Enhance the ISA check with validation of rzz angle (#1953)

yaelbh · web-flow · commit 8b38d1ee5b69 · 2024-09-26T10:08:04.000-04:00
* Enhance the ISA check with validation of rzz angle

* lint

* lint
diff --git a/qiskit_ibm_runtime/fake_provider/backends/fractional/conf_fractional.json b/qiskit_ibm_runtime/fake_provider/backends/fractional/conf_fractional.json
@@ -1 +1 @@
-{"backend_name": "fake_fractional", "backend_version": "1.0.5", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset", "rx", "rzx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["measure", "u3", "setf", "x", "delay", "id", "acquire", "sx", "u2", "u1", "cx", "shiftf", "play", "rz", "reset", "rx", "rzx", "if_else", "while_loop"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4, segment: T", "n_registers": 1, "credits_required": true, "online_date": "2021-01-08T05:00:00+00:00", "description": "5 qubit device fractional tester", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "T"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "multi_meas_enabled": true, "quantum_volume": 8, "qubit_channel_mapping": [["u0", "m0", "d0", "u1"], ["u4", "u3", "u0", "u2", "m1", "u1", "d1", "u5"], ["d2", "u4", "u2", "m2"], ["u3", "u7", "m3", "d3", "u6", "u5"], ["d4", "u6", "m4", "u7"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.52968554992376, 5.52968554992376], [4.628321697435369, 5.628321697435369], [4.74749131011471, 5.74749131011471], [4.803339662601714, 5.803339662601714], [4.591790567452984, 5.5917905674529855]], "meas_lo_range": [[6.925143125000002, 7.925143125000002], [6.721646720000002, 7.721646720000002], [6.971842939, 7.971842939], [6.8653172320000015, 7.8653172320000015], [6.919067567000002, 7.919067567000002]], "meas_kernels": ["hw_boxcar"], "discriminators": ["hw_centroid", "linear_discriminator", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,4)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad4*X3||U6", "omegad3*X4||U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.109526390232452, "delta1": -2.0002465324219205, "delta2": -2.0960936199138844, "delta3": -2.0812544393432897, "delta4": -2.1015348325639516, "jq0q1": 0.011088625669671271, "jq1q2": 0.011792549393436344, "jq1q3": 0.011913891984976948, "jq3q4": 0.01165632975311803, "omegad0": 1.5262727915514445, "omegad1": 1.2641690419030664, "omegad2": 1.3397127967877365, "omegad3": 1.509152095855826, "omegad4": 1.497387831726462, "wq0": 31.602446347014453, "wq1": 32.222195539816184, "wq2": 32.9709602992653, "wq3": 33.321865847041835, "wq4": 31.992663680656207}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}}
+{"backend_name": "fake_fractional", "backend_version": "1.0.5", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset", "rx", "rzx", "rzz"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3*pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["measure", "u3", "setf", "x", "delay", "id", "acquire", "sx", "u2", "u1", "cx", "shiftf", "play", "rz", "reset", "rx", "rzx", "if_else", "while_loop"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4, segment: T", "n_registers": 1, "credits_required": true, "online_date": "2021-01-08T05:00:00+00:00", "description": "5 qubit device fractional tester", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "T"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "multi_meas_enabled": true, "quantum_volume": 8, "qubit_channel_mapping": [["u0", "m0", "d0", "u1"], ["u4", "u3", "u0", "u2", "m1", "u1", "d1", "u5"], ["d2", "u4", "u2", "m2"], ["u3", "u7", "m3", "d3", "u6", "u5"], ["d4", "u6", "m4", "u7"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.52968554992376, 5.52968554992376], [4.628321697435369, 5.628321697435369], [4.74749131011471, 5.74749131011471], [4.803339662601714, 5.803339662601714], [4.591790567452984, 5.5917905674529855]], "meas_lo_range": [[6.925143125000002, 7.925143125000002], [6.721646720000002, 7.721646720000002], [6.971842939, 7.971842939], [6.8653172320000015, 7.8653172320000015], [6.919067567000002, 7.919067567000002]], "meas_kernels": ["hw_boxcar"], "discriminators": ["hw_centroid", "linear_discriminator", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just |0> and |1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2*pi*GHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,4)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2*(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2*O{i}*O{i}]", "_SUM[i,0,4,-delta{i}/2*O{i}]", "_SUM[i,0,4,omegad{i}*X{i}||D{i}]", "jq0q1*Sp0*Sm1", "jq0q1*Sm0*Sp1", "jq1q3*Sp1*Sm3", "jq1q3*Sm1*Sp3", "jq3q4*Sp3*Sm4", "jq3q4*Sm3*Sp4", "jq1q2*Sp1*Sm2", "jq1q2*Sm1*Sp2", "omegad1*X0||U0", "omegad0*X1||U1", "omegad3*X1||U3", "omegad2*X1||U2", "omegad1*X2||U4", "omegad1*X3||U5", "omegad4*X3||U6", "omegad3*X4||U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.109526390232452, "delta1": -2.0002465324219205, "delta2": -2.0960936199138844, "delta3": -2.0812544393432897, "delta4": -2.1015348325639516, "jq0q1": 0.011088625669671271, "jq1q2": 0.011792549393436344, "jq1q3": 0.011913891984976948, "jq3q4": 0.01165632975311803, "omegad0": 1.5262727915514445, "omegad1": 1.2641690419030664, "omegad2": 1.3397127967877365, "omegad3": 1.509152095855826, "omegad4": 1.497387831726462, "wq0": 31.602446347014453, "wq1": 32.222195539816184, "wq2": 32.9709602992653, "wq3": 33.321865847041835, "wq4": 31.992663680656207}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}}
diff --git a/qiskit_ibm_runtime/utils/utils.py b/qiskit_ibm_runtime/utils/utils.py
@@ -22,6 +22,7 @@
 from threading import Condition
 from typing import List, Optional, Any, Dict, Union, Tuple
 from urllib.parse import urlparse
+import numpy as np
 
 import requests
 from ibm_cloud_sdk_core.authenticators import (  # pylint: disable=import-error
@@ -67,6 +68,16 @@ def _is_isa_circuit_helper(circuit: QuantumCircuit, target: Target, qubit_map: D
                 f"The instruction {name} on qubits {qargs} is not supported by the target system."
             )
 
+        # rzz gate is calibrated only for the range [0, pi/2].
+        # We allow an angle value of a bit more than pi/2, to compensate floating point rounding
+        # errors (beyond pi/2 does not trigger an error down the stack, only may become less
+        # accurate).
+        if name == "rzz" and (
+            instruction.params[0] < 0.0 or instruction.params[0] > 1.001 * np.pi / 2
+        ):
+            return f"The instruction {name} on qubits {qargs} is supported only for angles in the \
+            range [0, pi/2], but an angle of {instruction.params[0]} has been provided."
+
         if isinstance(operation, ControlFlowOp):
             for sub_circ in operation.blocks:
                 sub_string = _is_isa_circuit_helper(sub_circ, target, qubit_map)
diff --git a/test/unit/test_sampler.py b/test/unit/test_sampler.py
@@ -260,3 +260,17 @@ def test_isa_inside_condition_block(self, backend):
         else:
             with self.assertRaises(IBMInputValueError):
                 SamplerV2(backend).run(pubs=[(circ)])
+
+    @data(-1, 1, 2)
+    def test_rzz_angle_validation(self, angle):
+        """Test exception when rzz gate is used with an angle outside the range [0, pi/2]"""
+        backend = FakeFractionalBackend()
+
+        circ = QuantumCircuit(2)
