Planted Noisy kXOR

Author: anurudhp

dev_tools/autogenerate-bloqs-notebooks-v2.py

@@ -72,6 +72,7 @@
 import qualtran.bloqs.block_encoding.phase
 import qualtran.bloqs.block_encoding.product
 import qualtran.bloqs.block_encoding.sparse_matrix
+import qualtran.bloqs.block_encoding.sparse_matrix_hermitian
 import qualtran.bloqs.block_encoding.tensor_product
 import qualtran.bloqs.block_encoding.unitary
 import qualtran.bloqs.bookkeeping
@@ -106,6 +107,18 @@
 import qualtran.bloqs.factoring.ecc
 import qualtran.bloqs.factoring.mod_exp
 import qualtran.bloqs.hamiltonian_simulation.hamiltonian_simulation_by_gqsp
+import qualtran.bloqs.max_k_xor_sat
+import qualtran.bloqs.max_k_xor_sat.arithmetic
+import qualtran.bloqs.max_k_xor_sat.arithmetic.has_duplicates
+import qualtran.bloqs.max_k_xor_sat.arithmetic.sort_in_place
+import qualtran.bloqs.max_k_xor_sat.arithmetic.symmetric_difference
+import qualtran.bloqs.max_k_xor_sat.guided_hamiltonian
+import qualtran.bloqs.max_k_xor_sat.guided_hamiltonian.guided_hamiltonian
+import qualtran.bloqs.max_k_xor_sat.guided_hamiltonian.walk_operator
+import qualtran.bloqs.max_k_xor_sat.guiding_state
+import qualtran.bloqs.max_k_xor_sat.kikuchi_block_encoding
+import qualtran.bloqs.max_k_xor_sat.load_kxor_instance
+import qualtran.bloqs.max_k_xor_sat.planted_noisy_kxor
 import qualtran.bloqs.mcmt.and_bloq
 import qualtran.bloqs.mcmt.controlled_via_and
 import qualtran.bloqs.mcmt.ctrl_spec_and
@@ -699,6 +712,13 @@
         module=qualtran.bloqs.block_encoding.sparse_matrix,
         bloq_specs=[qualtran.bloqs.block_encoding.sparse_matrix._SPARSE_MATRIX_DOC],
     ),
+    NotebookSpecV2(
+        title='Sparse Matrix (Hermitian)',
+        module=qualtran.bloqs.block_encoding.sparse_matrix_hermitian,
+        bloq_specs=[
+            qualtran.bloqs.block_encoding.sparse_matrix_hermitian._SPARSE_MATRIX_HERMITIAN_DOC
+        ],
+    ),
     NotebookSpecV2(
         title='Chebyshev Polynomial',
         module=qualtran.bloqs.block_encoding.chebyshev_polynomial,
@@ -828,6 +848,57 @@
         ],
     ),
 ]
+# --------------------------------------------------------------------------
+# -----   Quartic Speedups paper  ------------------------------------------
+# --------------------------------------------------------------------------
+ALGO_QUARTIC_SPEEDUPS = [
+    # -----   Preliminaries  ------------------------------------------
+    NotebookSpecV2(
+        title='Guided (sparse) Hamiltonian Problem',
+        module=qualtran.bloqs.max_k_xor_sat.guided_hamiltonian.guided_hamiltonian,
+        bloq_specs=[
+            qualtran.bloqs.max_k_xor_sat.guided_hamiltonian.guided_hamiltonian._GUIDED_HAMILTONIAN_DOC,
+            qualtran.bloqs.max_k_xor_sat.guided_hamiltonian.guided_hamiltonian._GUIDED_HAMILTONIAN_PHASE_ESTIMATION_DOC,
+        ],
+    ),
+    NotebookSpecV2(
+        title='Arithmetic Primitives',
+        module=qualtran.bloqs.max_k_xor_sat.arithmetic,
+        bloq_specs=[
+            qualtran.bloqs.max_k_xor_sat.arithmetic.sort_in_place._SORT_IN_PLACE_DOC,
+            qualtran.bloqs.max_k_xor_sat.arithmetic.symmetric_difference._SYMMETRIC_DIFFERENCE_DOC,
+            qualtran.bloqs.max_k_xor_sat.arithmetic.has_duplicates._HAS_DUPLICATES_DOC,
+        ],
+    ),
+    # -----   Algorithm  ------------------------------------------
+    NotebookSpecV2(
+        title='kXOR: Instance load Oracles',
+        module=qualtran.bloqs.max_k_xor_sat.load_kxor_instance,
+        bloq_specs=[qualtran.bloqs.max_k_xor_sat.load_kxor_instance._LOAD_INSTANCE_DOC],
+    ),
+    NotebookSpecV2(
+        title='Noisy kXOR: Guiding State',
+        module=qualtran.bloqs.max_k_xor_sat.guiding_state,
+        bloq_specs=[
+            qualtran.bloqs.max_k_xor_sat.guiding_state._SIMPLE_GUIDING_STATE_DOC,
+            qualtran.bloqs.max_k_xor_sat.guiding_state._GUIDING_STATE_DOC,
+        ],
+    ),
+    NotebookSpecV2(
+        title='Noisy kXOR: Block-encoding the Kikuchi Matrix',
+        module=qualtran.bloqs.max_k_xor_sat.kikuchi_block_encoding,
+        bloq_specs=[
+            qualtran.bloqs.max_k_xor_sat.kikuchi_adjacency_matrix._KIKUCHI_MATRIX_ENTRY_DOC,
+            qualtran.bloqs.max_k_xor_sat.kikuchi_adjacency_list._KIKUCHI_NONZERO_INDEX_DOC,
+            qualtran.bloqs.max_k_xor_sat.kikuchi_block_encoding._KIKUCHI_HAMILTONIAN_DOC,
+        ],
+    ),
+    NotebookSpecV2(
+        title='Algorithm: Planted Noise kXOR',
+        module=qualtran.bloqs.max_k_xor_sat.planted_noisy_kxor,
+        bloq_specs=[qualtran.bloqs.max_k_xor_sat.planted_noisy_kxor._PLANTED_NOISY_KXOR_DOC],
+    ),
+]
 
 # --------------------------------------------------------------------------
 # -----   Concepts   -------------------------------------------------------
@@ -854,6 +925,7 @@
     ('Modular Arithmetic', MOD_ARITHMETIC),
     ('Rotations', ROT_QFT_PE),
     ('Block Encoding', BLOCK_ENCODING),
+    ('Paper: Quartic Quantum Speedups for Planted Inference', ALGO_QUARTIC_SPEEDUPS),
     ('Other', OTHER),
 ]
 

docs/bloqs/index.rst

@@ -118,9 +118,21 @@ Bloqs Library
     block_encoding/phase.ipynb
     block_encoding/linear_combination.ipynb
     block_encoding/sparse_matrix.ipynb
+    block_encoding/sparse_matrix_hermitian.ipynb
     block_encoding/chebyshev_polynomial.ipynb
     block_encoding/lcu_block_encoding.ipynb
 
+.. toctree::
+    :maxdepth: 2
+    :caption: Paper: Quartic Quantum Speedups for Planted Inference:
+
+    max_k_xor_sat/guided_hamiltonian/guided_hamiltonian.ipynb
+    max_k_xor_sat/arithmetic/arithmetic.ipynb
+    max_k_xor_sat/load_kxor_instance.ipynb
+    max_k_xor_sat/guiding_state.ipynb
+    max_k_xor_sat/kikuchi_block_encoding.ipynb
+    max_k_xor_sat/planted_noisy_kxor.ipynb
+
 .. toctree::
     :maxdepth: 2
     :caption: Other: