diff --git a/pr-1854/api/languages/python_api.html b/pr-1854/api/languages/python_api.html index 2799672196..4af7532b37 100644 --- a/pr-1854/api/languages/python_api.html +++ b/pr-1854/api/languages/python_api.html @@ -1974,7 +1974,7 @@

Data Typesstatic random()
-random(qubit_count: int, term_count: int, seed: int = 3235972690) → cudaq.mlir._mlir_libs._quakeDialects.cudaq_runtime.SpinOperator
+random(qubit_count: int, term_count: int, seed: int = 3450748154) → cudaq.mlir._mlir_libs._quakeDialects.cudaq_runtime.SpinOperator

Return a random SpinOperator on the given number of qubits (qubit_count) and composed of the given number of terms (term_count). An optional seed value may also be provided.

diff --git a/pr-1854/examples/python/tutorials/deutschs_algorithm.html b/pr-1854/examples/python/tutorials/deutschs_algorithm.html index dd41475c2a..e6ac0ac84a 100644 --- a/pr-1854/examples/python/tutorials/deutschs_algorithm.html +++ b/pr-1854/examples/python/tutorials/deutschs_algorithm.html @@ -586,7 +586,7 @@

XOR \(\oplus\)

Quantum oracles

-

50cead6772184cdd9a87f06a3ea53ab1

+

c34b9810fb3c42f59b116d12f25a6f1f

Suppose we have \(f(x): \{0,1\} \longrightarrow \{0,1\}\). We can compute this function on a quantum computer using oracles which we treat as black box functions that yield the output with an appropriate sequence of logic gates.

Above you see an oracle represented as \(U_f\) which allows us to transform the state \(\ket{x}\ket{y}\) into:

@@ -634,7 +634,7 @@

Quantum parallelism

Our aim is to find out if \(f: \{0,1\} \longrightarrow \{0,1\}\) is a constant or a balanced function? If constant, \(f(0) = f(1)\), and if balanced, \(f(0) \neq f(1)\).

We step through the circuit diagram below and follow the math after the application of each gate.

-

2e312f7c78124c2daea9b0593396c38c

+

6a113f3bf9ae481ba739c64db51a7de0

\[\ket{\psi_0} = \ket{01} \tag{1}\]
diff --git a/pr-1854/searchindex.js b/pr-1854/searchindex.js index 12d9b3d44a..4d59706419 100644 --- a/pr-1854/searchindex.js +++ b/pr-1854/searchindex.js @@ -1 +1 @@ -Search.setIndex({"docnames": ["api/api", "api/default_ops", "api/languages/cpp_api", "api/languages/python_api", "examples/python/tutorials/cost_minimization", "examples/python/tutorials/deutschs_algorithm", "examples/python/tutorials/hybrid_qnns", "examples/python/tutorials/noisy_simulations", "examples/python/tutorials/qaoa", "examples/python/tutorials/quantum_fourier_transform", "examples/python/tutorials/readout_error_mitigation", "examples/python/tutorials/vqe", "index", "releases", "specification/cudaq", "specification/cudaq/algorithmic_primitives", "specification/cudaq/control_flow", "specification/cudaq/dynamic_kernels", "specification/cudaq/examples", "specification/cudaq/kernels", "specification/cudaq/machine_model", "specification/cudaq/namespace", "specification/cudaq/operations", "specification/cudaq/operators", "specification/cudaq/patterns", "specification/cudaq/platform", "specification/cudaq/synthesis", "specification/cudaq/types", "specification/index", "specification/quake-dialect", "using/backends/backends", "using/backends/hardware", "using/backends/nvqc", "using/backends/platform", "using/backends/simulators", "using/basics/basics", "using/basics/build_kernel", "using/basics/kernel_intro", "using/basics/run_kernel", "using/basics/troubleshooting", "using/examples/bernstein_vazirani", "using/examples/cuquantum", "using/examples/examples", "using/examples/expectation_values", "using/examples/hardware_providers", "using/examples/introduction", "using/examples/multi_control", "using/examples/multi_gpu_workflows", "using/examples/noisy_simulation", "using/examples/qaoa", "using/examples/quantum_operations", "using/examples/vqe", "using/extending/cudaq_ir", "using/extending/extending", "using/extending/mlir_pass", "using/extending/nvqir_simulator", "using/install/data_center_install", "using/install/install", "using/install/local_installation", "using/integration/cmake_app", "using/integration/cuda_gpu", "using/integration/integration", "using/quick_start", "using/tutorials", "versions"], "filenames": ["api/api.rst", "api/default_ops.rst", "api/languages/cpp_api.rst", "api/languages/python_api.rst", "examples/python/tutorials/cost_minimization.ipynb", "examples/python/tutorials/deutschs_algorithm.ipynb", "examples/python/tutorials/hybrid_qnns.ipynb", "examples/python/tutorials/noisy_simulations.ipynb", "examples/python/tutorials/qaoa.ipynb", "examples/python/tutorials/quantum_fourier_transform.ipynb", "examples/python/tutorials/readout_error_mitigation.ipynb", "examples/python/tutorials/vqe.ipynb", "index.rst", "releases.rst", "specification/cudaq.rst", "specification/cudaq/algorithmic_primitives.rst", "specification/cudaq/control_flow.rst", "specification/cudaq/dynamic_kernels.rst", "specification/cudaq/examples.rst", "specification/cudaq/kernels.rst", "specification/cudaq/machine_model.rst", "specification/cudaq/namespace.rst", "specification/cudaq/operations.rst", "specification/cudaq/operators.rst", "specification/cudaq/patterns.rst", "specification/cudaq/platform.rst", "specification/cudaq/synthesis.rst", "specification/cudaq/types.rst", "specification/index.rst", "specification/quake-dialect.md", "using/backends/backends.rst", "using/backends/hardware.rst", "using/backends/nvqc.rst", "using/backends/platform.rst", "using/backends/simulators.rst", "using/basics/basics.rst", "using/basics/build_kernel.rst", "using/basics/kernel_intro.rst", "using/basics/run_kernel.rst", "using/basics/troubleshooting.rst", "using/examples/bernstein_vazirani.rst", "using/examples/cuquantum.rst", "using/examples/examples.rst", "using/examples/expectation_values.rst", "using/examples/hardware_providers.rst", "using/examples/introduction.rst", "using/examples/multi_control.rst", "using/examples/multi_gpu_workflows.rst", "using/examples/noisy_simulation.rst", "using/examples/qaoa.rst", "using/examples/quantum_operations.rst", "using/examples/vqe.rst", "using/extending/cudaq_ir.rst", "using/extending/extending.rst", "using/extending/mlir_pass.rst", "using/extending/nvqir_simulator.rst", "using/install/data_center_install.rst", "using/install/install.rst", "using/install/local_installation.rst", "using/integration/cmake_app.rst", "using/integration/cuda_gpu.rst", "using/integration/integration.rst", "using/quick_start.rst", "using/tutorials.rst", "versions.rst"], "titles": ["Code documentation", "Quantum Operations", "CUDA-Q C++ API", "CUDA-Q Python API", "Cost Minimization", "Deutschs\u2019 Algorithm", "Hybrid Quantum Neural Networks", "Noisy Simulation", "Max-Cut with QAOA", "Quantum Fourier Transform", "Readout Error Mitigation", "Variational Quantum Eigensolver", "CUDA-Q", "CUDA-Q Releases", "Language Specification", "12. 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[1, 2, 5, 8, 15, 17, 18, 22, 32, 33, 36, 40, 41, 43, 44, 45, 46, 49, 50, 51, 52, 58, 62], "condit": [1, 2, 7, 9, 15, 16, 17, 19, 20, 34, 37, 50, 52], "more": [1, 2, 3, 8, 9, 10, 13, 17, 20, 22, 23, 29, 31, 32, 33, 34, 37, 38, 44, 47, 49, 50, 51, 56, 58, 60, 62, 64], "wikipedia": 1, "entri": [1, 15, 19, 33, 52, 58], "ctrl_1": 1, "ctrl_2": 1, "00": [1, 7, 38, 47, 50, 62], "11": [1, 3, 6, 7, 10, 15, 32, 38, 47, 50, 52, 56, 58, 60, 62], "onli": [1, 3, 10, 15, 19, 20, 24, 27, 29, 31, 32, 33, 37, 40, 41, 44, 50, 52, 54, 56, 58, 62], "both": [1, 3, 5, 6, 20, 29, 31, 33, 34, 50, 51, 56, 58, 60], "000": [1, 9, 10, 32, 38], "111": [1, 9, 10], "follow": [1, 2, 3, 5, 8, 9, 10, 13, 15, 17, 19, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 38, 39, 43, 44, 45, 48, 52, 54, 55, 56, 58, 59, 62, 64], "common": [1, 10, 11, 15, 19, 22, 23, 52, 56, 60], "convent": [1, 6, 8], "all": [1, 2, 3, 10, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 24, 25, 27, 29, 31, 32, 33, 38, 40, 43, 44, 47, 48, 49, 50, 51, 52, 56, 58, 59, 62, 64], "howev": [1, 9, 10, 29, 31, 33, 62], "behavior": [1, 2], "chang": [1, 2, 9, 13, 15, 19, 38, 58, 62, 64], "instead": [1, 2, 7, 21, 24, 34, 38, 56, 58], "when": [1, 2, 3, 8, 10, 15, 20, 27, 29, 32, 33, 34, 38, 43, 44, 45, 48, 52, 55, 56, 58, 62], "negat": [1, 2, 3, 22, 26, 27], "polar": [1, 22, 26], "syntax": [1, 13, 14, 19, 20, 22, 24, 31, 44, 60, 64], "preced": [1, 22, 31], "01": [1, 5, 7, 50], "10": [1, 6, 7, 8, 10, 15, 18, 19, 38, 45, 47, 50, 51, 52, 62], "notat": [1, 50], "context": [1, 2, 6, 20, 33, 34, 55], "valid": [1, 2, 3, 12, 19, 31, 34, 44, 56, 58], "either": [1, 5, 6, 8, 20, 31, 33, 34, 44, 50, 51, 56, 58, 62], "similarli": [1, 5, 39, 50], "condition": 1, "respect": [1, 2, 3, 8, 15, 31, 38, 43, 47, 56, 58, 62], "e": [1, 2, 3, 5, 8, 9, 10, 11, 14, 15, 16, 18, 19, 20, 21, 22, 23, 29, 31, 32, 33, 34, 41, 44, 52, 55, 56, 58, 62], "project": [1, 34, 55, 58, 59], "onto": [1, 50], "eigenvector": [1, 2], "non": [1, 2, 3, 10, 15, 19, 20, 27, 33, 34, 38, 43, 45], "linear": [1, 6, 7, 9, 11, 32, 38, 50], "avail": [1, 2, 3, 12, 13, 14, 15, 19, 20, 22, 25, 26, 27, 28, 30, 31, 32, 33, 34, 37, 38, 40, 42, 43, 52, 56, 58, 62, 64], "class": [2, 3, 6, 15, 17, 19, 23, 25, 27, 33, 34, 51, 54, 55], "spin_op": [2, 3, 15, 18, 22, 32, 33, 38, 43, 49, 51], "repres": [2, 3, 5, 7, 8, 9, 15, 29, 34, 50, 51, 52], "gener": [2, 3, 8, 9, 10, 11, 15, 17, 18, 19, 20, 22, 23, 26, 28, 31, 32, 37, 40, 41, 43, 44, 45, 46, 50, 52, 54, 58], "sum": [2, 3, 6, 8, 10, 23, 27, 50], "tensor": [2, 3, 6, 10, 13, 23, 32, 41, 55, 64], "product": [2, 3, 10, 12, 13, 23, 32, 40, 62, 64], "expos": [2, 3, 15, 17, 23, 25, 29, 33, 55], "typic": [2, 15, 27, 32, 36, 37, 43, 52, 59, 60], "algebra": [2, 23, 43, 50], "programm": [2, 3, 15, 16, 17, 19, 20, 22, 24, 25, 27, 31, 33, 45], "primit": [2, 8, 14, 17, 20, 23, 27, 28, 33, 37], "them": [2, 10, 13, 29, 36, 50, 52, 56, 58, 60, 62, 64], "compos": [2, 3, 6, 8, 19, 20, 52], "larger": [2, 3, 8, 32, 40, 41], "complex": [2, 3, 7, 23, 29, 33, 38, 47, 48, 50, 51], "thereof": [2, 20, 23], "public": [2, 15, 17, 23, 25, 27, 33, 40, 51, 54, 55, 58], "type": [2, 4, 5, 8, 9, 10, 14, 15, 17, 19, 20, 22, 23, 28, 31, 33, 34, 36, 40, 43, 45, 48, 49, 50, 51, 52, 55, 58], "spin_op_term": 2, "bool": [2, 3, 15, 19, 22, 23, 25, 55], "we": [2, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 18, 22, 24, 29, 31, 33, 34, 36, 37, 38, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 54, 55, 56, 58, 59, 60, 62, 64], "term": [2, 3, 8, 15, 22, 31, 33, 38, 43, 58], "binari": [2, 3, 6, 8, 9, 13, 31, 40, 56, 64], "symplect": 2, "form": [2, 3, 13, 15, 22, 27, 29, 34, 52, 64], "size": [2, 3, 6, 10, 15, 17, 18, 19, 20, 27, 32, 33, 34, 40, 41, 45, 47, 58], "nqubit": [2, 17, 18, 51, 55], "where": [2, 3, 5, 6, 8, 9, 10, 14, 20, 22, 23, 27, 29, 31, 38, 44, 47, 48, 50, 55, 56, 58], "first": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 15, 27, 31, 32, 33, 35, 43, 44, 45, 46, 48, 51, 52, 58, 62], "n": [2, 8, 9, 10, 15, 17, 18, 19, 22, 23, 26, 32, 33, 38, 40, 41, 43, 45, 46, 47, 49, 50, 51, 52, 56, 62], "element": [2, 3, 9, 10, 15, 27, 33, 50], "x": [2, 3, 5, 6, 7, 8, 9, 10, 11, 15, 17, 18, 19, 22, 23, 24, 26, 31, 32, 33, 34, 36, 38, 40, 41, 43, 44, 45, 46, 48, 49, 50, 51, 52, 56, 58, 62], "next": [2, 29, 45, 51, 52, 56], "z": [2, 3, 4, 6, 7, 8, 11, 15, 18, 22, 23, 32, 33, 38, 40, 43, 45, 47, 48, 49, 51, 56], "y": [2, 3, 5, 6, 9, 10, 15, 18, 22, 23, 32, 33, 38, 43, 45, 48, 51, 56, 58, 62], "site": [2, 62], "csr_spmatrix": 2, "tupl": [2, 3, 15, 19, 51], "doubl": [2, 3, 11, 15, 17, 18, 19, 22, 23, 26, 32, 33, 38, 43, 49, 51, 55, 56, 58], "size_t": [2, 15, 17, 19, 23, 25, 27, 33, 45, 55], "typedef": 2, "zero": [2, 3, 4, 6, 10, 20, 33, 38, 50], "spars": [2, 3], "function": [2, 3, 4, 5, 6, 7, 8, 10, 11, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 31, 32, 33, 34, 36, 37, 38, 40, 43, 45, 47, 48, 49, 51, 52, 55], "pair": [2, 3, 8, 19, 25, 29, 58], "const": [2, 15, 17, 18, 19, 22, 23, 25, 27, 32, 41, 49, 51, 54, 55], "termdata": 2, "constructor": [2, 3], "take": [2, 3, 5, 8, 9, 10, 13, 15, 17, 18, 19, 22, 23, 24, 25, 26, 27, 29, 31, 34, 37, 38, 41, 43, 44, 45, 46, 47, 48, 51, 52, 58, 62, 64], "coeffici": [2, 3, 50], "constant": [2, 5, 27, 29, 52], "id": [2, 10, 15, 25, 27, 31, 33, 56, 58], "coeff": 2, "qubit": [2, 3, 4, 5, 6, 7, 8, 9, 11, 15, 17, 18, 19, 20, 23, 25, 26, 29, 31, 32, 33, 34, 36, 37, 38, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 55, 58, 62], "construct": [2, 10, 15, 16, 17, 19, 27, 29, 33, 36, 37, 38, 45, 48, 52], "represent": [2, 3, 9, 15, 19, 29, 34, 52, 54, 55], "unordered_map": [2, 15], "_term": 2, "full": [2, 3, 13, 32, 33, 47, 50, 52, 54, 56, 58, 59, 64], "composit": 2, "spin": [2, 3, 4, 6, 7, 8, 15, 18, 23, 29, 32, 33, 38, 43, 47, 49, 51, 52], "op": [2, 3, 29, 43, 51, 52], "map": [2, 3, 7, 10, 15, 27, 52, 58], "individu": [2, 3, 20, 27], "bsf": 2, "from": [2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 15, 16, 18, 19, 20, 23, 27, 29, 32, 33, 34, 37, 38, 40, 43, 44, 47, 48, 49, 51, 52, 55, 58, 59, 62, 64], "data": [2, 6, 8, 9, 11, 12, 15, 19, 21, 23, 29, 33, 41, 43, 45, 46, 52, 55, 57, 58], "ident": [2, 3, 8, 10, 29, 43], "numqubit": [2, 3, 18], "given": [2, 3, 5, 8, 10, 15, 27, 31, 33, 34, 38, 40, 43, 51, 55], "o": [2, 9, 18, 31, 32, 33, 34, 41, 43, 44, 45, 46, 48, 51, 52, 56, 58, 60, 62], "copi": [2, 27, 29, 56, 58], "data_rep": 2, "serial": [2, 3], "encod": [2, 3, 8, 15, 23, 40, 45, 50, 55], "via": [2, 3, 5, 6, 7, 14, 15, 17, 20, 22, 24, 26, 27, 29, 31, 33, 34, 41, 43, 44, 45, 46, 47, 48, 50, 52, 54, 55, 56], "3": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 32, 33, 38, 46, 47, 48, 49, 51, 52, 55, 56, 58, 59, 62, 64], "real": [2, 3, 9, 37], "imaginari": [2, 3], "part": [2, 3, 15, 27, 52, 54, 56, 58], "append": [2, 3, 4, 6, 10, 11, 19, 31, 33, 40, 47], "arrai": [2, 3, 5, 7, 9, 10, 27, 29, 45, 47, 48, 52], "larg": [2, 3, 10, 22, 34, 37, 41, 50], "1d": [2, 3, 50], "end": [2, 3, 5, 7, 9, 10, 15, 27, 31, 33, 38, 44, 48, 50, 56, 58], "total": [2, 3, 6, 9, 32, 33, 38, 47, 58], "destructor": 2, "iter": [2, 3, 15, 27, 51], "begin": [2, 3, 5, 7, 9, 10, 11, 15, 27, 36, 45, 48, 50, 51], "return": [2, 3, 4, 5, 6, 8, 10, 11, 15, 17, 18, 19, 22, 27, 29, 32, 38, 40, 41, 43, 44, 45, 47, 48, 49, 51, 52, 54, 55, 56], "start": [2, 3, 4, 9, 12, 13, 22, 27, 31, 33, 38, 52, 54, 60, 64], "equal": [2, 3, 29, 33, 38, 50], "v": [2, 3, 8, 15, 18, 19, 24, 29, 32, 47, 52, 56], "noexcept": [2, 22], "add": [2, 3, 7, 8, 11, 13, 24, 34, 44, 45, 48, 52, 54, 55, 56, 58, 64], "subtract": [2, 3], "multipli": [2, 3], "true": [2, 3, 6, 10, 15, 19, 31, 47, 58, 62], "here": [2, 3, 5, 7, 9, 10, 11, 12, 13, 15, 17, 18, 19, 22, 24, 32, 33, 40, 41, 43, 45, 46, 48, 49, 51, 52, 54, 56, 58, 62, 64], "doe": [2, 3, 5, 9, 13, 15, 19, 27, 32, 33, 56, 58, 60, 62, 64], "consid": [2, 3, 5, 10, 18, 20, 29, 32, 33, 52, 58], "valu": [2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 19, 23, 27, 29, 32, 33, 34, 38, 40, 42, 47, 49, 50, 51, 52, 56, 62], "num_qubit": [2, 3, 23, 32, 51], "num_term": [2, 23], "get_coeffici": [2, 3, 23], "get": [2, 3, 7, 9, 10, 13, 15, 17, 18, 27, 31, 32, 33, 38, 43, 44, 47, 55, 56, 60, 62, 64], "throw": 2, "except": [2, 3], "get_raw_data": [2, 3], "is_ident": [2, 3, 23], "void": [2, 3, 15, 17, 18, 19, 22, 23, 25, 26, 27, 36, 38, 40, 44, 46, 49, 51, 52, 54, 55, 62], "dump": [2, 3, 7, 15, 18, 32, 33, 38, 40, 41, 44, 45, 47, 48, 49, 62], "string": [2, 3, 15, 17, 25, 38, 45, 52, 58], "standard": [2, 3, 14, 15, 16, 17, 19, 22, 28, 33, 36, 37, 41, 52, 54, 56, 58, 60], "out": [2, 3, 5, 6, 7, 8, 9, 13, 15, 20, 27, 29, 33, 34, 38, 39, 43, 44, 48, 50, 51, 55, 58, 59, 64], "to_str": [2, 3, 38], "printcoeffici": 2, "getdatarepresent": 2, "getdatatupl": 2, "fulli": [2, 6, 13, 14, 33, 45, 52, 56, 58, 64], "distribute_term": [2, 3], "numchunk": 2, "distribut": [2, 3, 7, 10, 13, 20, 32, 34, 38, 43, 45, 56, 64], "chunk": [2, 3, 20], "for_each_term": [2, 3, 23], "give": [2, 8, 10, 13, 15, 33, 48, 56, 58, 63, 64], "functor": 2, "reduct": 2, "captur": [2, 8, 19], "variabl": [2, 8, 19, 20, 31, 32, 33, 34, 39, 41, 44, 47, 48, 56, 58, 62], "for_each_pauli": [2, 3, 23], "thrown": [2, 3], "than": [2, 3, 8, 9, 22, 29, 32, 34, 38, 50, 56, 58], "user": [2, 3, 10, 15, 17, 18, 20, 21, 24, 27, 31, 32, 33, 34, 44, 47, 48, 52, 55, 56, 58], "should": [2, 3, 14, 15, 20, 22, 23, 25, 27, 31, 33, 34, 38, 40, 48, 55, 56, 58, 60, 62], "pass": [2, 3, 6, 12, 15, 19, 20, 23, 27, 31, 33, 41, 44, 46, 48, 51, 52, 53, 58], "index": [2, 3, 23, 25, 27, 29, 33, 40, 55], "complex_matrix": 2, "to_matrix": [2, 3], "dens": 2, "to_sparse_matrix": [2, 3], "row": [2, 3], "col": 2, "static": [2, 3, 15, 22, 27, 52, 56], "random": [2, 3, 8, 10, 11, 33, 34, 40, 47, 49, 51], "nterm": 2, "unsign": 2, "int": [2, 3, 5, 6, 7, 8, 9, 10, 15, 18, 19, 26, 27, 32, 33, 36, 38, 40, 41, 43, 44, 45, 46, 47, 48, 49, 51, 52, 55, 56, 62], "seed": [2, 3, 8, 10, 11, 34, 47, 49], "random_devic": 2, "act": [2, 4, 5, 8, 29, 50], "specifi": [2, 3, 6, 8, 9, 10, 15, 18, 19, 20, 22, 23, 24, 25, 27, 31, 32, 33, 34, 38, 40, 44, 45, 47, 48, 49, 52, 55, 56, 58], "overrid": [2, 15, 34, 54, 56], "repeat": [2, 10, 15, 49, 51], "from_word": [2, 3], "pauliword": 2, "input": [2, 3, 5, 6, 9, 15, 17, 18, 19, 26, 27, 33, 38, 43, 47, 51], "word": [2, 3, 48], "g": [2, 3, 8, 14, 15, 16, 19, 20, 21, 22, 23, 29, 31, 32, 33, 44, 52, 55, 56, 58, 59, 62], "xyx": [2, 3], "3rd": 2, "second": [2, 3, 5, 8, 10, 27, 32, 38, 51], "typenam": [2, 15, 17, 18, 19, 22, 26, 27], "qualifiedspinop": 2, "struct": [2, 15, 17, 18, 19, 22, 26, 32, 41, 43, 44, 45, 46, 49, 51, 52, 54], "constexpr": [2, 17, 27, 32], "dyn": [2, 27, 41, 48], "level": [2, 14, 15, 20, 22, 32, 34, 52, 55, 59], "qudit": [2, 16, 20, 22], "d": [2, 3, 18, 19, 20, 27, 31, 44, 48, 51, 58], "system": [2, 3, 11, 15, 20, 25, 27, 29, 33, 34, 37, 38, 43, 47, 48, 50, 51, 54, 56, 59, 60, 62], "inlin": [2, 15, 52], "new": [2, 3, 12, 13, 15, 17, 29, 37, 52, 53, 56, 58, 62, 64], "uniqu": [2, 3, 8, 10, 15, 20, 22, 27, 33, 60], "enable_if_t": 2, "qreg": [2, 3, 8, 32], "A": [2, 3, 5, 8, 10, 11, 15, 18, 19, 22, 29, 31, 