+        circ.rzz(angle, 0, 1)
+
+        if angle == 1:
+            SamplerV2(backend).run(pubs=[(circ)])
+        else:
+            with self.assertRaises(IBMInputValueError):
+                SamplerV2(backend).run(pubs=[(circ)])

Original file line number	Diff line number	Diff line change
`@@ -1 +1 @@`
`1`		-{"backend_name": "fake_fractional", "backend_version": "1.0.5", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset", "rx", "rzx"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["measure", "u3", "setf", "x", "delay", "id", "acquire", "sx", "u2", "u1", "cx", "shiftf", "play", "rz", "reset", "rx", "rzx", "if_else", "while_loop"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4, segment: T", "n_registers": 1, "credits_required": true, "online_date": "2021-01-08T05:00:00+00:00", "description": "5 qubit device fractional tester", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "T"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "multi_meas_enabled": true, "quantum_volume": 8, "qubit_channel_mapping": [["u0", "m0", "d0", "u1"], ["u4", "u3", "u0", "u2", "m1", "u1", "d1", "u5"], ["d2", "u4", "u2", "m2"], ["u3", "u7", "m3", "d3", "u6", "u5"], ["d4", "u6", "m4", "u7"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.52968554992376, 5.52968554992376], [4.628321697435369, 5.628321697435369], [4.74749131011471, 5.74749131011471], [4.803339662601714, 5.803339662601714], [4.591790567452984, 5.5917905674529855]], "meas_lo_range": [[6.925143125000002, 7.925143125000002], [6.721646720000002, 7.721646720000002], [6.971842939, 7.971842939], [6.8653172320000015, 7.8653172320000015], [6.919067567000002, 7.919067567000002]], "meas_kernels": ["hw_boxcar"], "discriminators": ["hw_centroid", "linear_discriminator", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just \|0> and \|1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2piGHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,4)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2O{i}O{i}]", "_SUM[i,0,4,-delta{i}/2O{i}]", "_SUM[i,0,4,omegad{i}X{i}\|\|D{i}]", "jq0q1Sp0Sm1", "jq0q1Sm0Sp1", "jq1q3Sp1Sm3", "jq1q3Sm1Sp3", "jq3q4Sp3Sm4", "jq3q4Sm3Sp4", "jq1q2Sp1Sm2", "jq1q2Sm1Sp2", "omegad1X0\|\|U0", "omegad0X1\|\|U1", "omegad3X1\|\|U3", "omegad2X1\|\|U2", "omegad1X2\|\|U4", "omegad1X3\|\|U5", "omegad4X3\|\|U6", "omegad3X4\|\|U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.109526390232452, "delta1": -2.0002465324219205, "delta2": -2.0960936199138844, "delta3": -2.0812544393432897, "delta4": -2.1015348325639516, "jq0q1": 0.011088625669671271, "jq1q2": 0.011792549393436344, "jq1q3": 0.011913891984976948, "jq3q4": 0.01165632975311803, "omegad0": 1.5262727915514445, "omegad1": 1.2641690419030664, "omegad2": 1.3397127967877365, "omegad3": 1.509152095855826, "omegad4": 1.497387831726462, "wq0": 31.602446347014453, "wq1": 32.222195539816184, "wq2": 32.9709602992653, "wq3": 33.321865847041835, "wq4": 31.992663680656207}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}}
	`1`	+{"backend_name": "fake_fractional", "backend_version": "1.0.5", "n_qubits": 5, "basis_gates": ["id", "rz", "sx", "x", "cx", "reset", "rx", "rzx", "rzz"], "gates": [{"name": "id", "parameters": [], "qasm_def": "gate id q { U(0, 0, 0) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "rz", "parameters": ["theta"], "qasm_def": "gate rz(theta) q { U(0, 0, theta) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "sx", "parameters": [], "qasm_def": "gate sx q { U(pi/2, 3pi/2, pi/2) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "x", "parameters": [], "qasm_def": "gate x q { U(pi, 