "

Number of physical qubits

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This value represents the total number of physical qubits, which is the sum of 12844 physical qubits to implement the algorithm logic, and 116160 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.

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Runtime3ms 707us 600ns\r\n", + "

Total runtime

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This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (5us 200ns) multiplied by the 713 logical cycles to run the algorithm. If however the duration of a single T factory (here: 57us 200ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.

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Logical algorithmic qubits38\r\n", + "

Number of logical qubits for the algorithm after layout

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Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the \\(Q_{\\rm alg} = 13\\) logical qubits in the input algorithm, we require in total $2 \\cdot Q_{\\rm alg} + \\lceil \\sqrt{8 \\cdot Q_{\\rm alg}}\\rceil + 1 = 38$ logical qubits.

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Algorithmic depth713\r\n", + "

Number of logical cycles for the algorithm

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To execute the algorithm using Parallel Synthesis Sequential Pauli Computation (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 155 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 31 CCZ and 155 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.

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Logical depth713\r\n", + "

Number of logical cycles performed

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This number is usually equal to the logical depth of the algorithm, which is 713. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.

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Number of T states744\r\n", + "

Number of T states consumed by the algorithm

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To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 31 CCZ and 155 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.

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Number of T factories12\r\n", + "

Number of T factories capable of producing the demanded 744 T states during the algorithm's runtime

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The total number of T factories 12 that are executed in parallel is computed as \\(\\left\\lceil\\dfrac{744\\;\\text{T states} \\cdot 57us 200ns\\;\\text{T factory duration}}{1\\;\\text{T states per T factory} \\cdot 3ms 707us 600ns\\;\\text{algorithm runtime}}\\right\\rceil\\)

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Number of T factory invocations62\r\n", + "

Number of times all T factories are invoked

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In order to prepare the 744 T states, the 12 copies of the T factory are repeatedly invoked 62 times.

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Physical algorithmic qubits12844\r\n", + "

Number of physical qubits for the algorithm after layout

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The 12844 are the product of the 38 logical qubits after layout and the 338 physical qubits that encode a single logical qubit.

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Physical T factory qubits116160\r\n", + "

Number of physical qubits for the T factories

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Each T factory requires 9680 physical qubits and we run 12 in parallel, therefore we need $116160 = 9680 \\cdot 12$ qubits.

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Required logical qubit error rate1.85e-8\r\n", + "

The minimum logical qubit error rate required to run the algorithm within the error budget

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The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 38 logical qubits and the total cycle count 713.

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Required logical T state error rate6.72e-7\r\n", + "

The minimum T state error rate required for distilled T states

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The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 744.

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Number of T states per rotationNo rotations in algorithm\r\n", + "

Number of T states to implement a rotation with an arbitrary angle

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The number of T states to implement a rotation with an arbitrary angle is \\(\\lceil 0.53 \\log_2(0 / 0) + 5.3\\rceil\\) [arXiv:2203.10064]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.

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QEC schemesurface_code\r\n", + "

Name of QEC scheme

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You can load pre-defined QEC schemes by using the name surface_code or floquet_code. The latter only works with Majorana qubits.

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Code distance13\r\n", + "

Required code distance for error correction

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The code distance is the smallest odd integer greater or equal to \\(\\dfrac{2\\log(0.03 / 0.00000001845427031815162)}{\\log(0.01/0.001)} - 1\\)

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Physical qubits338\r\n", + "

Number of physical qubits per logical qubit

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The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.

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Logical cycle time5us 200ns\r\n", + "

Duration of a logical cycle in nanoseconds

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The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.

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Logical qubit error rate3.00e-9\r\n", + "

Logical qubit error rate

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The logical qubit error rate is computed as $0.03 \\cdot \\left(\\dfrac{0.001}{0.01}\\right)^\\frac{13 + 1}{2}$

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Crossing prefactor0.03\r\n", + "

Crossing prefactor used in QEC scheme

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The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.

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Error correction threshold0.01\r\n", + "

Error correction threshold used in QEC scheme

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The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.

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Logical cycle time formula(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance\r\n", + "

QEC scheme formula used to compute logical cycle time

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This is the formula that is used to compute the logical cycle time 5us 200ns.

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Physical qubits formula2 * codeDistance * codeDistance\r\n", + "

QEC scheme formula used to compute number of physical qubits per logical qubit

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This is the formula that is used to compute the number of physical qubits per logical qubits 338.

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Physical qubits9680\r\n", + "

Number of physical qubits for a single T factory

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This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.

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Runtime57us 200ns\r\n", + "

Runtime of a single T factory

\n", + "\r\n", + "
\r\n", + "

The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.

\n", + "\r\n", + "
Number of output T states per run1\r\n", + "

Number of output T states produced in a single run of T factory

\n", + "\r\n", + "
\r\n", + "

The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.48e-7.

\n", + "\r\n", + "
Number of input T states per run30\r\n", + "

Number of physical input T states consumed in a single run of a T factory

\n", + "\r\n", + "
\r\n", + "

This value includes the physical input T states of all copies of the distillation unit in the first round.

\n", + "\r\n", + "
Distillation rounds1\r\n", + "

The number of distillation rounds

\n", + "\r\n", + "
\r\n", + "

This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.

\n", + "\r\n", + "
Distillation units per round2\r\n", + "

The number of units in each round of distillation

\n", + "\r\n", + "
\r\n", + "

This is the number of copies for the distillation units per round.

\n", + "\r\n", + "
Distillation units15-to-1 space efficient logical\r\n", + "

The types of distillation units

\n", + "\r\n", + "
\r\n", + "

These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.

\n", + "\r\n", + "
Distillation code distances11\r\n", + "

The code distance in each round of distillation

\n", + "\r\n", + "
\r\n", + "

This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.

\n", + "\r\n", + "
Number of physical qubits per round9680\r\n", + "

The number of physical qubits used in each round of distillation

\n", + "\r\n", + "
\r\n", + "

The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.

\n", + "\r\n", + "
Runtime per round57us 200ns\r\n", + "

The runtime of each distillation round

\n", + "\r\n", + "
\r\n", + "

The runtime of the T factory is the sum of the runtimes in all rounds.

\n", + "\r\n", + "
Logical T state error rate2.48e-7\r\n", + "

Logical T state error rate

\n", + "\r\n", + "
\r\n", + "

This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 6.72e-7.

\n", + "\r\n", + "
\r\n", + "\r\n", + "
\r\n", + " \r\n", + " Pre-layout logical resources\r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "
Logical qubits (pre-layout)13\r\n", + "

Number of logical qubits in the input quantum program

\n", + "\r\n", + "
\r\n", + "

We determine 38 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.

\n", + "\r\n", + "
T gates0\r\n", + "

Number of T gates in the input quantum program

\n", + "\r\n", + "
\r\n", + "

This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.

\n", + "\r\n", + "
Rotation gates0\r\n", + "

Number of rotation gates in the input quantum program

\n", + "\r\n", + "
\r\n", + "

This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.

\n", + "\r\n", + "
Rotation depth0\r\n", + "

Depth of rotation gates in the input quantum program

\n", + "\r\n", + "
\r\n", + "

This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.

\n", + "\r\n", + "
CCZ gates31\r\n", + "

Number of CCZ-gates in the input quantum program

\n", + "\r\n", + "
\r\n", + "

This is the number of CCZ gates.

\n", + "\r\n", + "
CCiX gates155\r\n", + "

Number of CCiX-gates in the input quantum program

\n", + "\r\n", + "
\r\n", + "

This is the number of CCiX gates, which applies \\(-iX\\) controlled on two control qubits [1212.5069].

\n", + "\r\n", + "
Measurement operations155\r\n", + "

Number of single qubit measurements in the input quantum program

\n", + "\r\n", + "
\r\n", + "

This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.

\n", + "\r\n", + "
\r\n", + "\r\n", + "
\r\n", + " \r\n", + " Assumed error budget\r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "
Total error budget1.00e-3\r\n", + "

Total error budget for the algorithm

\n", + "\r\n", + "
\r\n", + "

The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget \\(\\epsilon = \\epsilon_{\\log} + \\epsilon_{\\rm dis} + \\epsilon_{\\rm syn}\\) is uniformly distributed and applies to errors \\(\\epsilon_{\\log}\\) to implement logical qubits, an error budget \\(\\epsilon_{\\rm dis}\\) to produce T states through distillation, and an error budget \\(\\epsilon_{\\rm syn}\\) to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets \\(\\epsilon_{\\rm dis}\\) and \\(\\epsilon_{\\rm syn}\\) are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.

\n", + "\r\n", + "
Logical error probability5.00e-4\r\n", + "

Probability of at least one logical error

\n", + "\r\n", + "
\r\n", + "

This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.

\n", + "\r\n", + "
T distillation error probability5.00e-4\r\n", + "

Probability of at least one faulty T distillation

\n", + "\r\n", + "
\r\n", + "

This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.

\n", + "\r\n", + "
Rotation synthesis error probability0.00e0\r\n", + "

Probability of at least one failed rotation synthesis

\n", + "\r\n", + "
\r\n", + "

This is one third of the total error budget 1.00e-3.

\n", + "\r\n", + "
\r\n", + "\r\n", + "
\r\n", + " \r\n", + " Physical qubit parameters\r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "\r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + " \r\n", + "
Qubit namequbit_gate_ns_e3\r\n", + "

Some descriptive name for the qubit model

\n", + "\r\n", + "
\r\n", + "

You can load pre-defined qubit parameters by using the names qubit_gate_ns_e3, qubit_gate_ns_e4, qubit_gate_us_e3, qubit_gate_us_e4, qubit_maj_ns_e4, or qubit_maj_ns_e6. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).

\n", + "\r\n", + "
Instruction setGateBased\r\n", + "

Underlying qubit technology (gate-based or Majorana)

\n", + "\r\n", + "
\r\n", + "

When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either gate-based or Majorana. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.

\n", + "\r\n", + "
Single-qubit measurement time100 ns\r\n", + "

Operation time for single-qubit measurement (t_meas) in ns

\n", + "\r\n", + "
\r\n", + "

This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.

\n", + "\r\n", + "
Single-qubit gate time50 ns\r\n", + "

Operation time for single-qubit gate (t_gate) in ns

\n", + "\r\n", + "
\r\n", + "

This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.

\n", + "\r\n", + "
Two-qubit gate time50 ns\r\n", + "

Operation time for two-qubit gate in ns

\n", + "\r\n", + "
\r\n", + "

This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.

\n", + "\r\n", + "
T gate time50 ns\r\n", + "

Operation time for a T gate

\n", + "\r\n", + "
\r\n", + "

This is the operation time in nanoseconds to execute a T gate.

\n", + "\r\n", + "
Single-qubit measurement error rate0.001\r\n", + "

Error rate for single-qubit measurement

\n", + "\r\n", + "
\r\n", + "

This is the probability in which a single-qubit measurement in the Pauli basis may fail.

\n", + "\r\n", + "
Single-qubit error rate0.001\r\n", + "

Error rate for single-qubit Clifford gate (p)

\n", + "\r\n", + "
\r\n", + "

This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.

\n", + "\r\n", + "
Two-qubit error rate0.001\r\n", + "

Error rate for two-qubit Clifford gate

\n", + "\r\n", + "
\r\n", + "

This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.

\n", + "\r\n", + "
T gate error rate0.001\r\n", + "

Error rate to prepare single-qubit T state or apply a T gate (p_T)

\n", + "\r\n", + "
\r\n", + "

This is the probability in which executing a single T gate may fail.

\n", + "\r\n", + "
\r\n", + "\r\n" + ], + "text/plain": [ + "{'errorBudget': {'logical': 0.0005, 'rotations': 0.0, 'tstates': 0.0005},\n", + " 'jobParams': {'errorBudget': 0.001,\n", + " 'qecScheme': {'crossingPrefactor': 0.03,\n", + " 'errorCorrectionThreshold': 0.01,\n", + " 'logicalCycleTime': '(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance',\n", + " 'name': 'surface_code',\n", + " 'physicalQubitsPerLogicalQubit': '2 * codeDistance * codeDistance'},\n", + " 'qubitParams': {'instructionSet': 'GateBased',\n", + " 'name': 'qubit_gate_ns_e3',\n", + " 'oneQubitGateErrorRate': 0.001,\n", + " 'oneQubitGateTime': '50 ns',\n", + " 'oneQubitMeasurementErrorRate': 0.001,\n", + " 'oneQubitMeasurementTime': '100 ns',\n", + " 'tGateErrorRate': 0.001,\n", + " 'tGateTime': '50 ns',\n", + " 'twoQubitGateErrorRate': 0.001,\n", + " 'twoQubitGateTime': '50 ns'}},\n", + " 'logicalCounts': {'ccixCount': 155,\n", + " 'cczCount': 31,\n", + " 'measurementCount': 155,\n", + " 'numQubits': 13,\n", + " 'rotationCount': 0,\n", + " 'rotationDepth': 0,\n", + " 'tCount': 0},\n", + " 'logicalQubit': {'codeDistance': 13,\n", + " 'logicalCycleTime': 5200.0,\n", + " 'logicalErrorRate': 3.000000000000002e-09,\n", + " 'physicalQubits': 338},\n", + " 'physicalCounts': {'breakdown': {'algorithmicLogicalDepth': 713,\n", + " 'algorithmicLogicalQubits': 38,\n", + " 'cliffordErrorRate': 0.001,\n", + " 'logicalDepth': 713,\n", + " 'numTfactories': 12,\n", + " 'numTfactoryRuns': 62,\n", + " 'numTsPerRotation': None,\n", + " 'numTstates': 744,\n", + " 'physicalQubitsForAlgorithm': 12844,\n", + " 'physicalQubitsForTfactories': 116160,\n", + " 'requiredLogicalQubitErrorRate': 1.845427031815162e-08,\n", + " 'requiredLogicalTstateErrorRate': 6.720430107526882e-07},\n", + " 'physicalQubits': 129004,\n", + " 'runtime': 3707600},\n", + " 'physicalCountsFormatted': {'codeDistancePerRound': '11',\n", + " 'errorBudget': '1.00e-3',\n", + " 'errorBudgetLogical': '5.00e-4',\n", + " 'errorBudgetRotations': '0.00e0',\n", + " 'errorBudgetTstates': '5.00e-4',\n", + " 'logicalCycleTime': '5us 200ns',\n", + " 'logicalErrorRate': '3.00e-9',\n", + " 'numTsPerRotation': 'No rotations in algorithm',\n", + " 'numUnitsPerRound': '2',\n", + " 'physicalQubitsForTfactoriesPercentage': '90.04 %',\n", + " 'physicalQubitsPerRound': '9680',\n", + " 'requiredLogicalQubitErrorRate': '1.85e-8',\n", + " 'requiredLogicalTstateErrorRate': '6.72e-7',\n", + " 'runtime': '3ms 707us 600ns',\n", + " 'tfactoryRuntime': '57us 200ns',\n", + " 'tfactoryRuntimePerRound': '57us 200ns',\n", + " 'tstateLogicalErrorRate': '2.48e-7',\n", + " 'unitNamePerRound': '15-to-1 space efficient logical'},\n", + " 'reportData': {'assumptions': ['_More details on the following lists of assumptions can be found in the paper [Accessing requirements for scaling quantum computers and their applications](https://aka.ms/AQ/RE/Paper)._',\n", + " '**Uniform independent physical noise.** We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.',\n", + " '**Efficient classical computation.** We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.',\n", + " '**Extraction circuits for planar quantum ISA.** We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).',\n", + " '**Uniform independent logical noise.** We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.',\n", + " '**Negligible Clifford costs for synthesis.** We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.',\n", + " '**Smooth magic state consumption rate.** We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.'],\n", + " 'groups': [{'alwaysVisible': True,\n", + " 'entries': [{'description': 'Number of physical qubits',\n", + " 'explanation': 'This value represents the total number of physical qubits, which is the sum of 12844 physical qubits to implement the algorithm logic, and 116160 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.',\n", + " 'label': 'Physical qubits',\n", + " 'path': 'physicalCounts/physicalQubits'},\n", + " {'description': 'Total runtime',\n", + " 'explanation': 'This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (5us 200ns) multiplied by the 713 logical cycles to run the algorithm. If however the duration of a single T factory (here: 57us 200ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.',\n", + " 'label': 'Runtime',\n", + " 'path': 'physicalCountsFormatted/runtime'}],\n", + " 'title': 'Physical resource estimates'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Number of logical qubits for the algorithm after layout',\n", + " 'explanation': 'Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the $Q_{\\\\rm alg} = 13$ logical qubits in the input algorithm, we require in total $2 \\\\cdot Q_{\\\\rm alg} + \\\\lceil \\\\sqrt{8 \\\\cdot Q_{\\\\rm alg}}\\\\rceil + 1 = 38$ logical qubits.',\n", + " 'label': 'Logical algorithmic qubits',\n", + " 'path': 'physicalCounts/breakdown/algorithmicLogicalQubits'},\n", + " {'description': 'Number of logical cycles for the algorithm',\n", + " 'explanation': 'To execute the algorithm using _Parallel Synthesis Sequential Pauli Computation_ (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 155 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 31 CCZ and 155 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.',\n", + " 'label': 'Algorithmic depth',\n", + " 'path': 'physicalCounts/breakdown/algorithmicLogicalDepth'},\n", + " {'description': 'Number of logical cycles performed',\n", + " 'explanation': \"This number is usually equal to the logical depth of the algorithm, which is 713. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.\",\n", + " 'label': 'Logical depth',\n", + " 'path': 'physicalCounts/breakdown/logicalDepth'},\n", + " {'description': 'Number of T states consumed by the algorithm',\n", + " 'explanation': 'To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 31 CCZ and 155 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.',\n", + " 'label': 'Number of T states',\n", + " 'path': 'physicalCounts/breakdown/numTstates'},\n", + " {'description': \"Number of T factories capable of producing the demanded 744 T states during the algorithm's runtime\",\n", + " 'explanation': 'The total number of T factories 12 that are executed in parallel is computed as $\\\\left\\\\lceil\\\\dfrac{744\\\\;\\\\text{T states} \\\\cdot 57us 200ns\\\\;\\\\text{T factory duration}}{1\\\\;\\\\text{T states per T factory} \\\\cdot 3ms 707us 600ns\\\\;\\\\text{algorithm runtime}}\\\\right\\\\rceil$',\n", + " 'label': 'Number of T factories',\n", + " 'path': 'physicalCounts/breakdown/numTfactories'},\n", + " {'description': 'Number of times all T factories are invoked',\n", + " 'explanation': 'In order to prepare the 744 T states, the 12 copies of the T factory are repeatedly invoked 62 times.',\n", + " 'label': 'Number of T factory invocations',\n", + " 'path': 'physicalCounts/breakdown/numTfactoryRuns'},\n", + " {'description': 'Number of physical qubits for the algorithm after layout',\n", + " 'explanation': 'The 12844 are the product of the 38 logical qubits after layout and the 338 physical qubits that encode a single logical qubit.',\n", + " 'label': 'Physical algorithmic qubits',\n", + " 'path': 'physicalCounts/breakdown/physicalQubitsForAlgorithm'},\n", + " {'description': 'Number of physical qubits for the T factories',\n", + " 'explanation': 'Each T factory requires 9680 physical qubits and we run 12 in parallel, therefore we need $116160 = 9680 \\\\cdot 12$ qubits.',\n", + " 'label': 'Physical T factory qubits',\n", + " 'path': 'physicalCounts/breakdown/physicalQubitsForTfactories'},\n", + " {'description': 'The minimum logical qubit error rate required to run the algorithm within the error budget',\n", + " 'explanation': 'The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 38 logical qubits and the total cycle count 713.',\n", + " 'label': 'Required logical qubit error rate',\n", + " 'path': 'physicalCountsFormatted/requiredLogicalQubitErrorRate'},\n", + " {'description': 'The minimum T state error rate required for distilled T states',\n", + " 'explanation': 'The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 744.',\n", + " 'label': 'Required logical T state error rate',\n", + " 'path': 'physicalCountsFormatted/requiredLogicalTstateErrorRate'},\n", + " {'description': 'Number of T states to implement a rotation with an arbitrary angle',\n", + " 'explanation': 'The number of T states to implement a rotation with an arbitrary angle is $\\\\lceil 0.53 \\\\log_2(0 / 0) + 5.3\\\\rceil$ [[arXiv:2203.10064](https://arxiv.org/abs/2203.10064)]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.',\n", + " 'label': 'Number of T states per rotation',\n", + " 'path': 'physicalCountsFormatted/numTsPerRotation'}],\n", + " 'title': 'Resource estimates breakdown'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Name of QEC scheme',\n", + " 'explanation': 'You can load pre-defined QEC schemes by using the name `surface_code` or `floquet_code`. The latter only works with Majorana qubits.',\n", + " 'label': 'QEC scheme',\n", + " 'path': 'jobParams/qecScheme/name'},\n", + " {'description': 'Required code distance for error correction',\n", + " 'explanation': 'The code distance is the smallest odd integer greater or equal to $\\\\dfrac{2\\\\log(0.03 / 0.00000001845427031815162)}{\\\\log(0.01/0.001)} - 1$',\n", + " 'label': 'Code distance',\n", + " 'path': 'logicalQubit/codeDistance'},\n", + " {'description': 'Number of physical qubits per logical qubit',\n", + " 'explanation': 'The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.',\n", + " 'label': 'Physical qubits',\n", + " 'path': 'logicalQubit/physicalQubits'},\n", + " {'description': 'Duration of a logical cycle in nanoseconds',\n", + " 'explanation': 'The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.',\n", + " 'label': 'Logical cycle time',\n", + " 'path': 'physicalCountsFormatted/logicalCycleTime'},\n", + " {'description': 'Logical qubit error rate',\n", + " 'explanation': 'The logical qubit error rate is computed as $0.03 \\\\cdot \\\\left(\\\\dfrac{0.001}{0.01}\\\\right)^\\\\frac{13 + 1}{2}$',\n", + " 'label': 'Logical qubit error rate',\n", + " 'path': 'physicalCountsFormatted/logicalErrorRate'},\n", + " {'description': 'Crossing prefactor used in QEC scheme',\n", + " 'explanation': 'The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.',\n", + " 'label': 'Crossing prefactor',\n", + " 'path': 'jobParams/qecScheme/crossingPrefactor'},\n", + " {'description': 'Error correction threshold used in QEC scheme',\n", + " 'explanation': 'The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.',\n", + " 'label': 'Error correction threshold',\n", + " 'path': 'jobParams/qecScheme/errorCorrectionThreshold'},\n", + " {'description': 'QEC scheme formula used to compute logical cycle time',\n", + " 'explanation': 'This is the formula that is used to compute the logical cycle time 5us 200ns.',\n", + " 'label': 'Logical cycle time formula',\n", + " 'path': 'jobParams/qecScheme/logicalCycleTime'},\n", + " {'description': 'QEC scheme formula used to compute number of physical qubits per logical qubit',\n", + " 'explanation': 'This is the formula that is used to compute the number of physical qubits per logical qubits 338.',\n", + " 'label': 'Physical qubits formula',\n", + " 'path': 'jobParams/qecScheme/physicalQubitsPerLogicalQubit'}],\n", + " 'title': 'Logical qubit parameters'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Number of physical qubits for a single T factory',\n", + " 'explanation': 'This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.',\n", + " 'label': 'Physical qubits',\n", + " 'path': 'tfactory/physicalQubits'},\n", + " {'description': 'Runtime of a single T factory',\n", + " 'explanation': 'The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.',\n", + " 'label': 'Runtime',\n", + " 'path': 'physicalCountsFormatted/tfactoryRuntime'},\n", + " {'description': 'Number of output T states produced in a single run of T factory',\n", + " 'explanation': 'The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.48e-7.',\n", + " 'label': 'Number of output T states per run',\n", + " 'path': 'tfactory/numTstates'},\n", + " {'description': 'Number of physical input T states consumed in a single run of a T factory',\n", + " 'explanation': 'This value includes the physical input T states of all copies of the distillation unit in the first round.',\n", + " 'label': 'Number of input T states per run',\n", + " 'path': 'tfactory/numInputTstates'},\n", + " {'description': 'The number of distillation rounds',\n", + " 'explanation': 'This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.',\n", + " 'label': 'Distillation rounds',\n", + " 'path': 'tfactory/numRounds'},\n", + " {'description': 'The number of units in each round of distillation',\n", + " 'explanation': 'This is the number of copies for the distillation units per round.',\n", + " 'label': 'Distillation units per round',\n", + " 'path': 'physicalCountsFormatted/numUnitsPerRound'},\n", + " {'description': 'The types of distillation units',\n", + " 'explanation': 'These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.',\n", + " 'label': 'Distillation units',\n", + " 'path': 'physicalCountsFormatted/unitNamePerRound'},\n", + " {'description': 'The code distance in each round of distillation',\n", + " 'explanation': 'This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.',\n", + " 'label': 'Distillation code distances',\n", + " 'path': 'physicalCountsFormatted/codeDistancePerRound'},\n", + " {'description': 'The number of physical qubits used in each round of distillation',\n", + " 'explanation': 'The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.',\n", + " 'label': 'Number of physical qubits per round',\n", + " 'path': 'physicalCountsFormatted/physicalQubitsPerRound'},\n", + " {'description': 'The runtime of each distillation round',\n", + " 'explanation': 'The runtime of the T factory is the sum of the runtimes in all rounds.',\n", + " 'label': 'Runtime per round',\n", + " 'path': 'physicalCountsFormatted/tfactoryRuntimePerRound'},\n", + " {'description': 'Logical T state error rate',\n", + " 'explanation': 'This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 6.72e-7.',\n", + " 'label': 'Logical T state error rate',\n", + " 'path': 'physicalCountsFormatted/tstateLogicalErrorRate'}],\n", + " 'title': 'T factory parameters'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Number of logical qubits in the input quantum program',\n", + " 'explanation': 'We determine 38 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.',\n", + " 'label': 'Logical qubits (pre-layout)',\n", + " 'path': 'logicalCounts/numQubits'},\n", + " {'description': 'Number of T gates in the input quantum program',\n", + " 'explanation': 'This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.',\n", + " 'label': 'T gates',\n", + " 'path': 'logicalCounts/tCount'},\n", + " {'description': 'Number of rotation gates in the input quantum program',\n", + " 'explanation': 'This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.',\n", + " 'label': 'Rotation gates',\n", + " 'path': 'logicalCounts/rotationCount'},\n", + " {'description': 'Depth of rotation gates in the input quantum program',\n", + " 'explanation': 'This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.',\n", + " 'label': 'Rotation depth',\n", + " 'path': 'logicalCounts/rotationDepth'},\n", + " {'description': 'Number of CCZ-gates in the input quantum program',\n", + " 'explanation': 'This is the number of CCZ gates.',\n", + " 'label': 'CCZ gates',\n", + " 'path': 'logicalCounts/cczCount'},\n", + " {'description': 'Number of CCiX-gates in the input quantum program',\n", + " 'explanation': 'This is the number of CCiX gates, which applies $-iX$ controlled on two control qubits [[1212.5069](https://arxiv.org/abs/1212.5069)].',\n", + " 'label': 'CCiX gates',\n", + " 'path': 'logicalCounts/ccixCount'},\n", + " {'description': 'Number of single qubit measurements in the input quantum program',\n", + " 'explanation': 'This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.',\n", + " 'label': 'Measurement operations',\n", + " 'path': 'logicalCounts/measurementCount'}],\n", + " 'title': 'Pre-layout logical resources'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Total error budget for the algorithm',\n", + " 'explanation': \"The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget $\\\\epsilon = \\\\epsilon_{\\\\log} + \\\\epsilon_{\\\\rm dis} + \\\\epsilon_{\\\\rm syn}$ is uniformly distributed and applies to errors $\\\\epsilon_{\\\\log}$ to implement logical qubits, an error budget $\\\\epsilon_{\\\\rm dis}$ to produce T states through distillation, and an error budget $\\\\epsilon_{\\\\rm syn}$ to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets $\\\\epsilon_{\\\\rm dis}$ and $\\\\epsilon_{\\\\rm syn}$ are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.\",\n", + " 'label': 'Total error budget',\n", + " 'path': 'physicalCountsFormatted/errorBudget'},\n", + " {'description': 'Probability of at least one logical error',\n", + " 'explanation': 'This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.',\n", + " 'label': 'Logical error probability',\n", + " 'path': 'physicalCountsFormatted/errorBudgetLogical'},\n", + " {'description': 'Probability of at least one faulty T distillation',\n", + " 'explanation': 'This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.',\n", + " 'label': 'T distillation error probability',\n", + " 'path': 'physicalCountsFormatted/errorBudgetTstates'},\n", + " {'description': 'Probability of at least one failed rotation synthesis',\n", + " 'explanation': 'This is one third of the total error budget 1.00e-3.',\n", + " 'label': 'Rotation synthesis error probability',\n", + " 'path': 'physicalCountsFormatted/errorBudgetRotations'}],\n", + " 'title': 'Assumed error budget'},\n", + " {'alwaysVisible': False,\n", + " 'entries': [{'description': 'Some descriptive name for the qubit model',\n", + " 'explanation': 'You can load pre-defined qubit parameters by using the names `qubit_gate_ns_e3`, `qubit_gate_ns_e4`, `qubit_gate_us_e3`, `qubit_gate_us_e4`, `qubit_maj_ns_e4`, or `qubit_maj_ns_e6`. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).',\n", + " 'label': 'Qubit name',\n", + " 'path': 'jobParams/qubitParams/name'},\n", + " {'description': 'Underlying qubit technology (gate-based or Majorana)',\n", + " 'explanation': 'When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either *gate-based* or *Majorana*. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.',\n", + " 'label': 'Instruction set',\n", + " 'path': 'jobParams/qubitParams/instructionSet'},\n", + " {'description': 'Operation time for single-qubit measurement (t_meas) in ns',\n", + " 'explanation': 'This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.',\n", + " 'label': 'Single-qubit measurement time',\n", + " 'path': 'jobParams/qubitParams/oneQubitMeasurementTime'},\n", + " {'description': 'Operation time for single-qubit gate (t_gate) in ns',\n", + " 'explanation': 'This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.',\n", + " 'label': 'Single-qubit gate time',\n", + " 'path': 'jobParams/qubitParams/oneQubitGateTime'},\n", + " {'description': 'Operation time for two-qubit gate in ns',\n", + " 'explanation': 'This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.',\n", + " 'label': 'Two-qubit gate time',\n", + " 'path': 'jobParams/qubitParams/twoQubitGateTime'},\n", + " {'description': 'Operation time for a T gate',\n", + " 'explanation': 'This is the operation time in nanoseconds to execute a T gate.',\n", + " 'label': 'T gate time',\n", + " 'path': 'jobParams/qubitParams/tGateTime'},\n", + " {'description': 'Error rate for single-qubit measurement',\n", + " 'explanation': 'This is the probability in which a single-qubit measurement in the Pauli basis may fail.',\n", + " 'label': 'Single-qubit measurement error rate',\n", + " 'path': 'jobParams/qubitParams/oneQubitMeasurementErrorRate'},\n", + " {'description': 'Error rate for single-qubit Clifford gate (p)',\n", + " 'explanation': 'This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.',\n", + " 'label': 'Single-qubit error rate',\n", + " 'path': 'jobParams/qubitParams/oneQubitGateErrorRate'},\n", + " {'description': 'Error rate for two-qubit Clifford gate',\n", + " 'explanation': 'This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.',\n", + " 'label': 'Two-qubit error rate',\n", + " 'path': 'jobParams/qubitParams/twoQubitGateErrorRate'},\n", + " {'description': 'Error rate to prepare single-qubit T state or apply a T gate (p_T)',\n", + " 'explanation': 'This is the probability in which executing a single T gate may fail.',\n", + " 'label': 'T gate error rate',\n", + " 'path': 'jobParams/qubitParams/tGateErrorRate'}],\n", + " 'title': 'Physical qubit parameters'}]},\n", + " 'status': 'success',\n", + " 'tfactory': {'codeDistancePerRound': [11],\n", + " 'logicalErrorRate': 2.480000000000001e-07,\n", + " 'numInputTstates': 30,\n", + " 'numRounds': 1,\n", + " 'numTstates': 1,\n", + " 'numUnitsPerRound': [2],\n", + " 'physicalQubits': 9680,\n", + " 'physicalQubitsPerRound': [9680],\n", + " 'runtime': 57200.0,\n", + " 'runtimePerRound': [57200.0],\n", + " 'unitNamePerRound': ['15-to-1 space efficient logical']}}" + ] + }, + "execution_count": 68, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# If you need to pull up the results of an old job, use its job ID with qsharp.azure.output command\n", "# result = qsharp.azure.output(\"...\")\n", @@ -364,9 +4888,8 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 69, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -391,9 +4914,8 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 70, "metadata": { - "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -404,10 +4926,37 @@ } } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Logical algorithmic qubits = 38\n", + "Algorithmic depth = 713\n", + "Score = 27094\n" + ] + }, + { + "data": { + "text/plain": [ + "27094" + ] + }, + "execution_count": 70, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "evaluate_results(result)" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { @@ -415,7 +4964,7 @@ "name": "python3" }, "kernelspec": { - "display_name": "Python 3 [Default]", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -429,7 +4978,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.10" + "version": "3.10.9" }, "nteract": { "version": "nteract-front-end@1.0.0" diff --git a/obj/__entrypoint__.dll b/obj/__entrypoint__.dll index b9827133de8f3bc5e7870a5ae5b68a25e5d81091..d02014979e76bcec770aae77f79ab3dfc2dc52a2 100644 GIT binary patch literal 321536 zcmeEv31D1R_4j!%$z(EFnoQcHNlQCT7t$sT+1s>D_Z7OOO)1boI!&hSv`MDSOiDvq 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mode 100644 index 0000000..bc06808 --- /dev/null +++ b/team_solutions/Quantum Wranglers/iQuHack-challenge-2023-task2.ipynb @@ -0,0 +1,469 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "# MIT iQuHack Microsoft Challenge: Optimizing Quantum Oracles, Task 2\n", + "\n", + "To work on this task,\n", + "1. Use the notebook for this task. Each of the notebooks in the repository has the code of the corresponding task.\n", + "2. Update your team name and Slack ID variables in the next code cell (you can use different Slack IDs for different tasks if different team members work on them, but make sure to use the same team name throughout the Hackathon). Do not change the task variable!\n", + "3. Work on your task in the cell that contains operation `Task2`! Your goal is to rewrite the code so that it maintains its correctness, but requires as few resources as possible. See `evaluate_results` function for details on how your absolute score for the task is calculated.\n", + "4. Submit your task using qBraid. Use the Share Notebook feature on qBraid (See File > Share Notebook) and enter the email rickyyoung@qbraid.com. Once you click submit, if the share notebook feature works correctly, it should show that you receive no errors and the email you entered will disappear. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "Log in to Azure (once per session, don't need to do it if running from Azure workspace)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "!az login" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "## Step 1. Write the code" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# Run this code cell to import the modules required to work with Q# and Azure\n", + "import qsharp\n", + "from qsharp import azure" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "teamname=\"Quantum Wranglers\" # Update this field with your team name\n", + "task=[\"task2\"]\n", + "slack_id=\"U04JVDTAG4E\" # Update this field with Slack ID of the person who worked on this task as the troubleshooting contact" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# You don't need to run this cell, it defines Q# operations as Python types to keep IntelliSense happy\n", + "Task2_DumpMachineWrapper : qsharp.QSharpCallable = None\n", + "Task2_ResourceEstimationWrapper : qsharp.QSharpCallable = None" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "**The complete code for Task 2 should be in this cell.** \n", + "This cell can include additional open statements and helper operations and functions if your solution needs them. \n", + "If you define helper operations in other cells, they will not be picked up by the grader!" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "microsoft": { + "language": "qsharp" + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "%%qsharp\n", + "open Microsoft.Quantum.Canon;\n", + "open Microsoft.Quantum.Diagnostics;\n", + "\n", + "// Task 2. Celebrate MIT iQuHack!\n", + "// (input will contain 5 qubits)\n", + "operation Task2(input : Qubit[], target : Qubit) : Unit is Adj {\n", + " // Necessary\n", + " \n", + " ControlledOnInt(13, X)(input, target); // M\n", + " ControlledOnInt( 8, X)(input, target); // H\n", + " \n", + " // Can be simplified (pairs)\n", + " \n", + " //ControlledOnInt(20, X)(input, target); // T\n", + " //ControlledOnInt(21, X)(input, target); // U\n", + " \n", + " X(input[1]);\n", + " X(input[3]);\n", + " Controlled X([input[1], input[2], input[3], input[4]], target);\n", + " X(input[1]);\n", + " X(input[3]);\n", + " \n", + " \n", + " //ControlledOnInt(17, X)(input, target); // Q\n", + " //ControlledOnInt( 1, X)(input, target); // A\n", + " \n", + " X(input[1]);\n", + " X(input[2]);\n", + " X(input[3]);\n", + " Controlled X([input[0], input[1], input[2], input[3]], target);\n", + " X(input[1]);\n", + " X(input[2]);\n", + " X(input[3]);\n", + " \n", + " //ControlledOnInt( 3, X)(input, target); // C\n", + " //ControlledOnInt(11, X)(input, target); // K\n", + " \n", + " X(input[2]);\n", + " X(input[4]);\n", + " Controlled X([input[0], input[1], input[2], input[4]], target);\n", + " X(input[2]);\n", + " X(input[4]);\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "microsoft": { + "language": "qsharp" + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "%%qsharp\n", + "// Wrapper operation that allows you to observe the effects of the marking oracle by running it on a simulator.\n", + "operation Task2_DumpMachineWrapper() : Unit {\n", + " let N = 5;\n", + " use (input, target) = (Qubit[N], Qubit());\n", + " // Prepare an equal superposition of all input states in the input register.\n", + " ApplyToEach(H, input);\n", + " // Apply the oracle.\n", + " Task2(input, target);\n", + " // Print the state of the system after the oracle application.\n", + " DumpMachine();\n", + " ResetAll(input + [target]);\n", + "}\n", + "\n", + "// Wrapper operation that allows to run resource estimation for the task.\n", + "// This operation only allocates the qubits and applies the oracle once, not using any additional gates or measurements.\n", + "operation Task2_ResourceEstimationWrapper() : Unit {\n", + " let N = 5;\n", + " use (input, target) = (Qubit[N], Qubit());\n", + " Task2(input, target);\n", + "}" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "## Step 2. Run the code on a simulator to see what it does\n", + "You can also write your own code to explore the effects of the oracle (for example, applying it to different basis states and measuring the results)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# Note that in the output of this cell the target qubit corresponds to the rightmost bit\n", + "qsharp.config[\"dump.basisStateLabelingConvention\"]=\"Bitstring\"\n", + "qsharp.config[\"dump.phaseDisplayStyle\"]=\"None\"\n", + "# Uncomment the following line if you want to see only the entries with non-zero amplitudes\n", + "# qsharp.config[\"dump.truncateSmallAmplitudes\"]=True\n", + "Task2_DumpMachineWrapper.simulate()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "## Step 3. Evaluate the code using resource estimation" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# If you're using this notebook in Azure Quantum hosted notebooks, remove the credential=\"CLI\" parameter!\n", + "# If you're using this notebook in qBraid, keep it\n", + "qsharp.azure.connect(\n", + " resourceId=\"/subscriptions/6d61051a-6e40-4845-a03a-3c5160bb5629/resourceGroups/AzureQuantum/providers/Microsoft.Quantum/Workspaces/iQuHack-Workspace-micpap25\",\n", + " location=\"East US\",\n", + " credential=\"CLI\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "qsharp.azure.target(\"microsoft.estimator\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# Update job name to a more descriptive string to make it easier to find it in Job Management tab later\n", + "result = qsharp.azure.execute(Task2_ResourceEstimationWrapper, jobName=\"RE for the task 2\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# If you need to pull up the results of an old job, use its job ID with qsharp.azure.output command\n", + "# result = qsharp.azure.output(\"...\")\n", + "result" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# The function that extracts the relevant resource information from the resource estimation job results and produces your absolute score.\n", + "def evaluate_results(res) : \n", + " width = res['physicalCounts']['breakdown']['algorithmicLogicalQubits']\n", + " depth = res['physicalCounts']['breakdown']['algorithmicLogicalDepth']\n", + " print(f\"Logical algorithmic qubits = {width}\")\n", + " print(f\"Algorithmic depth = {depth}\")\n", + " print(f\"Score = {width * depth}\")\n", + " return width * depth\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "evaluate_results(result)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "%trace Task2_ResourceEstimationWrapper" + ] + } + ], + "metadata": { + "kernel_info": { + "name": "python3" + }, + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.9" + }, + "nteract": { + "version": "nteract-front-end@1.0.0" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/team_solutions/Quantum Wranglers/iQuHack-challenge-2023-task3.ipynb b/team_solutions/Quantum Wranglers/iQuHack-challenge-2023-task3.ipynb new file mode 100644 index 0000000..c5d3c7e --- /dev/null +++ b/team_solutions/Quantum Wranglers/iQuHack-challenge-2023-task3.ipynb @@ -0,0 +1,508 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "# MIT iQuHack Microsoft Challenge: Optimizing Quantum Oracles, Task 3\n", + "\n", + "To work on this task,\n", + "1. Use the notebook for this task. Each of the notebooks in the repository has the code of the corresponding task.\n", + "2. Update your team name and Slack ID variables in the next code cell (you can use different Slack IDs for different tasks if different team members work on them, but make sure to use the same team name throughout the Hackathon). Do not change the task variable!\n", + "3. Work on your task in the cell that contains operation `Task3`! Your goal is to rewrite the code so that it maintains its correctness, but requires as few resources as possible. See `evaluate_results` function for details on how your absolute score for the task is calculated.\n", + "4. Submit your task using qBraid. Use the Share Notebook feature on qBraid (See File > Share Notebook) and enter the email rickyyoung@qbraid.com. Once you click submit, if the share notebook feature works correctly, it should show that you receive no errors and the email you entered will disappear. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "Log in to Azure (once per session, don't need to do it if running from Azure workspace)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "!az login" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "## Step 1. Write the code" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# Run this code cell to import the modules required to work with Q# and Azure\n", + "import qsharp\n", + "from qsharp import azure" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "teamname=\"Quantum Wranglers\" # Update this field with your team name\n", + "task=[\"task3\"]\n", + "slack_id=\"U04JZ2Q9Z9B\" # Update this field with Slack ID of the person who worked on this task as the troubleshooting contact" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# You don't need to run this cell, it defines Q# operations as Python types to keep IntelliSense happy\n", + "Task3_DumpMachineWrapper : qsharp.QSharpCallable = None\n", + "Task3_ResourceEstimationWrapper : qsharp.QSharpCallable = None" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "**The complete code for Task 3 should be in this cell.** \n", + "This cell can include additional open statements and helper operations and functions if your solution needs them. \n", + "If you define helper operations in other cells, they will not be picked up by the grader!" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "microsoft": { + "language": "qsharp" + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "%%qsharp\n", + "open Microsoft.Quantum.Canon;\n", + "open Microsoft.Quantum.Diagnostics;\n", + "\n", + "// Task 3. \n", + "// (input will contain 6 qubits)\n", + "operation Task3(input : Qubit[], target : Qubit) : Unit is Adj {\n", + " //for i in [7, 11, 13, 14, 19, 21, 22, 25, 26, 28, 35, 37, 38, 41, 42, 44, 49, 50, 52, 56] {\n", + " // ControlledOnInt(i, X)(input, target);\n", + " //}\n", + " \n", + " // optimization 1:\n", + " //X(input[5]);\n", + " //Controlled Task3_0([input[5]], (input[...4], target));\n", + " //X(input[5]);\n", + " //Controlled Task3_1([input[5]], (input[...4], target));\n", + " \n", + " // optimization 2:\n", + " within {\n", + " X(input[5]);\n", + " X(input[4]);\n", + " }\n", + " apply {\n", + " Controlled Task3_00([input[5], input[4]], (input[...3], target)); // top bits: 00\n", + " }\n", + " Controlled Task3_11([input[5], input[4]], (input[...3], target)); // top bits: 11\n", + " \n", + " within {\n", + " CNOT(input[5], input[4]); // input[4] = input[5] ^ input[4]\n", + " }\n", + " apply {\n", + " Controlled Task3_01([input[4]], (input[...3], target)); // top bits: 01 or 10\n", + " }\n", + "}\n", + "\n", + "operation Task3_0(input : Qubit[], target : Qubit) : Unit is Adj + Ctl {\n", + " //for i in [7, 11, 13, 14, 19, 21, 22, 25, 26, 28] {\n", + " // ControlledOnInt(i, X)(input, target);\n", + " //}\n", + " X(input[4]);\n", + " Controlled Task3_00([input[4]], (input[...3], target));\n", + " X(input[4]);\n", + " Controlled Task3_01([input[4]], (input[...3], target));\n", + "}\n", + "\n", + "operation Task3_00(input : Qubit[], target : Qubit) : Unit is Adj + Ctl {\n", + " for i in [7, 11, 13, 14] {\n", + " ControlledOnInt(i, X)(input, target);\n", + " }\n", + "}\n", + "\n", + "operation Task3_01(input : Qubit[], target : Qubit) : Unit is Adj + Ctl {\n", + " for i in [3, 5, 6, 9, 10, 12] {\n", + " ControlledOnInt(i, X)(input, target);\n", + " }\n", + "}\n", + "\n", + "operation Task3_1(input : Qubit[], target : Qubit) : Unit is Adj + Ctl {\n", + " //for i in [3, 5, 6, 9, 10, 12, 17, 18, 20, 24] {\n", + " // ControlledOnInt(i, X)(input, target);\n", + " //}\n", + " X(input[4]);\n", + " Controlled Task3_01([input[4]], (input[...3], target));\n", + " X(input[4]);\n", + " Controlled Task3_11([input[4]], (input[...3], target));\n", + "}\n", + "\n", + "// same as Task3_01, we can optimize by re-using the circuit\n", + "//operation Task3_10(input : Qubit[], target : Qubit) : Unit is Adj + Ctl {\n", + "// for i in [3, 5, 6, 9, 10, 12] {\n", + "// ControlledOnInt(i, X)(input, target);\n", + "// }\n", + "//}\n", + "\n", + "operation Task3_11(input : Qubit[], target : Qubit) : Unit is Adj + Ctl {\n", + " for i in [1, 2, 4, 8] {\n", + " ControlledOnInt(i, X)(input, target);\n", + " }\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "microsoft": { + "language": "qsharp" + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "%%qsharp\n", + "// Wrapper operation that allows you to observe the effects of the marking oracle by running it on a simulator.\n", + "operation Task3_DumpMachineWrapper() : Unit {\n", + " let N = 6;\n", + " use (input, target) = (Qubit[N], Qubit());\n", + " // Prepare an equal superposition of all input states in the input register.\n", + " ApplyToEach(H, input);\n", + " // Apply the oracle.\n", + " Task3(input, target);\n", + " // Print the state of the system after the oracle application.\n", + " DumpMachine();\n", + " ResetAll(input + [target]);\n", + "}\n", + "\n", + "// Wrapper operation that allows to run resource estimation for the task.\n", + "// This operation only allocates the qubits and applies the oracle once, not using any additional gates or measurements.\n", + "operation Task3_ResourceEstimationWrapper() : Unit {\n", + " let N = 6;\n", + " use (input, target) = (Qubit[N], Qubit());\n", + " Task3(input, target);\n", + "}" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "## Step 2. Run the code on a simulator to see what it does\n", + "You can also write your own code to explore the effects of the oracle (for example, applying it to different basis states and measuring the results)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# Note that in the output of this cell the target qubit corresponds to the rightmost bit\n", + "qsharp.config[\"dump.basisStateLabelingConvention\"]=\"Bitstring\"\n", + "qsharp.config[\"dump.phaseDisplayStyle\"]=\"None\"\n", + "# Uncomment the following line if you want to see only the entries with non-zero amplitudes\n", + "# qsharp.config[\"dump.truncateSmallAmplitudes\"]=True\n", + "Task3_DumpMachineWrapper.simulate()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "## Step 3. Evaluate the code using resource estimation" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# If you're using this notebook in Azure Quantum hosted notebooks, remove the credential=\"CLI\" parameter!\n", + "# If you're using this notebook in qBraid, keep it\n", + "qsharp.azure.connect(\n", + " resourceId=\"/subscriptions/1b6547eb-50f1-4733-bd8b-4b8c52ff49bd/resourceGroups/AzureQuantum/providers/Microsoft.Quantum/Workspaces/QuantumTests\",\n", + " location=\"West US\",\n", + " credential=\"CLI\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "qsharp.azure.target(\"microsoft.estimator\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# Update job name to a more descriptive string to make it easier to find it in Job Management tab later\n", + "result = qsharp.azure.execute(Task3_ResourceEstimationWrapper, jobName=\"RE for the task 3\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# If you need to pull up the results of an old job, use its job ID with qsharp.azure.output command\n", + "# result = qsharp.azure.output(\"...\")\n", + "result" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# The function that extracts the relevant resource information from the resource estimation job results and produces your absolute score.\n", + "def evaluate_results(res) : \n", + " width = res['physicalCounts']['breakdown']['algorithmicLogicalQubits']\n", + " depth = res['physicalCounts']['breakdown']['algorithmicLogicalDepth']\n", + " print(f\"Logical algorithmic qubits = {width}\")\n", + " print(f\"Algorithmic depth = {depth}\")\n", + " print(f\"Score = {width * depth}\")\n", + " return width * depth\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false, + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "evaluate_results(result)" + ] + } + ], + "metadata": { + "kernel_info": { + "name": "python3" + }, + "kernelspec": { + "display_name": "Python 3 [Q#]", + "language": "python", + "name": "python3_qsharp_b54crn" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.10" + }, + "nteract": { + "version": "nteract-front-end@1.0.0" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/team_solutions/Quantum Wranglers/iQuHack-challenge-2023-task7.ipynb b/team_solutions/Quantum Wranglers/iQuHack-challenge-2023-task7.ipynb new file mode 100644 index 0000000..495a6ed --- /dev/null +++ b/team_solutions/Quantum Wranglers/iQuHack-challenge-2023-task7.ipynb @@ -0,0 +1,433 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "# MIT iQuHack Microsoft Challenge: Optimizing Quantum Oracles, Task 7\n", + "\n", + "To work on this task,\n", + "1. Use the notebook for this task. Each of the notebooks in the repository has the code of the corresponding task.\n", + "2. Update your team name and Slack ID variables in the next code cell (you can use different Slack IDs for different tasks if different team members work on them, but make sure to use the same team name throughout the Hackathon). Do not change the task variable!\n", + "3. Work on your task in the cell that contains operation `Task7`! Your goal is to rewrite the code so that it maintains its correctness, but requires as few resources as possible. See `evaluate_results` function for details on how your absolute score for the task is calculated.\n", + "4. Submit your task using qBraid. Use the Share Notebook feature on qBraid (See File > Share Notebook) and enter the email rickyyoung@qbraid.com. Once you click submit, if the share notebook feature works correctly, it should show that you receive no errors and the email you entered will disappear. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "Log in to Azure (once per session, don't need to do it if running from Azure workspace)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "!az login" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "## Step 1. Write the code" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# Run this code cell to import the modules required to work with Q# and Azure\n", + "import qsharp\n", + "from qsharp import azure" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "teamname=\"Quantum Wranglers\" # Update this field with your team name\n", + "task=[\"task7\"]\n", + "slack_id=\"U04JVDTAG4E\" # Update this field with Slack ID of the person who worked on this task as the troubleshooting contact" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# You don't need to run this cell, it defines Q# operations as Python types to keep IntelliSense happy\n", + "Task7_DumpMachineWrapper : qsharp.QSharpCallable = None\n", + "Task7_ResourceEstimationWrapper : qsharp.QSharpCallable = None" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "**The complete code for Task 7 should be in this cell.** \n", + "This cell can include additional open statements and helper operations and functions if your solution needs them. \n", + "If you define helper operations in other cells, they will not be picked up by the grader!" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "microsoft": { + "language": "qsharp" + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "%%qsharp\n", + "open Microsoft.Quantum.Canon;\n", + "open Microsoft.Quantum.Diagnostics;\n", + "\n", + "// Task 7. \n", + "// (input will contain 7 qubits)\n", + "operation Task7(input : Qubit[], target : Qubit) : Unit is Adj {\n", + " for i in [9,18,19,25,36,37,38,39,41,50,51,57,72,73,74,75,76,77,78,79,82,83,89,100,101,102,103,105,114,115,121] {\n", + " ControlledOnInt(i, X)(input, target);\n", + " }\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "microsoft": { + "language": "qsharp" + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "%%qsharp\n", + "// Wrapper operation that allows you to observe the effects of the marking oracle by running it on a simulator.\n", + "operation Task7_DumpMachineWrapper() : Unit {\n", + " let N = 7;\n", + " use (input, target) = (Qubit[N], Qubit());\n", + " // Prepare an equal superposition of all input states in the input register.\n", + " ApplyToEach(H, input);\n", + " // Apply the oracle.\n", + " Task7(input, target);\n", + " // Print the state of the system after the oracle application.\n", + " DumpMachine();\n", + " ResetAll(input + [target]);\n", + "}\n", + "\n", + "// Wrapper operation that allows to run resource estimation for the task.\n", + "// This operation only allocates the qubits and applies the oracle once, not using any additional gates or measurements.\n", + "operation Task7_ResourceEstimationWrapper() : Unit {\n", + " let N = 7;\n", + " use (input, target) = (Qubit[N], Qubit());\n", + " Task7(input, target);\n", + "}" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "## Step 2. Run the code on a simulator to see what it does\n", + "You can also write your own code to explore the effects of the oracle (for example, applying it to different basis states and measuring the results)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# Note that in the output of this cell the target qubit corresponds to the rightmost bit\n", + "qsharp.config[\"dump.basisStateLabelingConvention\"]=\"Bitstring\"\n", + "qsharp.config[\"dump.phaseDisplayStyle\"]=\"None\"\n", + "# Uncomment the following line if you want to see only the entries with non-zero amplitudes\n", + "qsharp.config[\"dump.truncateSmallAmplitudes\"]=True\n", + "Task7_DumpMachineWrapper.simulate()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "nteract": { + "transient": { + "deleting": false + } + } + }, + "source": [ + "## Step 3. Evaluate the code using resource estimation" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# If you're using this notebook in Azure Quantum hosted notebooks, remove the credential=\"CLI\" parameter!\n", + "# If you're using this notebook in qBraid, keep it\n", + "qsharp.azure.connect(\n", + " resourceId=\"/subscriptions/6d61051a-6e40-4845-a03a-3c5160bb5629/resourceGroups/AzureQuantum/providers/Microsoft.Quantum/Workspaces/iQuHack-Workspace-micpap25\",\n", + " location=\"East US\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "qsharp.azure.target(\"microsoft.estimator\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# Update job name to a more descriptive string to make it easier to find it in Job Management tab later\n", + "result = qsharp.azure.execute(Task7_ResourceEstimationWrapper, jobName=\"RE for the task 7\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# If you need to pull up the results of an old job, use its job ID with qsharp.azure.output command\n", + "# result = qsharp.azure.output(\"...\")\n", + "result" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "# The function that extracts the relevant resource information from the resource estimation job results and produces your absolute score.\n", + "def evaluate_results(res) : \n", + " width = res['physicalCounts']['breakdown']['algorithmicLogicalQubits']\n", + " depth = res['physicalCounts']['breakdown']['algorithmicLogicalDepth']\n", + " print(f\"Logical algorithmic qubits = {width}\")\n", + " print(f\"Algorithmic depth = {depth}\")\n", + " print(f\"Score = {width * depth}\")\n", + " return width * depth\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "jupyter": { + "outputs_hidden": false, + "source_hidden": false + }, + "nteract": { + "transient": { + "deleting": false + } + } + }, + "outputs": [], + "source": [ + "evaluate_results(result)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernel_info": { + "name": "python3" + }, + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.9" + }, + "nteract": { + "version": "nteract-front-end@1.0.0" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} From 7ddfbf8b8df8d7931a12b719f93b838ac32a80a5 Mon Sep 17 00:00:00 2001 From: Michael Papadopoulos Date: Sun, 29 Jan 2023 09:13:37 -0500 Subject: [PATCH 13/13] Reset changes --- iQuHack-challenge-2023-task1.ipynb | 36 +- iQuHack-challenge-2023-task2.ipynb | 77 +- iQuHack-challenge-2023-task3.ipynb | 82 +- iQuHack-challenge-2023-task7.ipynb | 4629 +--------------------------- 4 files changed, 101 insertions(+), 4723 deletions(-) diff --git a/iQuHack-challenge-2023-task1.ipynb b/iQuHack-challenge-2023-task1.ipynb index afbfe30..6042c2b 100644 --- a/iQuHack-challenge-2023-task1.ipynb +++ b/iQuHack-challenge-2023-task1.ipynb @@ -36,6 +36,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -68,6 +69,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -89,6 +91,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -101,15 +104,16 @@ }, "outputs": [], "source": [ - "teamname=\"Quantum Wranglers\" # Update this field with your team name\n", + "teamname=\"msft_is_the_best\" # Update this field with your team name\n", "task=[\"task1\"]\n", - "slack_id=\"U04JVDTAG4E\" # Update this field with Slack ID of the person who worked on this task as the troubleshooting contact" + "slack_id=\"myslackid\" # Update this field with Slack ID of the person who worked on this task as the troubleshooting contact" ] }, { "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -146,6 +150,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -168,12 +173,15 @@ "// Task 1. Warm up with simple bit manipulation\n", "// (input will contain 3 qubits)\n", "operation Task1(input : Qubit[], target : Qubit) : Unit is Adj {\n", + " let N = Length(input);\n", + " use aux = Qubit[N - 1];\n", " within {\n", - " CNOT(input[2], input[0]);\n", - " CNOT(input[2], input[1]);\n", - " CNOT(input[1], input[0]);\n", + " for i in 0 .. N - 2 {\n", + " CNOT(input[i], aux[i]);\n", + " CNOT(input[i + 1], aux[i]);\n", + " }\n", " } apply {\n", - " Controlled X([input[1], input[0]], target);\n", + " Controlled X(aux, target);\n", " }\n", "}" ] @@ -182,6 +190,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -238,6 +247,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -275,6 +285,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -290,8 +301,8 @@ "# If you're using this notebook in Azure Quantum hosted notebooks, remove the credential=\"CLI\" parameter!\n", "# If you're using this notebook in qBraid, keep it\n", "qsharp.azure.connect(\n", - " resourceId=\"/subscriptions/6d61051a-6e40-4845-a03a-3c5160bb5629/resourceGroups/AzureQuantum/providers/Microsoft.Quantum/Workspaces/iQuHack-Workspace-micpap25\",\n", - " location=\"East US\",\n", + " resourceId=\"...\",\n", + " location=\"...\",\n", " credential=\"CLI\")" ] }, @@ -299,6 +310,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -318,6 +330,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -338,6 +351,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -359,6 +373,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -385,6 +400,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -406,7 +422,7 @@ "name": "python3" }, "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "Python 3 [Default]", "language": "python", "name": "python3" }, @@ -420,7 +436,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.9" + "version": "3.9.10" }, "nteract": { "version": "nteract-front-end@1.0.0" diff --git a/iQuHack-challenge-2023-task2.ipynb b/iQuHack-challenge-2023-task2.ipynb index bc06808..44cc5cd 100644 --- a/iQuHack-challenge-2023-task2.ipynb +++ b/iQuHack-challenge-2023-task2.ipynb @@ -36,6 +36,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -68,6 +69,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -89,6 +91,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -101,15 +104,16 @@ }, "outputs": [], "source": [ - "teamname=\"Quantum Wranglers\" # Update this field with your team name\n", + "teamname=\"msft_is_the_best\" # Update this field with your team name\n", "task=[\"task2\"]\n", - "slack_id=\"U04JVDTAG4E\" # Update this field with Slack ID of the person who worked on this task as the troubleshooting contact" + "slack_id=\"myslackid\" # Update this field with Slack ID of the person who worked on this task as the troubleshooting contact" ] }, { "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -146,6 +150,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -168,42 +173,17 @@ "// Task 2. Celebrate MIT iQuHack!\n", "// (input will contain 5 qubits)\n", "operation Task2(input : Qubit[], target : Qubit) : Unit is Adj {\n", - " // Necessary\n", - " \n", " ControlledOnInt(13, X)(input, target); // M\n", + " ControlledOnInt( 9, X)(input, target); // I\n", + " ControlledOnInt(20, X)(input, target); // T\n", + "\n", + " ControlledOnInt( 9, X)(input, target); // I\n", + " ControlledOnInt(17, X)(input, target); // Q\n", + " ControlledOnInt(21, X)(input, target); // U\n", " ControlledOnInt( 8, X)(input, target); // H\n", - " \n", - " // Can be simplified (pairs)\n", - " \n", - " //ControlledOnInt(20, X)(input, target); // T\n", - " //ControlledOnInt(21, X)(input, target); // U\n", - " \n", - " X(input[1]);\n", - " X(input[3]);\n", - " Controlled X([input[1], input[2], input[3], input[4]], target);\n", - " X(input[1]);\n", - " X(input[3]);\n", - " \n", - " \n", - " //ControlledOnInt(17, X)(input, target); // Q\n", - " //ControlledOnInt( 1, X)(input, target); // A\n", - " \n", - " X(input[1]);\n", - " X(input[2]);\n", - " X(input[3]);\n", - " Controlled X([input[0], input[1], input[2], input[3]], target);\n", - " X(input[1]);\n", - " X(input[2]);\n", - " X(input[3]);\n", - " \n", - " //ControlledOnInt( 3, X)(input, target); // C\n", - " //ControlledOnInt(11, X)(input, target); // K\n", - " \n", - " X(input[2]);\n", - " X(input[4]);\n", - " Controlled X([input[0], input[1], input[2], input[4]], target);\n", - " X(input[2]);\n", - " X(input[4]);\n", + " ControlledOnInt( 1, X)(input, target); // A\n", + " ControlledOnInt( 3, X)(input, target); // C\n", + " ControlledOnInt(11, X)(input, target); // K\n", "}" ] }, @@ -211,6 +191,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -267,6 +248,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -304,6 +286,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -319,8 +302,8 @@ "# If you're using this notebook in Azure Quantum hosted notebooks, remove the credential=\"CLI\" parameter!\n", "# If you're using this notebook in qBraid, keep it\n", "qsharp.azure.connect(\n", - " resourceId=\"/subscriptions/6d61051a-6e40-4845-a03a-3c5160bb5629/resourceGroups/AzureQuantum/providers/Microsoft.Quantum/Workspaces/iQuHack-Workspace-micpap25\",\n", - " location=\"East US\",\n", + " resourceId=\"...\",\n", + " location=\"...\",\n", " credential=\"CLI\")" ] }, @@ -328,6 +311,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -347,6 +331,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -367,6 +352,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -388,6 +374,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -414,6 +401,7 @@ "cell_type": "code", "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -428,15 +416,6 @@ "source": [ "evaluate_results(result)" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "%trace Task2_ResourceEstimationWrapper" - ] } ], "metadata": { @@ -444,7 +423,7 @@ "name": "python3" }, "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "Python 3 [Default]", "language": "python", "name": "python3" }, @@ -458,7 +437,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.9" + "version": "3.9.10" }, "nteract": { "version": "nteract-front-end@1.0.0" diff --git a/iQuHack-challenge-2023-task3.ipynb b/iQuHack-challenge-2023-task3.ipynb index bfaf4b5..77ca776 100644 --- a/iQuHack-challenge-2023-task3.ipynb +++ b/iQuHack-challenge-2023-task3.ipynb @@ -104,9 +104,9 @@ }, "outputs": [], "source": [ - "teamname=\"Quantum Wranglers\" # Update this field with your team name\n", + "teamname=\"msft_is_the_best\" # Update this field with your team name\n", "task=[\"task3\"]\n", - "slack_id=\"U04JVDTAG4E\" # Update this field with Slack ID of the person who worked on this task as the troubleshooting contact" + "slack_id=\"myslackid\" # Update this field with Slack ID of the person who worked on this task as the troubleshooting contact" ] }, { @@ -173,75 +173,7 @@ "// Task 3. \n", "// (input will contain 6 qubits)\n", "operation Task3(input : Qubit[], target : Qubit) : Unit is Adj {\n", - " //for i in [7, 11, 13, 14, 19, 21, 22, 25, 26, 28, 35, 37, 38, 41, 42, 44, 49, 50, 52, 56] {\n", - " // ControlledOnInt(i, X)(input, target);\n", - " //}\n", - " \n", - " // optimization 1:\n", - " //X(input[5]);\n", - " //Controlled Task3_0([input[5]], (input[...4], target));\n", - " //X(input[5]);\n", - " //Controlled Task3_1([input[5]], (input[...4], target));\n", - " \n", - " // optimization 2:\n", - " within {\n", - " X(input[5]);\n", - " X(input[4]);\n", - " }\n", - " apply {\n", - " Controlled Task3_00([input[5], input[4]], (input[...3], target)); // top bits: 00\n", - " }\n", - " Controlled Task3_11([input[5], input[4]], (input[...3], target)); // top bits: 11\n", - " \n", - " within {\n", - " CNOT(input[5], input[4]); // input[4] = input[5] ^ input[4]\n", - " }\n", - " apply {\n", - " Controlled Task3_01([input[4]], (input[...3], target)); // top bits: 01 or 10\n", - " }\n", - "}\n", - "\n", - "operation Task3_0(input : Qubit[], target : Qubit) : Unit is Adj + Ctl {\n", - " //for i in [7, 11, 13, 14, 19, 21, 22, 25, 26, 28] {\n", - " // ControlledOnInt(i, X)(input, target);\n", - " //}\n", - " X(input[4]);\n", - " Controlled Task3_00([input[4]], (input[...3], target));\n", - " X(input[4]);\n", - " Controlled Task3_01([input[4]], (input[...3], target));\n", - "}\n", - "\n", - "operation Task3_00(input : Qubit[], target : Qubit) : Unit is Adj + Ctl {\n", - " for i in [7, 11, 13, 14] {\n", - " ControlledOnInt(i, X)(input, target);\n", - " }\n", - "}\n", - "\n", - "operation Task3_01(input : Qubit[], target : Qubit) : Unit is Adj + Ctl {\n", - " for i in [3, 5, 6, 9, 10, 12] {\n", - " ControlledOnInt(i, X)(input, target);\n", - " }\n", - "}\n", - "\n", - "operation Task3_1(input : Qubit[], target : Qubit) : Unit is Adj + Ctl {\n", - " //for i in [3, 5, 6, 9, 10, 12, 17, 18, 20, 24] {\n", - " // ControlledOnInt(i, X)(input, target);\n", - " //}\n", - " X(input[4]);\n", - " Controlled Task3_01([input[4]], (input[...3], target));\n", - " X(input[4]);\n", - " Controlled Task3_11([input[4]], (input[...3], target));\n", - "}\n", - "\n", - "// same as Task3_01, we can optimize by re-using the circuit\n", - "//operation Task3_10(input : Qubit[], target : Qubit) : Unit is Adj + Ctl {\n", - "// for i in [3, 5, 6, 9, 10, 12] {\n", - "// ControlledOnInt(i, X)(input, target);\n", - "// }\n", - "//}\n", - "\n", - "operation Task3_11(input : Qubit[], target : Qubit) : Unit is Adj + Ctl {\n", - " for i in [1, 2, 4, 8] {\n", + " for i in [7, 11, 13, 14, 19, 21, 22, 25, 26, 28, 35, 37, 38, 41, 42, 44, 49, 50, 52, 56] {\n", " ControlledOnInt(i, X)(input, target);\n", " }\n", "}" @@ -362,8 +294,8 @@ "# If you're using this notebook in Azure Quantum hosted notebooks, remove the credential=\"CLI\" parameter!\n", "# If you're using this notebook in qBraid, keep it\n", "qsharp.azure.connect(\n", - " resourceId=\"/subscriptions/1b6547eb-50f1-4733-bd8b-4b8c52ff49bd/resourceGroups/AzureQuantum/providers/Microsoft.Quantum/Workspaces/QuantumTests\",\n", - " location=\"West US\",\n", + " resourceId=\"...\",\n", + " location=\"...\",\n", " credential=\"CLI\")" ] }, @@ -483,9 +415,9 @@ "name": "python3" }, "kernelspec": { - "display_name": "Python 3 [Q#]", + "display_name": "Python 3 [Default]", "language": "python", - "name": "python3_qsharp_b54crn" + "name": "python3" }, "language_info": { "codemirror_mode": { diff --git a/iQuHack-challenge-2023-task7.ipynb b/iQuHack-challenge-2023-task7.ipynb index 2f0c09e..2670c29 100644 --- a/iQuHack-challenge-2023-task7.ipynb +++ b/iQuHack-challenge-2023-task7.ipynb @@ -34,8 +34,9 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -46,47 +47,7 @@ } } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[\n", - " {\n", - " \"cloudName\": \"AzureCloud\",\n", - " \"homeTenantId\": \"aaf653e1-0bcd-4c2c-8658-12eb03e15774\",\n", - " \"id\": \"6d61051a-6e40-4845-a03a-3c5160bb5629\",\n", - " \"isDefault\": true,\n", - " \"managedByTenants\": [\n", - " {\n", - " \"tenantId\": \"d0ecd01b-d782-448e-bae0-c3cad0e0543a\"\n", - " },\n", - " {\n", - " \"tenantId\": \"94c4857e-1130-4ab8-8eac-069b40c9db20\"\n", - " },\n", - " {\n", - " \"tenantId\": \"f702a9dc-ae48-4dc7-8f0a-8155a6dfa4e5\"\n", - " }\n", - " ],\n", - " \"name\": \"Azure for Students\",\n", - " \"state\": \"Enabled\",\n", - " \"tenantId\": \"aaf653e1-0bcd-4c2c-8658-12eb03e15774\",\n", - " \"user\": {\n", - " \"name\": \"papadm2@rpi.edu\",\n", - " \"type\": \"user\"\n", - " }\n", - " }\n", - "]\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "WARNING: A web browser has been opened at https://login.microsoftonline.com/organizations/oauth2/v2.0/authorize. Please continue the login in the web browser. If no web browser is available or if the web browser fails to open, use device code flow with `az login --use-device-code`.\n" - ] - } - ], + "outputs": [], "source": [ "!az login" ] @@ -106,8 +67,9 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -127,8 +89,9 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -141,15 +104,16 @@ }, "outputs": [], "source": [ - "teamname=\"Quantum Wranglers\" # Update this field with your team name\n", + "teamname=\"msft_is_the_best\" # Update this field with your team name\n", "task=[\"task7\"]\n", - "slack_id=\"U04JVDTAG4E\" # Update this field with Slack ID of the person who worked on this task as the troubleshooting contact" + "slack_id=\"myslackid\" # Update this field with Slack ID of the person who worked on this task as the troubleshooting contact" ] }, { "cell_type": "code", - "execution_count": 52, + "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -184,8 +148,9 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -216,8 +181,9 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -272,8 +238,9 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -284,3374 +251,7 @@ } } }, - "outputs": [ - { - "data": { - "application/x-qsharp-data": 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\r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "
Qubit IDs0, 1, 2, 3, 4, 5, 6, 7
Basis state (bitstring)AmplitudeMeas. Pr.
$\\left|00000000\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00000010\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00000100\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00000110\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00001000\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00001010\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00001100\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00001110\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00010000\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|0001001100000000\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00010100\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00010110\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00011000\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00011010\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00011100\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00011110\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00100000\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00100010\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|0010010100000000\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|0010011100000000\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00101000\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00101010\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00101100\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00101110\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00110000\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|0011001100000000\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
$\\left|00110100\\right\\rangle$$0.0884 + 0.0000 i$\r\n", - " \r\n", - " \r\n", - "

\r\n", - "

\r\n", - "
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"execution_count": 65, + "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -3688,71 +289,21 @@ } } }, - "outputs": [ - { - "data": { - "application/x-qsharp-data": "\"Connecting to Azure Quantum...\"", - "text/plain": [ - "Connecting to Azure Quantum..." - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Authenticated using Azure.Identity.AzureCliCredential\n", - "\n", - "\n", - "Connected to Azure Quantum workspace iQuHack-Workspace-micpap25 in location eastus.\n" - ] - }, - { - "data": { - "text/plain": [ - "[{'id': 'ionq.qpu', 'current_availability': {}, 'average_queue_time': 302694},\n", - " {'id': 'ionq.qpu.aria-1', 'current_availability': {}, 'average_queue_time': 356530},\n", - " {'id': 'ionq.simulator', 'current_availability': {}, 'average_queue_time': 2},\n", - " {'id': 'microsoft.estimator', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.hqs-lt-s1', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.hqs-lt-s1-apival', 'current_availability': {}, 'average_queue_time': 1},\n", - " {'id': 'quantinuum.hqs-lt-s2', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.hqs-lt-s2-apival', 'current_availability': {}, 'average_queue_time': 1},\n", - " {'id': 'quantinuum.hqs-lt-s1-sim', 'current_availability': {}, 'average_queue_time': 70},\n", - " {'id': 'quantinuum.hqs-lt-s2-sim', 'current_availability': {}, 'average_queue_time': 199},\n", - " {'id': 'quantinuum.hqs-lt', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.qpu.h1-1', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.sim.h1-1sc', 'current_availability': {}, 'average_queue_time': 1},\n", - " {'id': 'quantinuum.qpu.h1-2', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'quantinuum.sim.h1-2sc', 'current_availability': {}, 'average_queue_time': 1},\n", - " {'id': 'quantinuum.sim.h1-1e', 'current_availability': {}, 'average_queue_time': 70},\n", - " {'id': 'quantinuum.sim.h1-2e', 'current_availability': {}, 'average_queue_time': 199},\n", - " {'id': 'quantinuum.qpu.h1', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'rigetti.sim.qvm', 'current_availability': {}, 'average_queue_time': 5},\n", - " {'id': 'rigetti.qpu.aspen-11', 'current_availability': {}, 'average_queue_time': 0},\n", - " {'id': 'rigetti.qpu.aspen-m-2', 'current_availability': {}, 'average_queue_time': 5},\n", - " {'id': 'rigetti.qpu.aspen-m-3', 'current_availability': {}, 'average_queue_time': 5}]" - ] - }, - "execution_count": 65, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# If you're using this notebook in Azure Quantum hosted notebooks, remove the credential=\"CLI\" parameter!\n", "# If you're using this notebook in qBraid, keep it\n", "qsharp.azure.connect(\n", - " resourceId=\"/subscriptions/6d61051a-6e40-4845-a03a-3c5160bb5629/resourceGroups/AzureQuantum/providers/Microsoft.Quantum/Workspaces/iQuHack-Workspace-micpap25\",\n", - " location=\"East US\")" + " resourceId=\"...\",\n", + " location=\"...\",\n", + " credential=\"CLI\")" ] }, { "cell_type": "code", - "execution_count": 66, + "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -3763,34 +314,16 @@ } } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Loading package Microsoft.Quantum.Providers.Core and dependencies...\r\n", - "Active target is now microsoft.estimator\r\n" - ] - }, - { - "data": { - "text/plain": [ - "{'id': 'microsoft.estimator', 'current_availability': {}, 'average_queue_time': 0}" - ] - }, - "execution_count": 66, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "qsharp.azure.target(\"microsoft.estimator\")" ] }, { "cell_type": "code", - "execution_count": 67, + "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -3801,21 +334,7 @@ } } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Submitting Task7_ResourceEstimationWrapper to target microsoft.estimator...\n", - "Job successfully submitted.\n", - " Job name: RE for the task 7\n", - " Job ID: 5600345c-c75e-4170-a4e5-4937240ce0e0\n", - "Waiting up to 30 seconds for Azure Quantum job to complete...\n", - "[11:46:30 PM] Current job status: Executing\n", - "[11:46:35 PM] Current job status: Succeeded\n" - ] - } - ], + "outputs": [], "source": [ "# Update job name to a more descriptive string to make it easier to find it in Job Management tab later\n", "result = qsharp.azure.execute(Task7_ResourceEstimationWrapper, jobName=\"RE for the task 7\")" @@ -3823,8 +342,9 @@ }, { "cell_type": "code", - "execution_count": 68, + "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -3835,1051 +355,7 @@ } } }, - "outputs": [ - { - "data": { - "application/x-qsharp-data": "{\"errorBudget\":{\"logical\":0.0005,\"rotations\":0.0,\"tstates\":0.0005},\"jobParams\":{\"errorBudget\":0.001,\"qecScheme\":{\"crossingPrefactor\":0.03,\"errorCorrectionThreshold\":0.01,\"logicalCycleTime\":\"(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance\",\"name\":\"surface_code\",\"physicalQubitsPerLogicalQubit\":\"2 * codeDistance * codeDistance\"},\"qubitParams\":{\"instructionSet\":\"GateBased\",\"name\":\"qubit_gate_ns_e3\",\"oneQubitGateErrorRate\":0.001,\"oneQubitGateTime\":\"50 ns\",\"oneQubitMeasurementErrorRate\":0.001,\"oneQubitMeasurementTime\":\"100 ns\",\"tGateErrorRate\":0.001,\"tGateTime\":\"50 ns\",\"twoQubitGateErrorRate\":0.001,\"twoQubitGateTime\":\"50 ns\"}},\"logicalCounts\":{\"ccixCount\":155,\"cczCount\":31,\"measurementCount\":155,\"numQubits\":13,\"rotationCount\":0,\"rotationDepth\":0,\"tCount\":0},\"logicalQubit\":{\"codeDistance\":13,\"logicalCycleTime\":5200.0,\"logicalErrorRate\":3.000000000000002E-09,\"physicalQubits\":338},\"physicalCounts\":{\"breakdown\":{\"algorithmicLogicalDepth\":713,\"algorithmicLogicalQubits\":38,\"cliffordErrorRate\":0.001,\"logicalDepth\":713,\"numTfactories\":12,\"numTfactoryRuns\":62,\"numTsPerRotation\":null,\"numTstates\":744,\"physicalQubitsForAlgorithm\":12844,\"physicalQubitsForTfactories\":116160,\"requiredLogicalQubitErrorRate\":1.845427031815162E-08,\"requiredLogicalTstateErrorRate\":6.720430107526882E-07},\"physicalQubits\":129004,\"runtime\":3707600},\"physicalCountsFormatted\":{\"codeDistancePerRound\":\"11\",\"errorBudget\":\"1.00e-3\",\"errorBudgetLogical\":\"5.00e-4\",\"errorBudgetRotations\":\"0.00e0\",\"errorBudgetTstates\":\"5.00e-4\",\"logicalCycleTime\":\"5us 200ns\",\"logicalErrorRate\":\"3.00e-9\",\"numTsPerRotation\":\"No rotations in algorithm\",\"numUnitsPerRound\":\"2\",\"physicalQubitsForTfactoriesPercentage\":\"90.04 %\",\"physicalQubitsPerRound\":\"9680\",\"requiredLogicalQubitErrorRate\":\"1.85e-8\",\"requiredLogicalTstateErrorRate\":\"6.72e-7\",\"runtime\":\"3ms 707us 600ns\",\"tfactoryRuntime\":\"57us 200ns\",\"tfactoryRuntimePerRound\":\"57us 200ns\",\"tstateLogicalErrorRate\":\"2.48e-7\",\"unitNamePerRound\":\"15-to-1 space efficient logical\"},\"reportData\":{\"assumptions\":[\"_More details on the following lists of assumptions can be found in the paper [Accessing requirements for scaling quantum computers and their applications](https://aka.ms/AQ/RE/Paper)._\",\"**Uniform independent physical noise.** We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.\",\"**Efficient classical computation.** We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.\",\"**Extraction circuits for planar quantum ISA.** We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).\",\"**Uniform independent logical noise.** We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.\",\"**Negligible Clifford costs for synthesis.** We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.\",\"**Smooth magic state consumption rate.** We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.\"],\"groups\":[{\"alwaysVisible\":true,\"entries\":[{\"description\":\"Number of physical qubits\",\"explanation\":\"This value represents the total number of physical qubits, which is the sum of 12844 physical qubits to implement the algorithm logic, and 116160 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.\",\"label\":\"Physical qubits\",\"path\":\"physicalCounts/physicalQubits\"},{\"description\":\"Total runtime\",\"explanation\":\"This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (5us 200ns) multiplied by the 713 logical cycles to run the algorithm. If however the duration of a single T factory (here: 57us 200ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.\",\"label\":\"Runtime\",\"path\":\"physicalCountsFormatted/runtime\"}],\"title\":\"Physical resource estimates\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of logical qubits for the algorithm after layout\",\"explanation\":\"Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the $Q_{\\\\rm alg} = 13$ logical qubits in the input algorithm, we require in total $2 \\\\cdot Q_{\\\\rm alg} + \\\\lceil \\\\sqrt{8 \\\\cdot Q_{\\\\rm alg}}\\\\rceil + 1 = 38$ logical qubits.\",\"label\":\"Logical algorithmic qubits\",\"path\":\"physicalCounts/breakdown/algorithmicLogicalQubits\"},{\"description\":\"Number of logical cycles for the algorithm\",\"explanation\":\"To execute the algorithm using _Parallel Synthesis Sequential Pauli Computation_ (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 155 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 31 CCZ and 155 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.\",\"label\":\"Algorithmic depth\",\"path\":\"physicalCounts/breakdown/algorithmicLogicalDepth\"},{\"description\":\"Number of logical cycles performed\",\"explanation\":\"This number is usually equal to the logical depth of the algorithm, which is 713. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.\",\"label\":\"Logical depth\",\"path\":\"physicalCounts/breakdown/logicalDepth\"},{\"description\":\"Number of T states consumed by the algorithm\",\"explanation\":\"To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 31 CCZ and 155 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.\",\"label\":\"Number of T states\",\"path\":\"physicalCounts/breakdown/numTstates\"},{\"description\":\"Number of T factories capable of producing the demanded 744 T states during the algorithm's runtime\",\"explanation\":\"The total number of T factories 12 that are executed in parallel is computed as $\\\\left\\\\lceil\\\\dfrac{744\\\\;\\\\text{T states} \\\\cdot 57us 200ns\\\\;\\\\text{T factory duration}}{1\\\\;\\\\text{T states per T factory} \\\\cdot 3ms 707us 600ns\\\\;\\\\text{algorithm runtime}}\\\\right\\\\rceil$\",\"label\":\"Number of T factories\",\"path\":\"physicalCounts/breakdown/numTfactories\"},{\"description\":\"Number of times all T factories are invoked\",\"explanation\":\"In order to prepare the 744 T states, the 12 copies of the T factory are repeatedly invoked 62 times.\",\"label\":\"Number of T factory invocations\",\"path\":\"physicalCounts/breakdown/numTfactoryRuns\"},{\"description\":\"Number of physical qubits for the algorithm after layout\",\"explanation\":\"The 12844 are the product of the 38 logical qubits after layout and the 338 physical qubits that encode a single logical qubit.\",\"label\":\"Physical algorithmic qubits\",\"path\":\"physicalCounts/breakdown/physicalQubitsForAlgorithm\"},{\"description\":\"Number of physical qubits for the T factories\",\"explanation\":\"Each T factory requires 9680 physical qubits and we run 12 in parallel, therefore we need $116160 = 9680 \\\\cdot 12$ qubits.\",\"label\":\"Physical T factory qubits\",\"path\":\"physicalCounts/breakdown/physicalQubitsForTfactories\"},{\"description\":\"The minimum logical qubit error rate required to run the algorithm within the error budget\",\"explanation\":\"The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 38 logical qubits and the total cycle count 713.\",\"label\":\"Required logical qubit error rate\",\"path\":\"physicalCountsFormatted/requiredLogicalQubitErrorRate\"},{\"description\":\"The minimum T state error rate required for distilled T states\",\"explanation\":\"The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 744.\",\"label\":\"Required logical T state error rate\",\"path\":\"physicalCountsFormatted/requiredLogicalTstateErrorRate\"},{\"description\":\"Number of T states to implement a rotation with an arbitrary angle\",\"explanation\":\"The number of T states to implement a rotation with an arbitrary angle is $\\\\lceil 0.53 \\\\log_2(0 / 0) + 5.3\\\\rceil$ [[arXiv:2203.10064](https://arxiv.org/abs/2203.10064)]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.\",\"label\":\"Number of T states per rotation\",\"path\":\"physicalCountsFormatted/numTsPerRotation\"}],\"title\":\"Resource estimates breakdown\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Name of QEC scheme\",\"explanation\":\"You can load pre-defined QEC schemes by using the name `surface_code` or `floquet_code`. The latter only works with Majorana qubits.\",\"label\":\"QEC scheme\",\"path\":\"jobParams/qecScheme/name\"},{\"description\":\"Required code distance for error correction\",\"explanation\":\"The code distance is the smallest odd integer greater or equal to $\\\\dfrac{2\\\\log(0.03 / 0.00000001845427031815162)}{\\\\log(0.01/0.001)} - 1$\",\"label\":\"Code distance\",\"path\":\"logicalQubit/codeDistance\"},{\"description\":\"Number of physical qubits per logical qubit\",\"explanation\":\"The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.\",\"label\":\"Physical qubits\",\"path\":\"logicalQubit/physicalQubits\"},{\"description\":\"Duration of a logical cycle in nanoseconds\",\"explanation\":\"The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.\",\"label\":\"Logical cycle time\",\"path\":\"physicalCountsFormatted/logicalCycleTime\"},{\"description\":\"Logical qubit error rate\",\"explanation\":\"The logical qubit error rate is computed as $0.03 \\\\cdot \\\\left(\\\\dfrac{0.001}{0.01}\\\\right)^\\\\frac{13 + 1}{2}$\",\"label\":\"Logical qubit error rate\",\"path\":\"physicalCountsFormatted/logicalErrorRate\"},{\"description\":\"Crossing prefactor used in QEC scheme\",\"explanation\":\"The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.\",\"label\":\"Crossing prefactor\",\"path\":\"jobParams/qecScheme/crossingPrefactor\"},{\"description\":\"Error correction threshold used in QEC scheme\",\"explanation\":\"The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.\",\"label\":\"Error correction threshold\",\"path\":\"jobParams/qecScheme/errorCorrectionThreshold\"},{\"description\":\"QEC scheme formula used to compute logical cycle time\",\"explanation\":\"This is the formula that is used to compute the logical cycle time 5us 200ns.\",\"label\":\"Logical cycle time formula\",\"path\":\"jobParams/qecScheme/logicalCycleTime\"},{\"description\":\"QEC scheme formula used to compute number of physical qubits per logical qubit\",\"explanation\":\"This is the formula that is used to compute the number of physical qubits per logical qubits 338.\",\"label\":\"Physical qubits formula\",\"path\":\"jobParams/qecScheme/physicalQubitsPerLogicalQubit\"}],\"title\":\"Logical qubit parameters\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of physical qubits for a single T factory\",\"explanation\":\"This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.\",\"label\":\"Physical qubits\",\"path\":\"tfactory/physicalQubits\"},{\"description\":\"Runtime of a single T factory\",\"explanation\":\"The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.\",\"label\":\"Runtime\",\"path\":\"physicalCountsFormatted/tfactoryRuntime\"},{\"description\":\"Number of output T states produced in a single run of T factory\",\"explanation\":\"The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.48e-7.\",\"label\":\"Number of output T states per run\",\"path\":\"tfactory/numTstates\"},{\"description\":\"Number of physical input T states consumed in a single run of a T factory\",\"explanation\":\"This value includes the physical input T states of all copies of the distillation unit in the first round.\",\"label\":\"Number of input T states per run\",\"path\":\"tfactory/numInputTstates\"},{\"description\":\"The number of distillation rounds\",\"explanation\":\"This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.\",\"label\":\"Distillation rounds\",\"path\":\"tfactory/numRounds\"},{\"description\":\"The number of units in each round of distillation\",\"explanation\":\"This is the number of copies for the distillation units per round.\",\"label\":\"Distillation units per round\",\"path\":\"physicalCountsFormatted/numUnitsPerRound\"},{\"description\":\"The types of distillation units\",\"explanation\":\"These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.\",\"label\":\"Distillation units\",\"path\":\"physicalCountsFormatted/unitNamePerRound\"},{\"description\":\"The code distance in each round of distillation\",\"explanation\":\"This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.\",\"label\":\"Distillation code distances\",\"path\":\"physicalCountsFormatted/codeDistancePerRound\"},{\"description\":\"The number of physical qubits used in each round of distillation\",\"explanation\":\"The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.\",\"label\":\"Number of physical qubits per round\",\"path\":\"physicalCountsFormatted/physicalQubitsPerRound\"},{\"description\":\"The runtime of each distillation round\",\"explanation\":\"The runtime of the T factory is the sum of the runtimes in all rounds.\",\"label\":\"Runtime per round\",\"path\":\"physicalCountsFormatted/tfactoryRuntimePerRound\"},{\"description\":\"Logical T state error rate\",\"explanation\":\"This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 6.72e-7.\",\"label\":\"Logical T state error rate\",\"path\":\"physicalCountsFormatted/tstateLogicalErrorRate\"}],\"title\":\"T factory parameters\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Number of logical qubits in the input quantum program\",\"explanation\":\"We determine 38 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.\",\"label\":\"Logical qubits (pre-layout)\",\"path\":\"logicalCounts/numQubits\"},{\"description\":\"Number of T gates in the input quantum program\",\"explanation\":\"This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.\",\"label\":\"T gates\",\"path\":\"logicalCounts/tCount\"},{\"description\":\"Number of rotation gates in the input quantum program\",\"explanation\":\"This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.\",\"label\":\"Rotation gates\",\"path\":\"logicalCounts/rotationCount\"},{\"description\":\"Depth of rotation gates in the input quantum program\",\"explanation\":\"This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.\",\"label\":\"Rotation depth\",\"path\":\"logicalCounts/rotationDepth\"},{\"description\":\"Number of CCZ-gates in the input quantum program\",\"explanation\":\"This is the number of CCZ gates.\",\"label\":\"CCZ gates\",\"path\":\"logicalCounts/cczCount\"},{\"description\":\"Number of CCiX-gates in the input quantum program\",\"explanation\":\"This is the number of CCiX gates, which applies $-iX$ controlled on two control qubits [[1212.5069](https://arxiv.org/abs/1212.5069)].\",\"label\":\"CCiX gates\",\"path\":\"logicalCounts/ccixCount\"},{\"description\":\"Number of single qubit measurements in the input quantum program\",\"explanation\":\"This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.\",\"label\":\"Measurement operations\",\"path\":\"logicalCounts/measurementCount\"}],\"title\":\"Pre-layout logical resources\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Total error budget for the algorithm\",\"explanation\":\"The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget $\\\\epsilon = \\\\epsilon_{\\\\log} + \\\\epsilon_{\\\\rm dis} + \\\\epsilon_{\\\\rm syn}$ is uniformly distributed and applies to errors $\\\\epsilon_{\\\\log}$ to implement logical qubits, an error budget $\\\\epsilon_{\\\\rm dis}$ to produce T states through distillation, and an error budget $\\\\epsilon_{\\\\rm syn}$ to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets $\\\\epsilon_{\\\\rm dis}$ and $\\\\epsilon_{\\\\rm syn}$ are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.\",\"label\":\"Total error budget\",\"path\":\"physicalCountsFormatted/errorBudget\"},{\"description\":\"Probability of at least one logical error\",\"explanation\":\"This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.\",\"label\":\"Logical error probability\",\"path\":\"physicalCountsFormatted/errorBudgetLogical\"},{\"description\":\"Probability of at least one faulty T distillation\",\"explanation\":\"This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.\",\"label\":\"T distillation error probability\",\"path\":\"physicalCountsFormatted/errorBudgetTstates\"},{\"description\":\"Probability of at least one failed rotation synthesis\",\"explanation\":\"This is one third of the total error budget 1.00e-3.\",\"label\":\"Rotation synthesis error probability\",\"path\":\"physicalCountsFormatted/errorBudgetRotations\"}],\"title\":\"Assumed error budget\"},{\"alwaysVisible\":false,\"entries\":[{\"description\":\"Some descriptive name for the qubit model\",\"explanation\":\"You can load pre-defined qubit parameters by using the names `qubit_gate_ns_e3`, `qubit_gate_ns_e4`, `qubit_gate_us_e3`, `qubit_gate_us_e4`, `qubit_maj_ns_e4`, or `qubit_maj_ns_e6`. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or ¬µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).\",\"label\":\"Qubit name\",\"path\":\"jobParams/qubitParams/name\"},{\"description\":\"Underlying qubit technology (gate-based or Majorana)\",\"explanation\":\"When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either *gate-based* or *Majorana*. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.\",\"label\":\"Instruction set\",\"path\":\"jobParams/qubitParams/instructionSet\"},{\"description\":\"Operation time for single-qubit measurement (t_meas) in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.\",\"label\":\"Single-qubit measurement time\",\"path\":\"jobParams/qubitParams/oneQubitMeasurementTime\"},{\"description\":\"Operation time for single-qubit gate (t_gate) in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.\",\"label\":\"Single-qubit gate time\",\"path\":\"jobParams/qubitParams/oneQubitGateTime\"},{\"description\":\"Operation time for two-qubit gate in ns\",\"explanation\":\"This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.\",\"label\":\"Two-qubit gate time\",\"path\":\"jobParams/qubitParams/twoQubitGateTime\"},{\"description\":\"Operation time for a T gate\",\"explanation\":\"This is the operation time in nanoseconds to execute a T gate.\",\"label\":\"T gate time\",\"path\":\"jobParams/qubitParams/tGateTime\"},{\"description\":\"Error rate for single-qubit measurement\",\"explanation\":\"This is the probability in which a single-qubit measurement in the Pauli basis may fail.\",\"label\":\"Single-qubit measurement error rate\",\"path\":\"jobParams/qubitParams/oneQubitMeasurementErrorRate\"},{\"description\":\"Error rate for single-qubit Clifford gate (p)\",\"explanation\":\"This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.\",\"label\":\"Single-qubit error rate\",\"path\":\"jobParams/qubitParams/oneQubitGateErrorRate\"},{\"description\":\"Error rate for two-qubit Clifford gate\",\"explanation\":\"This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.\",\"label\":\"Two-qubit error rate\",\"path\":\"jobParams/qubitParams/twoQubitGateErrorRate\"},{\"description\":\"Error rate to prepare single-qubit T state or apply a T gate (p_T)\",\"explanation\":\"This is the probability in which executing a single T gate may fail.\",\"label\":\"T gate error rate\",\"path\":\"jobParams/qubitParams/tGateErrorRate\"}],\"title\":\"Physical qubit parameters\"}]},\"status\":\"success\",\"tfactory\":{\"codeDistancePerRound\":[11],\"logicalErrorRate\":2.480000000000001E-07,\"numInputTstates\":30,\"numRounds\":1,\"numTstates\":1,\"numUnitsPerRound\":[2],\"physicalQubits\":9680,\"physicalQubitsPerRound\":[9680],\"runtime\":57200.0,\"runtimePerRound\":[57200.0],\"unitNamePerRound\":[\"15-to-1 space efficient logical\"]}}", - "text/html": [ - "\r\n", - "
\r\n", - " \r\n", - " Physical resource estimates\r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "
Physical qubits129004\r\n", - "

Number of physical qubits

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This value represents the total number of physical qubits, which is the sum of 12844 physical qubits to implement the algorithm logic, and 116160 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.

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Runtime3ms 707us 600ns\r\n", - "

Total runtime

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This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (5us 200ns) multiplied by the 713 logical cycles to run the algorithm. If however the duration of a single T factory (here: 57us 200ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.

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Logical algorithmic qubits38\r\n", - "

Number of logical qubits for the algorithm after layout

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Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the \\(Q_{\\rm alg} = 13\\) logical qubits in the input algorithm, we require in total $2 \\cdot Q_{\\rm alg} + \\lceil \\sqrt{8 \\cdot Q_{\\rm alg}}\\rceil + 1 = 38$ logical qubits.

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Algorithmic depth713\r\n", - "

Number of logical cycles for the algorithm

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To execute the algorithm using Parallel Synthesis Sequential Pauli Computation (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 155 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 31 CCZ and 155 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.

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Logical depth713\r\n", - "

Number of logical cycles performed

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This number is usually equal to the logical depth of the algorithm, which is 713. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.

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Number of T states744\r\n", - "

Number of T states consumed by the algorithm

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To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 31 CCZ and 155 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.

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Number of T factories12\r\n", - "

Number of T factories capable of producing the demanded 744 T states during the algorithm's runtime

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The total number of T factories 12 that are executed in parallel is computed as \\(\\left\\lceil\\dfrac{744\\;\\text{T states} \\cdot 57us 200ns\\;\\text{T factory duration}}{1\\;\\text{T states per T factory} \\cdot 3ms 707us 600ns\\;\\text{algorithm runtime}}\\right\\rceil\\)

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Number of T factory invocations62\r\n", - "

Number of times all T factories are invoked

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In order to prepare the 744 T states, the 12 copies of the T factory are repeatedly invoked 62 times.

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Physical algorithmic qubits12844\r\n", - "

Number of physical qubits for the algorithm after layout

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The 12844 are the product of the 38 logical qubits after layout and the 338 physical qubits that encode a single logical qubit.

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Physical T factory qubits116160\r\n", - "

Number of physical qubits for the T factories

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Each T factory requires 9680 physical qubits and we run 12 in parallel, therefore we need $116160 = 9680 \\cdot 12$ qubits.

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Required logical qubit error rate1.85e-8\r\n", - "

The minimum logical qubit error rate required to run the algorithm within the error budget

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The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 38 logical qubits and the total cycle count 713.

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Required logical T state error rate6.72e-7\r\n", - "

The minimum T state error rate required for distilled T states

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The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 744.

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Number of T states per rotationNo rotations in algorithm\r\n", - "

Number of T states to implement a rotation with an arbitrary angle

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The number of T states to implement a rotation with an arbitrary angle is \\(\\lceil 0.53 \\log_2(0 / 0) + 5.3\\rceil\\) [arXiv:2203.10064]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.

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QEC schemesurface_code\r\n", - "

Name of QEC scheme

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You can load pre-defined QEC schemes by using the name surface_code or floquet_code. The latter only works with Majorana qubits.

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Code distance13\r\n", - "

Required code distance for error correction

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The code distance is the smallest odd integer greater or equal to \\(\\dfrac{2\\log(0.03 / 0.00000001845427031815162)}{\\log(0.01/0.001)} - 1\\)

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Physical qubits338\r\n", - "

Number of physical qubits per logical qubit

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The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.

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Logical cycle time5us 200ns\r\n", - "

Duration of a logical cycle in nanoseconds

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The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.

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Logical qubit error rate3.00e-9\r\n", - "

Logical qubit error rate

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The logical qubit error rate is computed as $0.03 \\cdot \\left(\\dfrac{0.001}{0.01}\\right)^\\frac{13 + 1}{2}$

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Crossing prefactor0.03\r\n", - "

Crossing prefactor used in QEC scheme

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The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.

\n", - "\r\n", - "
Error correction threshold0.01\r\n", - "

Error correction threshold used in QEC scheme

\n", - "\r\n", - "
\r\n", - "

The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.

\n", - "\r\n", - "
Logical cycle time formula(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance\r\n", - "

QEC scheme formula used to compute logical cycle time

\n", - "\r\n", - "
\r\n", - "

This is the formula that is used to compute the logical cycle time 5us 200ns.

\n", - "\r\n", - "
Physical qubits formula2 * codeDistance * codeDistance\r\n", - "

QEC scheme formula used to compute number of physical qubits per logical qubit

\n", - "\r\n", - "
\r\n", - "

This is the formula that is used to compute the number of physical qubits per logical qubits 338.

\n", - "\r\n", - "
\r\n", - "\r\n", - "
\r\n", - " \r\n", - " T factory parameters\r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "
Physical qubits9680\r\n", - "

Number of physical qubits for a single T factory

\n", - "\r\n", - "
\r\n", - "

This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.

\n", - "\r\n", - "
Runtime57us 200ns\r\n", - "

Runtime of a single T factory

\n", - "\r\n", - "
\r\n", - "

The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.

\n", - "\r\n", - "
Number of output T states per run1\r\n", - "

Number of output T states produced in a single run of T factory

\n", - "\r\n", - "
\r\n", - "

The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.48e-7.

\n", - "\r\n", - "
Number of input T states per run30\r\n", - "

Number of physical input T states consumed in a single run of a T factory

\n", - "\r\n", - "
\r\n", - "

This value includes the physical input T states of all copies of the distillation unit in the first round.

\n", - "\r\n", - "
Distillation rounds1\r\n", - "

The number of distillation rounds

\n", - "\r\n", - "
\r\n", - "

This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.

\n", - "\r\n", - "
Distillation units per round2\r\n", - "

The number of units in each round of distillation

\n", - "\r\n", - "
\r\n", - "

This is the number of copies for the distillation units per round.

\n", - "\r\n", - "
Distillation units15-to-1 space efficient logical\r\n", - "

The types of distillation units

\n", - "\r\n", - "
\r\n", - "

These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.

\n", - "\r\n", - "
Distillation code distances11\r\n", - "

The code distance in each round of distillation

\n", - "\r\n", - "
\r\n", - "

This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.

\n", - "\r\n", - "
Number of physical qubits per round9680\r\n", - "

The number of physical qubits used in each round of distillation

\n", - "\r\n", - "
\r\n", - "

The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.

\n", - "\r\n", - "
Runtime per round57us 200ns\r\n", - "

The runtime of each distillation round

\n", - "\r\n", - "
\r\n", - "

The runtime of the T factory is the sum of the runtimes in all rounds.

\n", - "\r\n", - "
Logical T state error rate2.48e-7\r\n", - "

Logical T state error rate

\n", - "\r\n", - "
\r\n", - "

This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 6.72e-7.

\n", - "\r\n", - "
\r\n", - "\r\n", - "
\r\n", - " \r\n", - " Pre-layout logical resources\r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "
Logical qubits (pre-layout)13\r\n", - "

Number of logical qubits in the input quantum program

\n", - "\r\n", - "
\r\n", - "

We determine 38 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.

\n", - "\r\n", - "
T gates0\r\n", - "

Number of T gates in the input quantum program

\n", - "\r\n", - "
\r\n", - "

This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.

\n", - "\r\n", - "
Rotation gates0\r\n", - "

Number of rotation gates in the input quantum program

\n", - "\r\n", - "
\r\n", - "

This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.

\n", - "\r\n", - "
Rotation depth0\r\n", - "

Depth of rotation gates in the input quantum program

\n", - "\r\n", - "
\r\n", - "

This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.

\n", - "\r\n", - "
CCZ gates31\r\n", - "

Number of CCZ-gates in the input quantum program

\n", - "\r\n", - "
\r\n", - "

This is the number of CCZ gates.

\n", - "\r\n", - "
CCiX gates155\r\n", - "

Number of CCiX-gates in the input quantum program

\n", - "\r\n", - "
\r\n", - "

This is the number of CCiX gates, which applies \\(-iX\\) controlled on two control qubits [1212.5069].

\n", - "\r\n", - "
Measurement operations155\r\n", - "

Number of single qubit measurements in the input quantum program

\n", - "\r\n", - "
\r\n", - "

This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.

\n", - "\r\n", - "
\r\n", - "\r\n", - "
\r\n", - " \r\n", - " Assumed error budget\r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "
Total error budget1.00e-3\r\n", - "

Total error budget for the algorithm

\n", - "\r\n", - "
\r\n", - "

The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget \\(\\epsilon = \\epsilon_{\\log} + \\epsilon_{\\rm dis} + \\epsilon_{\\rm syn}\\) is uniformly distributed and applies to errors \\(\\epsilon_{\\log}\\) to implement logical qubits, an error budget \\(\\epsilon_{\\rm dis}\\) to produce T states through distillation, and an error budget \\(\\epsilon_{\\rm syn}\\) to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets \\(\\epsilon_{\\rm dis}\\) and \\(\\epsilon_{\\rm syn}\\) are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.

\n", - "\r\n", - "
Logical error probability5.00e-4\r\n", - "

Probability of at least one logical error

\n", - "\r\n", - "
\r\n", - "

This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.

\n", - "\r\n", - "
T distillation error probability5.00e-4\r\n", - "

Probability of at least one faulty T distillation

\n", - "\r\n", - "
\r\n", - "

This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.

\n", - "\r\n", - "
Rotation synthesis error probability0.00e0\r\n", - "

Probability of at least one failed rotation synthesis

\n", - "\r\n", - "
\r\n", - "

This is one third of the total error budget 1.00e-3.

\n", - "\r\n", - "
\r\n", - "\r\n", - "
\r\n", - " \r\n", - " Physical qubit parameters\r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "\r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - " \r\n", - "
Qubit namequbit_gate_ns_e3\r\n", - "

Some descriptive name for the qubit model

\n", - "\r\n", - "
\r\n", - "

You can load pre-defined qubit parameters by using the names qubit_gate_ns_e3, qubit_gate_ns_e4, qubit_gate_us_e3, qubit_gate_us_e4, qubit_maj_ns_e4, or qubit_maj_ns_e6. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).

\n", - "\r\n", - "
Instruction setGateBased\r\n", - "

Underlying qubit technology (gate-based or Majorana)

\n", - "\r\n", - "
\r\n", - "

When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either gate-based or Majorana. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.

\n", - "\r\n", - "
Single-qubit measurement time100 ns\r\n", - "

Operation time for single-qubit measurement (t_meas) in ns

\n", - "\r\n", - "
\r\n", - "

This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.

\n", - "\r\n", - "
Single-qubit gate time50 ns\r\n", - "

Operation time for single-qubit gate (t_gate) in ns

\n", - "\r\n", - "
\r\n", - "

This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.

\n", - "\r\n", - "
Two-qubit gate time50 ns\r\n", - "

Operation time for two-qubit gate in ns

\n", - "\r\n", - "
\r\n", - "

This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.

\n", - "\r\n", - "
T gate time50 ns\r\n", - "

Operation time for a T gate

\n", - "\r\n", - "
\r\n", - "

This is the operation time in nanoseconds to execute a T gate.

\n", - "\r\n", - "
Single-qubit measurement error rate0.001\r\n", - "

Error rate for single-qubit measurement

\n", - "\r\n", - "
\r\n", - "

This is the probability in which a single-qubit measurement in the Pauli basis may fail.

\n", - "\r\n", - "
Single-qubit error rate0.001\r\n", - "

Error rate for single-qubit Clifford gate (p)

\n", - "\r\n", - "
\r\n", - "

This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.

\n", - "\r\n", - "
Two-qubit error rate0.001\r\n", - "

Error rate for two-qubit Clifford gate

\n", - "\r\n", - "
\r\n", - "

This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.

\n", - "\r\n", - "
T gate error rate0.001\r\n", - "

Error rate to prepare single-qubit T state or apply a T gate (p_T)

\n", - "\r\n", - "
\r\n", - "

This is the probability in which executing a single T gate may fail.

\n", - "\r\n", - "
\r\n", - "
\r\n", - " Assumptions\r\n", - "
    \r\n", - "

  • More details on the following lists of assumptions can be found in the paper Accessing requirements for scaling quantum computers and their applications.

    \n", - "
    • \r\n", - "

  • Uniform independent physical noise. We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.

    \n", - "
    • \r\n", - "

  • Efficient classical computation. We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.

    \n", - "
    • \r\n", - "

  • Extraction circuits for planar quantum ISA. We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).

    \n", - "
    • \r\n", - "

  • Uniform independent logical noise. We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.

    \n", - "
    • \r\n", - "

  • Negligible Clifford costs for synthesis. We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.

    \n", - "
    • \r\n", - "

  • Smooth magic state consumption rate. We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.

    \n", - "
    • \r\n", - "
\r\n" - ], - "text/plain": [ - "{'errorBudget': {'logical': 0.0005, 'rotations': 0.0, 'tstates': 0.0005},\n", - " 'jobParams': {'errorBudget': 0.001,\n", - " 'qecScheme': {'crossingPrefactor': 0.03,\n", - " 'errorCorrectionThreshold': 0.01,\n", - " 'logicalCycleTime': '(4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance',\n", - " 'name': 'surface_code',\n", - " 'physicalQubitsPerLogicalQubit': '2 * codeDistance * codeDistance'},\n", - " 'qubitParams': {'instructionSet': 'GateBased',\n", - " 'name': 'qubit_gate_ns_e3',\n", - " 'oneQubitGateErrorRate': 0.001,\n", - " 'oneQubitGateTime': '50 ns',\n", - " 'oneQubitMeasurementErrorRate': 0.001,\n", - " 'oneQubitMeasurementTime': '100 ns',\n", - " 'tGateErrorRate': 0.001,\n", - " 'tGateTime': '50 ns',\n", - " 'twoQubitGateErrorRate': 0.001,\n", - " 'twoQubitGateTime': '50 ns'}},\n", - " 'logicalCounts': {'ccixCount': 155,\n", - " 'cczCount': 31,\n", - " 'measurementCount': 155,\n", - " 'numQubits': 13,\n", - " 'rotationCount': 0,\n", - " 'rotationDepth': 0,\n", - " 'tCount': 0},\n", - " 'logicalQubit': {'codeDistance': 13,\n", - " 'logicalCycleTime': 5200.0,\n", - " 'logicalErrorRate': 3.000000000000002e-09,\n", - " 'physicalQubits': 338},\n", - " 'physicalCounts': {'breakdown': {'algorithmicLogicalDepth': 713,\n", - " 'algorithmicLogicalQubits': 38,\n", - " 'cliffordErrorRate': 0.001,\n", - " 'logicalDepth': 713,\n", - " 'numTfactories': 12,\n", - " 'numTfactoryRuns': 62,\n", - " 'numTsPerRotation': None,\n", - " 'numTstates': 744,\n", - " 'physicalQubitsForAlgorithm': 12844,\n", - " 'physicalQubitsForTfactories': 116160,\n", - " 'requiredLogicalQubitErrorRate': 1.845427031815162e-08,\n", - " 'requiredLogicalTstateErrorRate': 6.720430107526882e-07},\n", - " 'physicalQubits': 129004,\n", - " 'runtime': 3707600},\n", - " 'physicalCountsFormatted': {'codeDistancePerRound': '11',\n", - " 'errorBudget': '1.00e-3',\n", - " 'errorBudgetLogical': '5.00e-4',\n", - " 'errorBudgetRotations': '0.00e0',\n", - " 'errorBudgetTstates': '5.00e-4',\n", - " 'logicalCycleTime': '5us 200ns',\n", - " 'logicalErrorRate': '3.00e-9',\n", - " 'numTsPerRotation': 'No rotations in algorithm',\n", - " 'numUnitsPerRound': '2',\n", - " 'physicalQubitsForTfactoriesPercentage': '90.04 %',\n", - " 'physicalQubitsPerRound': '9680',\n", - " 'requiredLogicalQubitErrorRate': '1.85e-8',\n", - " 'requiredLogicalTstateErrorRate': '6.72e-7',\n", - " 'runtime': '3ms 707us 600ns',\n", - " 'tfactoryRuntime': '57us 200ns',\n", - " 'tfactoryRuntimePerRound': '57us 200ns',\n", - " 'tstateLogicalErrorRate': '2.48e-7',\n", - " 'unitNamePerRound': '15-to-1 space efficient logical'},\n", - " 'reportData': {'assumptions': ['_More details on the following lists of assumptions can be found in the paper [Accessing requirements for scaling quantum computers and their applications](https://aka.ms/AQ/RE/Paper)._',\n", - " '**Uniform independent physical noise.** We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.',\n", - " '**Efficient classical computation.** We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.',\n", - " '**Extraction circuits for planar quantum ISA.** We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).',\n", - " '**Uniform independent logical noise.** We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.',\n", - " '**Negligible Clifford costs for synthesis.** We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.',\n", - " '**Smooth magic state consumption rate.** We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.'],\n", - " 'groups': [{'alwaysVisible': True,\n", - " 'entries': [{'description': 'Number of physical qubits',\n", - " 'explanation': 'This value represents the total number of physical qubits, which is the sum of 12844 physical qubits to implement the algorithm logic, and 116160 physical qubits to execute the T factories that are responsible to produce the T states that are consumed by the algorithm.',\n", - " 'label': 'Physical qubits',\n", - " 'path': 'physicalCounts/physicalQubits'},\n", - " {'description': 'Total runtime',\n", - " 'explanation': 'This is a runtime estimate (in nanosecond precision) for the execution time of the algorithm. In general, the execution time corresponds to the duration of one logical cycle (5us 200ns) multiplied by the 713 logical cycles to run the algorithm. If however the duration of a single T factory (here: 57us 200ns) is larger than the algorithm runtime, we extend the number of logical cycles artificially in order to exceed the runtime of a single T factory.',\n", - " 'label': 'Runtime',\n", - " 'path': 'physicalCountsFormatted/runtime'}],\n", - " 'title': 'Physical resource estimates'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Number of logical qubits for the algorithm after layout',\n", - " 'explanation': 'Laying out the logical qubits in the presence of nearest-neighbor constraints requires additional logical qubits. In particular, to layout the $Q_{\\\\rm alg} = 13$ logical qubits in the input algorithm, we require in total $2 \\\\cdot Q_{\\\\rm alg} + \\\\lceil \\\\sqrt{8 \\\\cdot Q_{\\\\rm alg}}\\\\rceil + 1 = 38$ logical qubits.',\n", - " 'label': 'Logical algorithmic qubits',\n", - " 'path': 'physicalCounts/breakdown/algorithmicLogicalQubits'},\n", - " {'description': 'Number of logical cycles for the algorithm',\n", - " 'explanation': 'To execute the algorithm using _Parallel Synthesis Sequential Pauli Computation_ (PSSPC), operations are scheduled in terms of multi-qubit Pauli measurements, for which assume an execution time of one logical cycle. Based on the input algorithm, we require one multi-qubit measurement for the 155 single-qubit measurements, the 0 arbitrary single-qubit rotations, and the 0 T gates, three multi-qubit measurements for each of the 31 CCZ and 155 CCiX gates in the input program, as well as No rotations in algorithm multi-qubit measurements for each of the 0 non-Clifford layers in which there is at least one single-qubit rotation with an arbitrary angle rotation.',\n", - " 'label': 'Algorithmic depth',\n", - " 'path': 'physicalCounts/breakdown/algorithmicLogicalDepth'},\n", - " {'description': 'Number of logical cycles performed',\n", - " 'explanation': \"This number is usually equal to the logical depth of the algorithm, which is 713. However, in the case in which a single T factory is slower than the execution time of the algorithm, we adjust the logical cycle depth to exceed the T factory's execution time.\",\n", - " 'label': 'Logical depth',\n", - " 'path': 'physicalCounts/breakdown/logicalDepth'},\n", - " {'description': 'Number of T states consumed by the algorithm',\n", - " 'explanation': 'To execute the algorithm, we require one T state for each of the 0 T gates, four T states for each of the 31 CCZ and 155 CCiX gates, as well as No rotations in algorithm for each of the 0 single-qubit rotation gates with arbitrary angle rotation.',\n", - " 'label': 'Number of T states',\n", - " 'path': 'physicalCounts/breakdown/numTstates'},\n", - " {'description': \"Number of T factories capable of producing the demanded 744 T states during the algorithm's runtime\",\n", - " 'explanation': 'The total number of T factories 12 that are executed in parallel is computed as $\\\\left\\\\lceil\\\\dfrac{744\\\\;\\\\text{T states} \\\\cdot 57us 200ns\\\\;\\\\text{T factory duration}}{1\\\\;\\\\text{T states per T factory} \\\\cdot 3ms 707us 600ns\\\\;\\\\text{algorithm runtime}}\\\\right\\\\rceil$',\n", - " 'label': 'Number of T factories',\n", - " 'path': 'physicalCounts/breakdown/numTfactories'},\n", - " {'description': 'Number of times all T factories are invoked',\n", - " 'explanation': 'In order to prepare the 744 T states, the 12 copies of the T factory are repeatedly invoked 62 times.',\n", - " 'label': 'Number of T factory invocations',\n", - " 'path': 'physicalCounts/breakdown/numTfactoryRuns'},\n", - " {'description': 'Number of physical qubits for the algorithm after layout',\n", - " 'explanation': 'The 12844 are the product of the 38 logical qubits after layout and the 338 physical qubits that encode a single logical qubit.',\n", - " 'label': 'Physical algorithmic qubits',\n", - " 'path': 'physicalCounts/breakdown/physicalQubitsForAlgorithm'},\n", - " {'description': 'Number of physical qubits for the T factories',\n", - " 'explanation': 'Each T factory requires 9680 physical qubits and we run 12 in parallel, therefore we need $116160 = 9680 \\\\cdot 12$ qubits.',\n", - " 'label': 'Physical T factory qubits',\n", - " 'path': 'physicalCounts/breakdown/physicalQubitsForTfactories'},\n", - " {'description': 'The minimum logical qubit error rate required to run the algorithm within the error budget',\n", - " 'explanation': 'The minimum logical qubit error rate is obtained by dividing the logical error probability 5.00e-4 by the product of 38 logical qubits and the total cycle count 713.',\n", - " 'label': 'Required logical qubit error rate',\n", - " 'path': 'physicalCountsFormatted/requiredLogicalQubitErrorRate'},\n", - " {'description': 'The minimum T state error rate required for distilled T states',\n", - " 'explanation': 'The minimum T state error rate is obtained by dividing the T distillation error probability 5.00e-4 by the total number of T states 744.',\n", - " 'label': 'Required logical T state error rate',\n", - " 'path': 'physicalCountsFormatted/requiredLogicalTstateErrorRate'},\n", - " {'description': 'Number of T states to implement a rotation with an arbitrary angle',\n", - " 'explanation': 'The number of T states to implement a rotation with an arbitrary angle is $\\\\lceil 0.53 \\\\log_2(0 / 0) + 5.3\\\\rceil$ [[arXiv:2203.10064](https://arxiv.org/abs/2203.10064)]. For simplicity, we use this formula for all single-qubit arbitrary angle rotations, and do not distinguish between best, worst, and average cases.',\n", - " 'label': 'Number of T states per rotation',\n", - " 'path': 'physicalCountsFormatted/numTsPerRotation'}],\n", - " 'title': 'Resource estimates breakdown'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Name of QEC scheme',\n", - " 'explanation': 'You can load pre-defined QEC schemes by using the name `surface_code` or `floquet_code`. The latter only works with Majorana qubits.',\n", - " 'label': 'QEC scheme',\n", - " 'path': 'jobParams/qecScheme/name'},\n", - " {'description': 'Required code distance for error correction',\n", - " 'explanation': 'The code distance is the smallest odd integer greater or equal to $\\\\dfrac{2\\\\log(0.03 / 0.00000001845427031815162)}{\\\\log(0.01/0.001)} - 1$',\n", - " 'label': 'Code distance',\n", - " 'path': 'logicalQubit/codeDistance'},\n", - " {'description': 'Number of physical qubits per logical qubit',\n", - " 'explanation': 'The number of physical qubits per logical qubit are evaluated using the formula 2 * codeDistance * codeDistance that can be user-specified.',\n", - " 'label': 'Physical qubits',\n", - " 'path': 'logicalQubit/physicalQubits'},\n", - " {'description': 'Duration of a logical cycle in nanoseconds',\n", - " 'explanation': 'The runtime of one logical cycle in nanoseconds is evaluated using the formula (4 * twoQubitGateTime + 2 * oneQubitMeasurementTime) * codeDistance that can be user-specified.',\n", - " 'label': 'Logical cycle time',\n", - " 'path': 'physicalCountsFormatted/logicalCycleTime'},\n", - " {'description': 'Logical qubit error rate',\n", - " 'explanation': 'The logical qubit error rate is computed as $0.03 \\\\cdot \\\\left(\\\\dfrac{0.001}{0.01}\\\\right)^\\\\frac{13 + 1}{2}$',\n", - " 'label': 'Logical qubit error rate',\n", - " 'path': 'physicalCountsFormatted/logicalErrorRate'},\n", - " {'description': 'Crossing prefactor used in QEC scheme',\n", - " 'explanation': 'The crossing prefactor is usually extracted numerically from simulations when fitting an exponential curve to model the relationship between logical and physical error rate.',\n", - " 'label': 'Crossing prefactor',\n", - " 'path': 'jobParams/qecScheme/crossingPrefactor'},\n", - " {'description': 'Error correction threshold used in QEC scheme',\n", - " 'explanation': 'The error correction threshold is the physical error rate below which the error rate of the logical qubit is less than the error rate of the physical qubit that constitute it. This value is usually extracted numerically from simulations of the logical error rate.',\n", - " 'label': 'Error correction threshold',\n", - " 'path': 'jobParams/qecScheme/errorCorrectionThreshold'},\n", - " {'description': 'QEC scheme formula used to compute logical cycle time',\n", - " 'explanation': 'This is the formula that is used to compute the logical cycle time 5us 200ns.',\n", - " 'label': 'Logical cycle time formula',\n", - " 'path': 'jobParams/qecScheme/logicalCycleTime'},\n", - " {'description': 'QEC scheme formula used to compute number of physical qubits per logical qubit',\n", - " 'explanation': 'This is the formula that is used to compute the number of physical qubits per logical qubits 338.',\n", - " 'label': 'Physical qubits formula',\n", - " 'path': 'jobParams/qecScheme/physicalQubitsPerLogicalQubit'}],\n", - " 'title': 'Logical qubit parameters'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Number of physical qubits for a single T factory',\n", - " 'explanation': 'This corresponds to the maximum number of physical qubits over all rounds of T distillation units in a T factory. A round of distillation contains of multiple copies of distillation units to achieve the required success probability of producing a T state with the expected logical T state error rate.',\n", - " 'label': 'Physical qubits',\n", - " 'path': 'tfactory/physicalQubits'},\n", - " {'description': 'Runtime of a single T factory',\n", - " 'explanation': 'The runtime of a single T factory is the accumulated runtime of executing each round in a T factory.',\n", - " 'label': 'Runtime',\n", - " 'path': 'physicalCountsFormatted/tfactoryRuntime'},\n", - " {'description': 'Number of output T states produced in a single run of T factory',\n", - " 'explanation': 'The T factory takes as input 30 noisy physical T states with an error rate of 0.001 and produces 1 T states with an error rate of 2.48e-7.',\n", - " 'label': 'Number of output T states per run',\n", - " 'path': 'tfactory/numTstates'},\n", - " {'description': 'Number of physical input T states consumed in a single run of a T factory',\n", - " 'explanation': 'This value includes the physical input T states of all copies of the distillation unit in the first round.',\n", - " 'label': 'Number of input T states per run',\n", - " 'path': 'tfactory/numInputTstates'},\n", - " {'description': 'The number of distillation rounds',\n", - " 'explanation': 'This is the number of distillation rounds. In each round one or multiple copies of some distillation unit is executed.',\n", - " 'label': 'Distillation rounds',\n", - " 'path': 'tfactory/numRounds'},\n", - " {'description': 'The number of units in each round of distillation',\n", - " 'explanation': 'This is the number of copies for the distillation units per round.',\n", - " 'label': 'Distillation units per round',\n", - " 'path': 'physicalCountsFormatted/numUnitsPerRound'},\n", - " {'description': 'The types of distillation units',\n", - " 'explanation': 'These are the types of distillation units that are executed in each round. The units can be either physical or logical, depending on what type of qubit they are operating. Space-efficient units require fewer qubits for the cost of longer runtime compared to Reed-Muller preparation units.',\n", - " 'label': 'Distillation units',\n", - " 'path': 'physicalCountsFormatted/unitNamePerRound'},\n", - " {'description': 'The code distance in each round of distillation',\n", - " 'explanation': 'This is the code distance used for the units in each round. If the code distance is 1, then the distillation unit operates on physical qubits instead of error-corrected logical qubits.',\n", - " 'label': 'Distillation code distances',\n", - " 'path': 'physicalCountsFormatted/codeDistancePerRound'},\n", - " {'description': 'The number of physical qubits used in each round of distillation',\n", - " 'explanation': 'The maximum number of physical qubits over all rounds is the number of physical qubits for the T factory, since qubits are reused by different rounds.',\n", - " 'label': 'Number of physical qubits per round',\n", - " 'path': 'physicalCountsFormatted/physicalQubitsPerRound'},\n", - " {'description': 'The runtime of each distillation round',\n", - " 'explanation': 'The runtime of the T factory is the sum of the runtimes in all rounds.',\n", - " 'label': 'Runtime per round',\n", - " 'path': 'physicalCountsFormatted/tfactoryRuntimePerRound'},\n", - " {'description': 'Logical T state error rate',\n", - " 'explanation': 'This is the logical T state error rate achieved by the T factory which is equal or smaller than the required error rate 6.72e-7.',\n", - " 'label': 'Logical T state error rate',\n", - " 'path': 'physicalCountsFormatted/tstateLogicalErrorRate'}],\n", - " 'title': 'T factory parameters'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Number of logical qubits in the input quantum program',\n", - " 'explanation': 'We determine 38 from this number by assuming to align them in a 2D grid. Auxiliary qubits are added to allow for sufficient space to execute multi-qubit Pauli measurements on all or a subset of the logical qubits.',\n", - " 'label': 'Logical qubits (pre-layout)',\n", - " 'path': 'logicalCounts/numQubits'},\n", - " {'description': 'Number of T gates in the input quantum program',\n", - " 'explanation': 'This includes all T gates and adjoint T gates, but not T gates used to implement rotation gates with arbitrary angle, CCZ gates, or CCiX gates.',\n", - " 'label': 'T gates',\n", - " 'path': 'logicalCounts/tCount'},\n", - " {'description': 'Number of rotation gates in the input quantum program',\n", - " 'explanation': 'This is the number of all rotation gates. If an angle corresponds to a Pauli, Clifford, or T gate, it is not accounted for in this number.',\n", - " 'label': 'Rotation gates',\n", - " 'path': 'logicalCounts/rotationCount'},\n", - " {'description': 'Depth of rotation gates in the input quantum program',\n", - " 'explanation': 'This is the number of all non-Clifford layers that include at least one single-qubit rotation gate with an arbitrary angle.',\n", - " 'label': 'Rotation depth',\n", - " 'path': 'logicalCounts/rotationDepth'},\n", - " {'description': 'Number of CCZ-gates in the input quantum program',\n", - " 'explanation': 'This is the number of CCZ gates.',\n", - " 'label': 'CCZ gates',\n", - " 'path': 'logicalCounts/cczCount'},\n", - " {'description': 'Number of CCiX-gates in the input quantum program',\n", - " 'explanation': 'This is the number of CCiX gates, which applies $-iX$ controlled on two control qubits [[1212.5069](https://arxiv.org/abs/1212.5069)].',\n", - " 'label': 'CCiX gates',\n", - " 'path': 'logicalCounts/ccixCount'},\n", - " {'description': 'Number of single qubit measurements in the input quantum program',\n", - " 'explanation': 'This is the number of single qubit measurements in Pauli basis that are used in the input program. Note that all measurements are counted, however, the measurement result is is determined randomly (with a fixed seed) to be 0 or 1 with a probability of 50%.',\n", - " 'label': 'Measurement operations',\n", - " 'path': 'logicalCounts/measurementCount'}],\n", - " 'title': 'Pre-layout logical resources'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Total error budget for the algorithm',\n", - " 'explanation': \"The total error budget sets the overall allowed error for the algorithm, i.e., the number of times it is allowed to fail. Its value must be between 0 and 1 and the default value is 0.001, which corresponds to 0.1%, and means that the algorithm is allowed to fail once in 1000 executions. This parameter is highly application specific. For example, if one is running Shor's algorithm for factoring integers, a large value for the error budget may be tolerated as one can check that the output are indeed the prime factors of the input. On the other hand, a much smaller error budget may be needed for an algorithm solving a problem with a solution which cannot be efficiently verified. This budget $\\\\epsilon = \\\\epsilon_{\\\\log} + \\\\epsilon_{\\\\rm dis} + \\\\epsilon_{\\\\rm syn}$ is uniformly distributed and applies to errors $\\\\epsilon_{\\\\log}$ to implement logical qubits, an error budget $\\\\epsilon_{\\\\rm dis}$ to produce T states through distillation, and an error budget $\\\\epsilon_{\\\\rm syn}$ to synthesize rotation gates with arbitrary angles. Note that for distillation and rotation synthesis, the respective error budgets $\\\\epsilon_{\\\\rm dis}$ and $\\\\epsilon_{\\\\rm syn}$ are uniformly distributed among all T states and all rotation gates, respectively. If there are no rotation gates in the input algorithm, the error budget is uniformly distributed to logical errors and T state errors.\",\n", - " 'label': 'Total error budget',\n", - " 'path': 'physicalCountsFormatted/errorBudget'},\n", - " {'description': 'Probability of at least one logical error',\n", - " 'explanation': 'This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.',\n", - " 'label': 'Logical error probability',\n", - " 'path': 'physicalCountsFormatted/errorBudgetLogical'},\n", - " {'description': 'Probability of at least one faulty T distillation',\n", - " 'explanation': 'This is one third of the total error budget 1.00e-3 if the input algorithm contains rotation with gates with arbitrary angles, or one half of it, otherwise.',\n", - " 'label': 'T distillation error probability',\n", - " 'path': 'physicalCountsFormatted/errorBudgetTstates'},\n", - " {'description': 'Probability of at least one failed rotation synthesis',\n", - " 'explanation': 'This is one third of the total error budget 1.00e-3.',\n", - " 'label': 'Rotation synthesis error probability',\n", - " 'path': 'physicalCountsFormatted/errorBudgetRotations'}],\n", - " 'title': 'Assumed error budget'},\n", - " {'alwaysVisible': False,\n", - " 'entries': [{'description': 'Some descriptive name for the qubit model',\n", - " 'explanation': 'You can load pre-defined qubit parameters by using the names `qubit_gate_ns_e3`, `qubit_gate_ns_e4`, `qubit_gate_us_e3`, `qubit_gate_us_e4`, `qubit_maj_ns_e4`, or `qubit_maj_ns_e6`. The names of these pre-defined qubit parameters indicate the instruction set (gate-based or Majorana), the operation speed (ns or µs regime), as well as the fidelity (e.g., e3 for $10^{-3}$ gate error rates).',\n", - " 'label': 'Qubit name',\n", - " 'path': 'jobParams/qubitParams/name'},\n", - " {'description': 'Underlying qubit technology (gate-based or Majorana)',\n", - " 'explanation': 'When modeling the physical qubit abstractions, we distinguish between two different physical instruction sets that are used to operate the qubits. The physical instruction set can be either *gate-based* or *Majorana*. A gate-based instruction set provides single-qubit measurement, single-qubit gates (incl. T gates), and two-qubit gates. A Majorana instruction set provides a physical T gate, single-qubit measurement and two-qubit joint measurement operations.',\n", - " 'label': 'Instruction set',\n", - " 'path': 'jobParams/qubitParams/instructionSet'},\n", - " {'description': 'Operation time for single-qubit measurement (t_meas) in ns',\n", - " 'explanation': 'This is the operation time in nanoseconds to perform a single-qubit measurement in the Pauli basis.',\n", - " 'label': 'Single-qubit measurement time',\n", - " 'path': 'jobParams/qubitParams/oneQubitMeasurementTime'},\n", - " {'description': 'Operation time for single-qubit gate (t_gate) in ns',\n", - " 'explanation': 'This is the operation time in nanoseconds to perform a single-qubit Clifford operation, e.g., Hadamard or Phase gates.',\n", - " 'label': 'Single-qubit gate time',\n", - " 'path': 'jobParams/qubitParams/oneQubitGateTime'},\n", - " {'description': 'Operation time for two-qubit gate in ns',\n", - " 'explanation': 'This is the operation time in nanoseconds to perform a two-qubit Clifford operation, e.g., a CNOT or CZ gate.',\n", - " 'label': 'Two-qubit gate time',\n", - " 'path': 'jobParams/qubitParams/twoQubitGateTime'},\n", - " {'description': 'Operation time for a T gate',\n", - " 'explanation': 'This is the operation time in nanoseconds to execute a T gate.',\n", - " 'label': 'T gate time',\n", - " 'path': 'jobParams/qubitParams/tGateTime'},\n", - " {'description': 'Error rate for single-qubit measurement',\n", - " 'explanation': 'This is the probability in which a single-qubit measurement in the Pauli basis may fail.',\n", - " 'label': 'Single-qubit measurement error rate',\n", - " 'path': 'jobParams/qubitParams/oneQubitMeasurementErrorRate'},\n", - " {'description': 'Error rate for single-qubit Clifford gate (p)',\n", - " 'explanation': 'This is the probability in which a single-qubit Clifford operation, e.g., Hadamard or Phase gates, may fail.',\n", - " 'label': 'Single-qubit error rate',\n", - " 'path': 'jobParams/qubitParams/oneQubitGateErrorRate'},\n", - " {'description': 'Error rate for two-qubit Clifford gate',\n", - " 'explanation': 'This is the probability in which a two-qubit Clifford operation, e.g., CNOT or CZ gates, may fail.',\n", - " 'label': 'Two-qubit error rate',\n", - " 'path': 'jobParams/qubitParams/twoQubitGateErrorRate'},\n", - " {'description': 'Error rate to prepare single-qubit T state or apply a T gate (p_T)',\n", - " 'explanation': 'This is the probability in which executing a single T gate may fail.',\n", - " 'label': 'T gate error rate',\n", - " 'path': 'jobParams/qubitParams/tGateErrorRate'}],\n", - " 'title': 'Physical qubit parameters'}]},\n", - " 'status': 'success',\n", - " 'tfactory': {'codeDistancePerRound': [11],\n", - " 'logicalErrorRate': 2.480000000000001e-07,\n", - " 'numInputTstates': 30,\n", - " 'numRounds': 1,\n", - " 'numTstates': 1,\n", - " 'numUnitsPerRound': [2],\n", - " 'physicalQubits': 9680,\n", - " 'physicalQubitsPerRound': [9680],\n", - " 'runtime': 57200.0,\n", - " 'runtimePerRound': [57200.0],\n", - " 'unitNamePerRound': ['15-to-1 space efficient logical']}}" - ] - }, - "execution_count": 68, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# If you need to pull up the results of an old job, use its job ID with qsharp.azure.output command\n", "# result = qsharp.azure.output(\"...\")\n", @@ -4888,8 +364,9 @@ }, { "cell_type": "code", - "execution_count": 69, + "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -4914,8 +391,9 @@ }, { "cell_type": "code", - "execution_count": 70, + "execution_count": null, "metadata": { + "collapsed": false, "jupyter": { "outputs_hidden": false, "source_hidden": false @@ -4926,37 +404,10 @@ } } }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Logical algorithmic qubits = 38\n", - "Algorithmic depth = 713\n", - "Score = 27094\n" - ] - }, - { - "data": { - "text/plain": [ - "27094" - ] - }, - "execution_count": 70, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "evaluate_results(result)" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { @@ -4964,7 +415,7 @@ "name": "python3" }, "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "Python 3 [Default]", "language": "python", "name": "python3" }, @@ -4978,7 +429,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.9" + "version": "3.9.10" }, "nteract": { "version": "nteract-front-end@1.0.0"
\r\n", + " Assumptions\r\n", + "
    \r\n", + "

  • More details on the following lists of assumptions can be found in the paper Accessing requirements for scaling quantum computers and their applications.

    \n", + "
    • \r\n", + "

  • Uniform independent physical noise. We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.

    \n", + "
    • \r\n", + "

  • Efficient classical computation. We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.

    \n", + "
    • \r\n", + "

  • Extraction circuits for planar quantum ISA. We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).

    \n", + "
    • \r\n", + "

  • Uniform independent logical noise. We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.

    \n", + "
    • \r\n", + "

  • Negligible Clifford costs for synthesis. We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.

    \n", + "
    • \r\n", + "

  • Smooth magic state consumption rate. We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.

    \n", + "
    • \r\n", + "
\r\n", + " Assumptions\r\n", + "
    \r\n", + "

  • More details on the following lists of assumptions can be found in the paper Accessing requirements for scaling quantum computers and their applications.

    \n", + "
    • \r\n", + "

  • Uniform independent physical noise. We assume that the noise on physical qubits and physical qubit operations is the standard circuit noise model. In particular we assume error events at different space-time locations are independent and that error rates are uniform across the system in time and space.

    \n", + "
    • \r\n", + "

  • Efficient classical computation. We assume that classical overhead (compilation, control, feedback, readout, decoding, etc.) does not dominate the overall cost of implementing the full quantum algorithm.

    \n", + "
    • \r\n", + "

  • Extraction circuits for planar quantum ISA. We assume that stabilizer extraction circuits with similar depth and error correction performance to those for standard surface and Hastings-Haah code patches can be constructed to implement all operations of the planar quantum ISA (instruction set architecture).

    \n", + "
    • \r\n", + "

  • Uniform independent logical noise. We assume that the error rate of a logical operation is approximately equal to its space-time volume (the number of tiles multiplied by the number of logical time steps) multiplied by the error rate of a logical qubit in a standard one-tile patch in one logical time step.

    \n", + "
    • \r\n", + "

  • Negligible Clifford costs for synthesis. We assume that the space overhead for synthesis and space and time overhead for transport of magic states within magic state factories and to synthesis qubits are all negligible.

    \n", + "
    • \r\n", + "

  • Smooth magic state consumption rate. We assume that the rate of T state consumption throughout the compiled algorithm is almost constant, or can be made almost constant without significantly increasing the number of logical time steps for the algorithm.

    \n", + "
    • \r\n", + "