0, pi) q; }", "coupling_map": [[0], [1], [2], [3], [4]]}, {"name": "cx", "parameters": [], "qasm_def": "gate cx q0, q1 { CX q0, q1; }", "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]]}, {"name": "reset", "parameters": null, "qasm_def": null}], "local": false, "simulator": false, "conditional": false, "open_pulse": true, "memory": true, "max_shots": 8192, "coupling_map": [[0, 1], [1, 0], [1, 2], [1, 3], [2, 1], [3, 1], [3, 4], [4, 3]], "dynamic_reprate_enabled": true, "supported_instructions": ["measure", "u3", "setf", "x", "delay", "id", "acquire", "sx", "u2", "u1", "cx", "shiftf", "play", "rz", "reset", "rx", "rzx", "if_else", "while_loop"], "rep_delay_range": [0.0, 500.0], "default_rep_delay": 250.0, "max_experiments": 900, "sample_name": "family: Falcon, revision: 4, segment: T", "n_registers": 1, "credits_required": true, "online_date": "2021-01-08T05:00:00+00:00", "description": "5 qubit device fractional tester", "dt": 0.2222222222222222, "dtm": 0.2222222222222222, "processor_type": {"family": "Falcon", "revision": 4, "segment": "T"}, "parametric_pulses": ["gaussian", "gaussian_square", "drag", "constant"], "allow_q_object": true, "multi_meas_enabled": true, "quantum_volume": 8, "qubit_channel_mapping": [["u0", "m0", "d0", "u1"], ["u4", "u3", "u0", "u2", "m1", "u1", "d1", "u5"], ["d2", "u4", "u2", "m2"], ["u3", "u7", "m3", "d3", "u6", "u5"], ["d4", "u6", "m4", "u7"]], "uchannels_enabled": true, "url": "None", "allow_object_storage": true, "n_uchannels": 8, "u_channel_lo": [[{"q": 1, "scale": [1.0, 0.0]}], [{"q": 0, "scale": [1.0, 0.0]}], [{"q": 2, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 1, "scale": [1.0, 0.0]}], [{"q": 4, "scale": [1.0, 0.0]}], [{"q": 3, "scale": [1.0, 0.0]}]], "meas_levels": [1, 2], "qubit_lo_range": [[4.52968554992376, 5.52968554992376], [4.628321697435369, 5.628321697435369], [4.74749131011471, 5.74749131011471], [4.803339662601714, 5.803339662601714], [4.591790567452984, 5.5917905674529855]], "meas_lo_range": [[6.925143125000002, 7.925143125000002], [6.721646720000002, 7.721646720000002], [6.971842939, 7.971842939], [6.8653172320000015, 7.8653172320000015], [6.919067567000002, 7.919067567000002]], "meas_kernels": ["hw_boxcar"], "discriminators": ["hw_centroid", "linear_discriminator", "quadratic_discriminator"], "rep_times": [1000.0], "meas_map": [[0, 1, 2, 3, 4]], "acquisition_latency": [], "conditional_latency": [], "hamiltonian": {"description": "Qubits are modeled as Duffing oscillators. In this case, the system includes higher energy states, i.e. not just \|0> and \|1>. The Pauli operators are generalized via the following set of transformations:\n\n$(\\mathbb{I}-\\sigma_{i}^z)/2 \\rightarrow O_i \\equiv b^\\dagger_{i} b_{i}$,\n\n$\\sigma_{+} \\rightarrow b^\\dagger$,\n\n$\\sigma_{-} \\rightarrow b$,\n\n$\\sigma_{i}^X \\rightarrow b^\\dagger_{i} + b_{i}$.\n\nQubits are coupled through resonator buses. The provided Hamiltonian has been projected into the zero excitation subspace of the resonator buses leading to an effective qubit-qubit flip-flop interaction. The qubit resonance frequencies in the Hamiltonian are the cavity dressed frequencies and not exactly what is returned by the backend defaults, which also includes the dressing due to the qubit-qubit interactions.\n\nQuantities are returned in angular frequencies, with units 2piGHz.\n\nWARNING: Currently not all system Hamiltonian information is available to the public, missing values have been replaced with 0.\n", "h_latex": "\\begin{align} \\mathcal{H}/\\hbar = & \\sum_{i=0}^{4}\\left(\\frac{\\omega_{q,i}}{2}(\\mathbb{I}-\\sigma_i^{z})+\\frac{\\Delta_{i}}{2}(O_i^2-O_i)+\\Omega_{d,i}D_i(t)\\sigma_i^{X}\\right) \\\\ & + J_{0,1}(\\sigma_{0}^{+}\\sigma_{1}^{-}+\\sigma_{0}^{-}\\sigma_{1}^{+}) + J_{1,3}(\\sigma_{1}^{+}\\sigma_{3}^{-}+\\sigma_{1}^{-}\\sigma_{3}^{+}) + J_{3,4}(\\sigma_{3}^{+}\\sigma_{4}^{-}+\\sigma_{3}^{-}\\sigma_{4}^{+}) + J_{1,2}(\\sigma_{1}^{+}\\sigma_{2}^{-}+\\sigma_{1}^{-}\\sigma_{2}^{+}) \\\\ & + \\Omega_{d,0}(U_{0}^{(0,1)}(t))\\sigma_{0}^{X} + \\Omega_{d,1}(U_{1}^{(1,0)}(t)+U_{3}^{(1,3)}(t)+U_{2}^{(1,2)}(t))\\sigma_{1}^{X} \\\\ & + \\Omega_{d,2}(U_{4}^{(2,1)}(t))\\sigma_{2}^{X} + \\Omega_{d,3}(U_{5}^{(3,1)}(t)+U_{6}^{(3,4)}(t))\\sigma_{3}^{X} \\\\ & + \\Omega_{d,4}(U_{7}^{(4,3)}(t))\\sigma_{4}^{X} \\\\ \\end{align}", "h_str": ["_SUM[i,0,4,wq{i}/2(I{i}-Z{i})]", "_SUM[i,0,4,delta{i}/2O{i}O{i}]", "_SUM[i,0,4,-delta{i}/2O{i}]", "_SUM[i,0,4,omegad{i}X{i}\|\|D{i}]", "jq0q1Sp0Sm1", "jq0q1Sm0Sp1", "jq1q3Sp1Sm3", "jq1q3Sm1Sp3", "jq3q4Sp3Sm4", "jq3q4Sm3Sp4", "jq1q2Sp1Sm2", "jq1q2Sm1Sp2", "omegad1X0\|\|U0", "omegad0X1\|\|U1", "omegad3X1\|\|U3", "omegad2X1\|\|U2", "omegad1X2\|\|U4", "omegad1X3\|\|U5", "omegad4X3\|\|U6", "omegad3X4\|\|U7"], "osc": {}, "qub": {"0": 3, "1": 3, "2": 3, "3": 3, "4": 3}, "vars": {"delta0": -2.109526390232452, "delta1": -2.0002465324219205, "delta2": -2.0960936199138844, "delta3": -2.0812544393432897, "delta4": -2.1015348325639516, "jq0q1": 0.011088625669671271, "jq1q2": 0.011792549393436344, "jq1q3": 0.011913891984976948, "jq3q4": 0.01165632975311803, "omegad0": 1.5262727915514445, "omegad1": 1.2641690419030664, "omegad2": 1.3397127967877365, "omegad3": 1.509152095855826, "omegad4": 1.497387831726462, "wq0": 31.602446347014453, "wq1": 32.222195539816184, "wq2": 32.9709602992653, "wq3": 33.321865847041835, "wq4": 31.992663680656207}}, "channels": {"acquire0": {"operates": {"qubits": [0]}, "purpose": "acquire", "type": "acquire"}, "acquire1": {"operates": {"qubits": [1]}, "purpose": "acquire", "type": "acquire"}, "acquire2": {"operates": {"qubits": [2]}, "purpose": "acquire", "type": "acquire"}, "acquire3": {"operates": {"qubits": [3]}, "purpose": "acquire", "type": "acquire"}, "acquire4": {"operates": {"qubits": [4]}, "purpose": "acquire", "type": "acquire"}, "d0": {"operates": {"qubits": [0]}, "purpose": "drive", "type": "drive"}, "d1": {"operates": {"qubits": [1]}, "purpose": "drive", "type": "drive"}, "d2": {"operates": {"qubits": [2]}, "purpose": "drive", "type": "drive"}, "d3": {"operates": {"qubits": [3]}, "purpose": "drive", "type": "drive"}, "d4": {"operates": {"qubits": [4]}, "purpose": "drive", "type": "drive"}, "m0": {"operates": {"qubits": [0]}, "purpose": "measure", "type": "measure"}, "m1": {"operates": {"qubits": [1]}, "purpose": "measure", "type": "measure"}, "m2": {"operates": {"qubits": [2]}, "purpose": "measure", "type": "measure"}, "m3": {"operates": {"qubits": [3]}, "purpose": "measure", "type": "measure"}, "m4": {"operates": {"qubits": [4]}, "purpose": "measure", "type": "measure"}, "u0": {"operates": {"qubits": [0, 1]}, "purpose": "cross-resonance", "type": "control"}, "u1": {"operates": {"qubits": [1, 0]}, "purpose": "cross-resonance", "type": "control"}, "u2": {"operates": {"qubits": [1, 2]}, "purpose": "cross-resonance", "type": "control"}, "u3": {"operates": {"qubits": [1, 3]}, "purpose": "cross-resonance", "type": "control"}, "u4": {"operates": {"qubits": [2, 1]}, "purpose": "cross-resonance", "type": "control"}, "u5": {"operates": {"qubits": [3, 1]}, "purpose": "cross-resonance", "type": "control"}, "u6": {"operates": {"qubits": [3, 4]}, "purpose": "cross-resonance", "type": "control"}, "u7": {"operates": {"qubits": [4, 3]}, "purpose": "cross-resonance", "type": "control"}}}