38, 44, 46, 47, 50, 54, 55, 56, 58], "contain": [2, 3, 8, 10, 12, 13, 15, 20, 22, 25, 29, 32, 34, 37, 38, 43, 44, 49, 51, 52, 55, 56, 62, 64], "dynam": [2, 3, 17, 19, 20, 27, 36, 37, 41, 52], "time": [2, 3, 7, 8, 9, 10, 14, 15, 18, 20, 27, 28, 32, 34, 38, 41, 45, 47, 50, 52, 56, 58, 62], "By": [2, 15, 22, 31, 32, 33, 34, 38, 44], "regist": [2, 3, 11, 15, 18, 20, 27, 31, 33, 40, 45, 46, 48, 52, 55], "like": [2, 3, 5, 8, 9, 11, 15, 19, 27, 33, 38, 44, 45, 47, 50, 51, 52, 56, 58, 59, 62], "value_typ": 2, "indic": [2, 3, 19, 22, 23, 27, 48, 55], "underli": [2, 3, 15, 25, 27, 31, 33, 55], "auto": [2, 15, 17, 18, 19, 23, 26, 27, 32, 33, 36, 38, 40, 41, 43, 44, 45, 46, 48, 49, 51, 52, 54, 62], "interfac": [2, 27, 34, 55, 56, 58], "idx": [2, 3, 6, 27, 33], "qspan": 2, "front": [2, 18, 26, 27, 46], "count": [2, 3, 8, 10, 15, 17, 18, 27, 32, 33, 38, 41, 44, 45, 46, 47, 48, 49, 51, 52, 55], "back": [2, 18, 27, 29, 44, 45, 48, 58], "last": [2, 10, 18, 27, 33, 43, 51], "slice": [2, 3, 27, 51], "clear": [2, 3, 15, 27, 55], "destroi": [2, 27], "postcondit": [2, 27], "own": [2, 3, 7, 10, 20, 25, 27, 34, 51, 52, 55, 56, 58], "semant": [2, 3, 14, 19, 20, 21, 24, 26, 27, 29, 52], "held": 2, "explicit": [2, 15, 26, 34, 44], "determin": [2, 5, 38, 60], "If": [2, 3, 5, 6, 9, 10, 15, 29, 32, 34, 38, 40, 47, 50, 51, 56, 58, 62], "check": [2, 13, 31, 32, 44, 50, 56, 58, 64], "norm": [2, 10], "pre": [2, 13, 15, 31, 34, 43, 44, 46, 56, 64], "exist": [2, 3, 13, 14, 15, 20, 21, 38, 50, 54, 56, 58, 62, 64], "could": [2, 32, 36, 50, 51, 56], "from_data": [2, 3], "retriev": [2, 3, 15, 44], "get_stat": [2, 3, 9], "delet": [2, 27, 58], "cannot": [2, 9, 18, 19, 27, 29, 50, 58], "move": [2, 6, 27, 54, 56, 58, 62], "assign": [2, 8, 25, 33, 34, 56], "qview": [2, 18, 19, 26, 40], "observe_result": [2, 3, 15, 43], "encapsul": [2, 6, 15, 27, 33], "observ": [2, 3, 4, 6, 7, 8, 10, 11, 18, 31, 33, 34, 35, 37, 41, 43, 45, 46, 47, 49, 50, 51, 55, 62], "call": [2, 3, 4, 5, 6, 7, 8, 11, 17, 18, 19, 22, 26, 34, 37, 38, 44, 45, 46, 47, 49, 50, 51, 52, 55, 58], "includ": [2, 3, 8, 13, 15, 18, 27, 32, 36, 37, 38, 40, 41, 43, 44, 45, 46, 48, 49, 51, 52, 54, 55, 56, 58, 62, 64], "measur": [2, 3, 5, 6, 7, 9, 10, 15, 16, 18, 19, 20, 22, 29, 33, 34, 36, 37, 38, 40, 44, 45, 48, 51, 52, 55, 62], "execut": [2, 9, 13, 14, 15, 17, 19, 20, 25, 26, 31, 33, 34, 37, 38, 39, 40, 41, 43, 44, 45, 47, 52, 55, 58, 59, 60, 62, 64], "ansatz": [2, 4, 8, 11, 15, 18, 32, 33, 43, 49, 51], "circuit": [2, 3, 5, 6, 8, 9, 10, 14, 15, 19, 20, 23, 24, 28, 29, 31, 32, 33, 34, 37, 38, 43, 49, 51, 52, 54], "global": [2, 3, 8, 15, 19, 32, 38], "expect": [2, 3, 4, 6, 7, 8, 10, 11, 12, 15, 32, 33, 34, 38, 42, 47, 48, 49, 51, 56, 58, 62], "h": [2, 3, 5, 8, 9, 10, 11, 15, 17, 18, 22, 23, 24, 26, 27, 29, 31, 32, 33, 36, 38, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 54, 55, 56, 58, 62], "precomput": 2, "psi": [2, 4, 5, 15, 18, 38, 50], "sample_result": [2, 3, 15, 44], "wa": [2, 3, 5, 15, 33, 45, 52, 56, 59, 62], "shot": [2, 3, 10, 15, 18, 31, 38, 45, 50, 55], "base": [2, 3, 6, 9, 10, 13, 14, 15, 17, 21, 22, 27, 32, 33, 34, 38, 40, 47, 51, 52, 55, 56, 58, 60, 64], "raw_data": [2, 15], "raw": [2, 3], "convers": [2, 15], "simpli": [2, 50, 58, 62], "ignor": [2, 34], "fine": [2, 15, 41, 45, 46, 50], "grain": [2, 15, 41, 45, 46], "explicitli": [2, 29, 31, 34, 52, 60], "request": [2, 15, 32, 33, 34, 58], "oppos": 2, "observe_data": 2, "spinoptyp": [2, 15], "sub": [2, 3, 14, 15, 18, 19, 27, 28, 58], "id_coeffici": [2, 15], "executioncontext": 2, "abstract": [2, 14, 15, 17, 22, 23, 25, 27, 33, 37], "how": [2, 4, 8, 9, 10, 11, 13, 15, 17, 22, 32, 33, 34, 37, 38, 42, 44, 45, 46, 47, 48, 49, 50, 51, 52, 55, 56, 58, 59, 62, 64], "name": [2, 3, 8, 15, 17, 22, 25, 32, 43, 47, 50, 52, 55, 56, 58, 59, 62], "shots_": 2, "member": [2, 3, 8, 19, 51], "basic": [2, 4, 12, 32, 58, 62], "sampl": [2, 3, 5, 7, 8, 10, 17, 31, 32, 33, 34, 35, 37, 40, 41, 44, 45, 46, 47, 48, 49, 50, 55, 58, 62], "option": [2, 3, 5, 10, 11, 15, 17, 22, 25, 31, 32, 33, 38, 44, 46, 51, 55, 56, 58, 60], "result": [2, 3, 4, 5, 6, 7, 10, 11, 15, 16, 17, 18, 20, 29, 31, 32, 33, 34, 38, 40, 41, 43, 44, 45, 46, 47, 48, 50, 52, 55, 58, 62], "invoc": [2, 3, 17, 19, 25, 27, 33, 34, 55], "expectationvalu": 2, "nullopt": 2, "optimization_result": [2, 15], "optresult": 2, "optim": [2, 4, 6, 8, 10, 12, 14, 24, 27, 29, 32, 34, 42, 51, 52, 54, 56, 58], "hasconditionalsonmeasureresult": 2, "fals": [2, 3, 56, 58], "being": [2, 3, 4, 7, 14, 15, 29, 34, 44, 48], "ha": [2, 3, 5, 7, 8, 10, 15, 22, 29, 31, 32, 34, 37, 38, 40, 44, 47, 48, 50, 51, 56, 58], "statement": [2, 5, 15, 16, 37], "noise_model": [2, 3, 7, 10, 48], "noisemodel": [2, 3, 7, 10, 48], "nullptr": 2, "current": [2, 3, 13, 15, 25, 31, 33, 34, 40, 55, 58, 64], "canhandleobserv": 2, "flag": [2, 19, 31, 33, 34, 41, 52, 54, 58], "handl": [2, 3, 31, 32, 33, 34, 40, 41, 44, 55, 58], "task": [2, 15, 23, 33, 38, 52, 55], "under": [2, 10, 31, 54, 55, 56, 58], "asyncexec": 2, "occur": [2, 3, 10, 15, 20, 44, 48, 50, 58], "asynchron": [2, 3, 15, 25, 33, 38, 44, 47], "detail": [2, 8, 13, 14, 20, 31, 32, 55, 56, 58, 62, 64], "futur": [2, 3, 15, 31, 33, 34, 44, 48, 56, 58], "futureresult": 2, "store": [2, 3, 20, 27, 33, 38, 44, 47, 50, 52], "unique_ptr": 2, "simulationst": 2, "pointer": [2, 3], "simul": [2, 4, 10, 12, 13, 14, 15, 30, 31, 33, 35, 37, 38, 40, 42, 44, 45, 47, 52, 53, 56, 62, 64], "amplitudemap": 2, "amplitud": [2, 3, 9, 47, 48, 50], "overlapcomputest": 2, "overlap": [2, 3], "overlapresult": 2, "trace": [2, 3, 7, 32], "kerneltrac": 2, "run": [2, 3, 5, 6, 10, 12, 14, 15, 18, 31, 32, 33, 34, 35, 37, 41, 43, 44, 45, 46, 47, 48, 51, 52, 55, 56, 58, 59, 62], "tracer": 2, "persist": [2, 15, 20, 32, 58], "resourc": [2, 25, 32, 33, 34, 38, 51, 56, 58], "kernelnam": [2, 3], "batchiter": 2, "batch": [2, 20], "observe_n": 2, "sample_n": 2, "totaliter": 2, "registernam": [2, 15], "mid": [2, 3, 34], "mode": [2, 3, 20, 52, 56], "keep": [2, 10, 15, 34, 51], "track": [2, 15, 50, 51], "reorderidx": 2, "inform": [2, 3, 5, 13, 15, 20, 22, 25, 27, 31, 32, 33, 34, 38, 44, 47, 50, 52, 56, 58, 60, 61, 62, 64], "reorder": 2, "after": [2, 3, 5, 15, 38, 44, 48, 52, 56, 58], "empti": [2, 3, 17, 23, 48, 58], "mean": [2, 9, 22, 29, 44, 47, 58, 62], "job": [2, 8, 15, 32, 33, 44, 58], "identifi": [2, 8, 40, 56, 58], "qpu": [2, 3, 12, 13, 14, 15, 20, 25, 31, 33, 37, 38, 43, 44, 47, 55, 62, 64], "extra": [2, 22, 29, 31, 40, 48, 51], "configur": [2, 11, 25, 31, 32, 33, 34, 44, 47, 52, 55, 56, 58, 59, 62], "need": [2, 7, 8, 9, 10, 29, 31, 32, 33, 34, 38, 43, 44, 47, 50, 51, 55, 56, 58, 59], "later": [2, 5, 15, 19, 33, 44, 56, 58], "server": [2, 31, 33, 44, 58], "file": [2, 15, 22, 31, 32, 33, 38, 39, 44, 47, 51, 52, 54, 55, 56, 58, 59, 60, 62], "read": [2, 3, 8, 44, 51], "wrap": [2, 15, 17, 29], "t": [2, 3, 5, 9, 13, 15, 18, 19, 22, 23, 32, 45, 50, 56, 58, 64], "case": [2, 3, 5, 7, 8, 9, 10, 15, 29, 36, 43, 48, 56, 58, 60], "must": [2, 3, 10, 14, 15, 19, 21, 24, 27, 29, 31, 34, 44, 48, 50, 51, 54, 55, 56, 58, 62], "some": [2, 6, 9, 15, 29, 32, 33, 34, 50, 52, 54, 55, 56, 58, 59, 62], "point": [2, 3, 9, 15, 19, 22, 33, 34, 52, 55, 56, 58], "within": [2, 3, 11, 15, 19, 21, 23, 27, 33, 34, 37, 38, 45, 48, 50, 54, 56, 58, 59, 62], "same": [2, 3, 5, 8, 9, 10, 15, 29, 31, 33, 38, 44, 46, 47, 48, 52, 55, 56, 58], "runtim": [2, 14, 15, 17, 20, 31, 32, 33, 34, 41, 43, 52, 55, 58, 60], "_job": 2, "qpunamein": 2, "config": [2, 55, 56, 58, 62], "info": [2, 32, 39, 52], "requir": [2, 3, 5, 6, 9, 15, 19, 21, 22, 24, 26, 27, 29, 31, 32, 33, 34, 40, 44, 47, 50, 56, 59, 62], "abl": [2, 15, 31, 32, 33, 38, 40, 50, 58, 62], "date": 2, "even": [2, 5, 8, 13, 34, 51, 56, 58, 64], "async_result": [2, 44], "face": [2, 21], "which": [2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 15, 17, 20, 23, 27, 29, 31, 33, 34, 43, 45, 47, 50, 51, 52, 55, 56, 58, 59, 64], "itself": [2, 26, 29, 33, 56, 58], "collect": [2, 3, 38], "pertin": [2, 15, 21, 26, 27], "remot": [2, 3, 15, 20, 30, 32, 39, 47], "rest": [2, 3, 14, 31, 33, 40, 56, 58], "wait": [2, 3, 32, 33, 38, 44], "until": [2, 3, 38, 44], "readi": [2, 11, 44, 48, 58], "executionresult": 2, "bit": [2, 5, 7, 10, 15, 18, 20, 27, 29, 33, 40, 41, 45, 46, 48, 50, 55, 60], "correspond": [2, 3, 4, 8, 15, 40, 45, 49, 56, 58], "well": [2, 3, 10, 13, 15, 18, 20, 34, 40, 55, 56, 58, 59, 64], "integ": [2, 3, 8, 19, 25, 33, 34, 38, 47], "1st": [2, 7], "bitstr": [2, 3, 8, 15, 40], "m": [2, 10, 18, 23, 33, 34, 47, 52, 56, 58, 62], "tripl": [2, 52], "long": [2, 15, 38, 41, 56, 58, 62], "length": [2, 10, 40, 51], "deseri": 2, "discuss": [2, 54], "brief": [2, 48, 55], "countsdictionari": [2, 15], "assum": [2, 3, 8, 10, 20, 22, 27, 33, 38, 44, 55, 56, 58, 60], "expval": [2, 15], "other": [2, 3, 8, 9, 10, 11, 12, 14, 17, 19, 22, 27, 29, 32, 33, 34, 36, 37, 38, 48, 56, 58, 62], "appendresult": 2, "globalregisternam": [2, 15], "classic": [2, 5, 6, 8, 9, 11, 14, 16, 19, 20, 22, 23, 27, 29, 33, 37, 38, 44, 50, 51, 52, 55, 56, 59], "sequentialdata": 2, "sequenti": 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"subset": [2, 3, 6, 15, 19, 27, 29], "rvalu": 2, "refer": [2, 8, 12, 15, 19, 20, 27, 29, 31, 32, 33, 44, 49, 56, 58], "newbitstr": 2, "oldbitstr": 2, "process": [2, 3, 9, 14, 15, 20, 25, 31, 32, 33, 34, 37, 44, 47, 50, 52], "rang": [2, 4, 6, 8, 9, 10, 11, 18, 19, 26, 27, 32, 33, 36, 40, 41, 47, 49, 58, 62], "const_iter": 2, "cbegin": 2, "cend": 2, "has_even_par": 2, "pariti": 2, "extens": [2, 14, 15, 21, 27, 50, 55, 58, 60, 62], "concret": [2, 3, 8, 15, 38, 43], "describ": [2, 3, 7, 10, 25, 27, 31, 46, 50, 55, 56, 58], "effici": [2, 34], "manner": [2, 15, 55], "client": [2, 15, 32, 56], "remain": [2, 3, 26, 44, 48, 56], "gpu": [2, 3, 4, 5, 6, 9, 12, 13, 14, 20, 33, 35, 37, 40, 41, 42, 55, 56, 60, 62, 64], "devic": [2, 3, 6, 7, 10, 15, 18, 19, 22, 26, 31, 32, 33, 38, 44, 51, 52, 55, 58], "cpu": [2, 6, 7, 8, 9, 10, 12, 30, 32, 33, 37, 38, 40, 41, 47, 48, 52, 56, 58, 62], "memori": [2, 6, 16, 19, 20, 27, 29, 32, 33, 34, 37, 40, 47, 52, 58], "primari": [2, 3, 15, 27, 55], "goal": [2, 8], "minim": [2, 8, 10, 11, 12, 43, 51, 56, 58, 62], "transfer": [2, 34], "subclass": [2, 15, 55], "cusvstat": 2, "scalartyp": 2, "remotesimulationst": 2, "nvqir": [2, 12, 52, 53, 55], "mpssimulationst": 2, "tensornetsimulationst": 2, "made": [2, 8, 38, 48, 58], "up": [2, 3, 5, 8, 9, 17, 23, 34, 37, 43, 47, 48, 49, 50, 51, 52, 55, 58], "extent": [2, 3, 34], "enum": 2, "precis": [2, 3, 9, 11, 32, 50], "enumer": [2, 3, 10, 18, 40], "fp32": [2, 3, 32, 34], "fp64": [2, 3, 11, 30, 32, 34], "simulation_precis": 2, "possibl": [2, 5, 10, 14, 29, 50, 58, 60], "float": [2, 3, 4, 5, 6, 8, 10, 11, 15, 18, 19, 22, 26, 32, 33, 34, 43, 49, 51, 55], "tensorstatedata": 2, "dimens": [2, 3, 4, 8, 15, 49, 51], "state_data": 2, "variant": [2, 22], "differ": [2, 3, 5, 6, 10, 29, 31, 32, 33, 37, 38, 44, 47, 48, 56, 58], "custatevec": [2, 32, 33, 34, 55], "attempt": 2, "care": [2, 15], "taken": 2, "ensur": [2, 52, 54, 56, 58], "comparison": [2, 5], "compat": [2, 3, 21, 34, 56], "registeredtyp": 2, "declar": [2, 15, 19, 20, 22, 52, 55], "themselv": [2, 31, 36], "plugin": [2, 13, 54, 56, 58, 64], "myinterfac": 2, "column": [2, 3], "upon": [2, 4, 29, 38, 44, 50, 58], "destruct": 2, "rawdata": 2, "intern": [2, 3, 33], "modifi": [2, 18, 19, 22, 26, 29, 51, 58], "correct": [2, 9, 10, 18, 37, 44, 56, 58], "j": [2, 3, 8, 9, 10, 18, 19, 23, 47, 49, 56], "minimal_eigenvalu": [2, 3], "eigenvalu": [2, 3, 8, 34, 51], "thei": [2, 3, 4, 8, 19, 27, 29, 37, 50, 51, 56, 58], "set_zero": 2, "print": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 18, 27, 32, 33, 38, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 56, 62], "seen": [2, 5], "manag": [2, 32, 33, 56, 58], "instruct": [2, 20, 22, 24, 29, 31, 32, 34, 44, 45, 51, 52, 56, 58, 62], "control": [2, 3, 8, 9, 12, 14, 17, 18, 19, 20, 22, 24, 26, 27, 28, 29, 31, 33, 36, 37, 40, 42, 45, 48, 50, 51, 52, 55, 58], "flow": [2, 6, 14, 15, 19, 28, 37, 52], "path": [2, 3, 31, 52, 55, 56, 58], "thu": [2, 32, 33, 50, 52], "might": [2, 17, 22, 29, 32, 33, 46], "produc": [2, 3, 8, 15, 18, 23, 24, 29, 36, 38, 45, 52, 55], "elementtyp": 2, "is_integral_v": 2, "is_signed_v": 2, "increment": [2, 47], "exclus": [2, 5], "stop": [2, 38, 58], "step": [2, 5, 6, 9, 18, 52, 56, 60, 62], "reach": [2, 47], "quantumkernel": [2, 15, 26], "arg": [2, 3, 6, 9, 10, 15, 17, 22, 26, 33, 38, 52, 58], "is_invocable_v": 2, "draw": [2, 3, 4, 5, 7, 9, 10, 38, 40], "utf": [2, 3], "8": [2, 3, 6, 8, 9, 10, 11, 15, 18, 19, 20, 31, 32, 33, 34, 47, 48, 49, 51, 52, 56, 58, 62], "usag": [2, 33, 47], "iostream": [2, 32, 36, 38, 40], "bell_pair": [2, 3], "__qpu__": [2, 15, 18, 19, 26, 32, 33, 36, 38, 40, 41, 43, 44, 45, 46, 48, 49, 51, 52, 62], "mz": [2, 3, 5, 10, 15, 17, 18, 29, 31, 32, 33, 36, 38, 40, 41, 44, 45, 46, 47, 48, 50, 52, 62], "cout": [2, 32, 38, 40], "q0": [2, 3, 4, 5, 7, 9, 29], "q1": [2, 3, 4, 5, 7, 9, 29], "ry": [2, 3, 4, 6, 15, 18, 19, 22, 24, 32, 33, 43, 51], "59": [2, 3, 8, 15, 18, 33, 43], "callabl": [2, 3, 14, 15, 17, 18, 19, 36, 43, 45], "trivial": [2, 15, 33, 41, 43, 59], "signatur": [2, 3, 15, 17, 19, 46, 52], "evalu": [2, 3, 15, 32, 34, 43], "without": [2, 3, 15, 19, 26, 31, 34, 40, 44, 48, 56, 58, 62], "regard": 2, "depth": [2, 63], "etc": [2, 19, 20, 33, 37, 51, 55, 56, 58, 62], "kraus_op": 2, "krau": [2, 7, 48], "initializer_list": 2, "initlist": 2, "adjoint": [2, 17, 18, 22, 26, 29, 52], "flatten": 2, "nrow": [2, 6], "ncol": 2, "note": [2, 8, 10, 18, 20, 29, 32, 33, 38, 40, 44, 48, 50, 51, 52, 56, 58, 60], "kraus_channel": [2, 48], "channel": [2, 3, 7, 10, 48, 58], "action": [2, 15, 18, 19, 58], "matric": 2, "amplitude_damping_channel": [2, 48], "bit_flip_channel": [2, 48], "depolarization_channel": [2, 7, 48], "phase_flip_channel": [2, 48], "inputlist": 2, "lvalu": 2, "make": [2, 3, 5, 9, 15, 33, 34, 48, 49, 50, 51, 52, 55, 56, 58, 60, 62], "get_op": 2, "push_back": [2, 19, 40], "autom": [2, 55], "creation": [2, 14, 28, 51, 55], "damp": [2, 48], "error": [2, 7, 12, 22, 29, 31, 32, 34, 37, 44, 48, 56, 58], "phase": [2, 3, 9, 22, 48], "depolar": 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52, 56, 58, 59, 62, 64], "howev": [1, 9, 10, 29, 31, 33, 62], "behavior": [1, 2], "chang": [1, 2, 9, 13, 15, 19, 38, 58, 62, 64], "instead": [1, 2, 7, 21, 24, 34, 38, 56, 58], "when": [1, 2, 3, 8, 10, 15, 20, 27, 29, 32, 33, 34, 38, 43, 44, 45, 48, 52, 55, 56, 58, 62], "negat": [1, 2, 3, 22, 26, 27], "polar": [1, 22, 26], "syntax": [1, 13, 14, 19, 20, 22, 24, 31, 44, 60, 64], "preced": [1, 22, 31], "01": [1, 5, 7, 50], "10": [1, 6, 7, 8, 10, 15, 18, 19, 38, 45, 47, 50, 51, 52, 62], "notat": [1, 50], "context": [1, 2, 6, 20, 33, 34, 55], "valid": [1, 2, 3, 12, 19, 31, 34, 44, 56, 58], "either": [1, 5, 6, 8, 20, 31, 33, 34, 44, 50, 51, 56, 58, 62], "similarli": [1, 5, 39, 50], "condition": 1, "respect": [1, 2, 3, 8, 15, 31, 38, 43, 47, 56, 58, 62], "e": [1, 2, 3, 5, 8, 9, 10, 11, 14, 15, 16, 18, 19, 20, 21, 22, 23, 29, 31, 32, 33, 34, 41, 44, 52, 55, 56, 58, 62], "project": [1, 34, 55, 58, 59], "onto": [1, 50], "eigenvector": [1, 2], "non": [1, 2, 3, 10, 15, 19, 20, 27, 33, 34, 38, 43, 45], "linear": [1, 6, 7, 9, 11, 32, 38, 50], "avail": [1, 2, 3, 12, 13, 14, 15, 19, 20, 22, 25, 26, 27, 28, 30, 31, 32, 33, 34, 37, 38, 40, 42, 43, 52, 56, 58, 62, 64], "class": [2, 3, 6, 15, 17, 19, 23, 25, 27, 33, 34, 51, 54, 55], "spin_op": [2, 3, 15, 18, 22, 32, 33, 38, 43, 49, 51], "repres": [2, 3, 5, 7, 8, 9, 15, 29, 34, 50, 51, 52], "gener": [2, 3, 8, 9, 10, 11, 15, 17, 18, 19, 20, 22, 23, 26, 28, 31, 32, 37, 40, 41, 43, 44, 45, 46, 50, 52, 54, 58], "sum": [2, 3, 6, 8, 10, 23, 27, 50], "tensor": [2, 3, 6, 10, 13, 23, 32, 41, 55, 64], "product": [2, 3, 10, 12, 13, 23, 32, 40, 62, 64], "expos": [2, 3, 15, 17, 23, 25, 29, 33, 55], "typic": [2, 15, 27, 32, 36, 37, 43, 52, 59, 60], "algebra": [2, 23, 43, 50], "programm": [2, 3, 15, 16, 17, 19, 20, 22, 24, 25, 27, 31, 33, 45], "primit": [2, 8, 14, 17, 20, 23, 27, 28, 33, 37], "them": [2, 10, 13, 29, 36, 50, 52, 56, 58, 60, 62, 64], "compos": [2, 3, 6, 8, 19, 20, 52], "larger": [2, 3, 8, 32, 40, 41], "complex": [2, 3, 7, 23, 29, 33, 38, 47, 48, 50, 51], "thereof": [2, 20, 23], "public": [2, 15, 17, 23, 25, 27, 33, 40, 51, 54, 55, 58], "type": [2, 4, 5, 8, 9, 10, 14, 15, 17, 19, 20, 22, 23, 28, 31, 33, 34, 36, 40, 43, 45, 48, 49, 50, 51, 52, 55, 58], "spin_op_term": 2, "bool": [2, 3, 15, 19, 22, 23, 25, 55], "we": [2, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 18, 22, 24, 29, 31, 33, 34, 36, 37, 38, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 54, 55, 56, 58, 59, 60, 62, 64], "term": [2, 3, 8, 15, 22, 31, 33, 38, 43, 58], "binari": [2, 3, 6, 8, 9, 13, 31, 40, 56, 64], "symplect": 2, "form": [2, 3, 13, 15, 22, 27, 29, 34, 52, 64], "size": [2, 3, 6, 10, 15, 17, 18, 19, 20, 27, 32, 33, 34, 40, 41, 45, 47, 58], "nqubit": [2, 17, 18, 51, 55], "where": [2, 3, 5, 6, 8, 9, 10, 14, 20, 22, 23, 27, 29, 31, 38, 44, 47, 48, 50, 55, 56, 58], "first": [2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 15, 27, 31, 32, 33, 35, 43, 44, 45, 46, 48, 51, 52, 58, 62], "n": [2, 8, 9, 10, 15, 17, 18, 19, 22, 23, 26, 32, 33, 38, 40, 41, 43, 45, 46, 47, 49, 50, 51, 52, 56, 62], "element": [2, 3, 9, 10, 15, 27, 33, 50], "x": [2, 3, 5, 6, 7, 8, 9, 10, 11, 15, 17, 18, 19, 22, 23, 24, 26, 31, 32, 33, 34, 36, 38, 40, 41, 43, 44, 45, 46, 48, 49, 50, 51, 52, 56, 58, 62], "next": [2, 29, 45, 51, 52, 56], "z": [2, 3, 4, 6, 7, 8, 11, 15, 18, 22, 23, 32, 33, 38, 40, 43, 45, 47, 48, 49, 51, 56], "y": [2, 3, 5, 6, 9, 10, 15, 18, 22, 23, 32, 33, 38, 43, 45, 48, 51, 56, 58, 62], "site": [2, 62], "csr_spmatrix": 2, "tupl": [2, 3, 15, 19, 51], "doubl": [2, 3, 11, 15, 17, 18, 19, 22, 23, 26, 32, 33, 38, 43, 49, 51, 55, 56, 58], "size_t": [2, 15, 17, 19, 23, 25, 27, 33, 45, 55], "typedef": 2, "zero": [2, 3, 4, 6, 10, 20, 33, 38, 50], "spars": [2, 3], "function": [2, 3, 4, 5, 6, 7, 8, 10, 11, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 31, 32, 33, 34, 36, 37, 38, 40, 43, 45, 47, 48, 49, 51, 52, 55], "pair": [2, 3, 8, 19, 25, 29, 58], "const": [2, 15, 17, 18, 19, 22, 23, 25, 27, 32, 41, 49, 51, 54, 55], "termdata": 2, "constructor": [2, 3], "take": [2, 3, 5, 8, 9, 10, 13, 15, 17, 18, 19, 22, 23, 24, 25, 26, 27, 29, 31, 34, 37, 38, 41, 43, 44, 45, 46, 47, 48, 51, 52, 58, 62, 64], "coeffici": [2, 3, 50], "constant": [2, 5, 27, 29, 52], "id": [2, 10, 15, 25, 27, 31, 33, 56, 58], "coeff": 2, "qubit": [2, 3, 4, 5, 6, 7, 8, 9, 11, 15, 17, 18, 19, 20, 23, 25, 26, 29, 31, 32, 33, 34, 36, 37, 38, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 55, 58, 62], "construct": [2, 10, 15, 16, 17, 19, 27, 29, 33, 36, 37, 38, 45, 48, 52], "represent": [2, 3, 9, 15, 19, 29, 34, 52, 54, 55], "unordered_map": [2, 15], "_term": 2, "full": [2, 3, 13, 32, 33, 47, 50, 52, 54, 56, 58, 59, 64], "composit": 2, "spin": [2, 3, 4, 6, 7, 8, 15, 18, 23, 29, 32, 33, 38, 43, 47, 49, 51, 52], "op": [2, 3, 29, 43, 51, 52], "map": [2, 3, 7, 10, 15, 27, 52, 58], "individu": [2, 3, 20, 27], "bsf": 2, "from": [2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 15, 16, 18, 19, 20, 23, 27, 29, 32, 33, 34, 37, 38, 40, 43, 44, 47, 48, 49, 51, 52, 55, 58, 59, 62, 64], "data": [2, 6, 8, 9, 11, 12, 15, 19, 21, 23, 29, 33, 41, 43, 45, 46, 52, 55, 57, 58], "ident": [2, 3, 8, 10, 29, 43], "numqubit": [2, 3, 18], "given": [2, 3, 5, 8, 10, 15, 27, 31, 33, 34, 38, 40, 43, 51, 55], "o": [2, 9, 18, 31, 32, 33, 34, 41, 43, 44, 45, 46, 48, 51, 52, 56, 58, 60, 62], "copi": [2, 27, 29, 56, 58], "data_rep": 2, "serial": [2, 3], "encod": [2, 3, 8, 15, 23, 40, 45, 50, 55], "via": [2, 3, 5, 6, 7, 14, 15, 17, 20, 22, 24, 26, 27, 29, 31, 33, 34, 41, 43, 44, 45, 46, 47, 48, 50, 52, 54, 55, 56], "3": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 32, 33, 38, 46, 47, 48, 49, 51, 52, 55, 56, 58, 59, 62, 64], "real": [2, 3, 9, 37], "imaginari": [2, 3], "part": [2, 3, 15, 27, 52, 54, 56, 58], "append": [2, 3, 4, 6, 10, 11, 19, 31, 33, 40, 47], "arrai": [2, 3, 5, 7, 9, 10, 27, 29, 45, 47, 48, 52], "larg": [2, 3, 10, 22, 34, 37, 41, 50], "1d": [2, 3, 50], "end": [2, 3, 5, 7, 9, 10, 15, 27, 31, 33, 38, 44, 48, 50, 56, 58], "total": [2, 3, 6, 9, 32, 33, 38, 47, 58], "destructor": 2, "iter": [2, 3, 15, 27, 51], "begin": [2, 3, 5, 7, 9, 10, 11, 15, 27, 36, 45, 48, 50, 51], "return": [2, 3, 4, 5, 6, 8, 10, 11, 15, 17, 18, 19, 22, 27, 29, 32, 38, 40, 41, 43, 44, 45, 47, 48, 49, 51, 52, 54, 55, 56], "start": [2, 3, 4, 9, 12, 13, 22, 27, 31, 33, 38, 52, 54, 60, 64], "equal": [2, 3, 29, 33, 38, 50], "v": [2, 3, 8, 15, 18, 19, 24, 29, 32, 47, 52, 56], "noexcept": [2, 22], "add": [2, 3, 7, 8, 11, 13, 24, 34, 44, 45, 48, 52, 54, 55, 56, 58, 64], "subtract": [2, 3], "multipli": [2, 3], "true": [2, 3, 6, 10, 15, 19, 31, 47, 58, 62], "here": [2, 3, 5, 7, 9, 10, 11, 12, 13, 15, 17, 18, 19, 22, 24, 32, 33, 40, 41, 43, 45, 46, 48, 49, 51, 52, 54, 56, 58, 62, 64], "doe": [2, 3, 5, 9, 13, 15, 19, 27, 32, 33, 56, 58, 60, 62, 64], "consid": [2, 3, 5, 10, 18, 20, 29, 32, 33, 52, 58], "valu": [2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 19, 23, 27, 29, 32, 33, 34, 38, 40, 42, 47, 49, 50, 51, 52, 56, 62], "num_qubit": [2, 3, 23, 32, 51], "num_term": [2, 23], "get_coeffici": [2, 3, 23], "get": [2, 3, 7, 9, 10, 13, 15, 17, 18, 27, 31, 32, 33, 38, 43, 44, 47, 55, 56, 60, 62, 64], "throw": 2, "except": [2, 3], "get_raw_data": [2, 3], "is_ident": [2, 3, 23], "void": [2, 3, 15, 17, 18, 19, 22, 23, 25, 26, 27, 36, 38, 40, 44, 46, 49, 51, 52, 54, 55, 62], "dump": [2, 3, 7, 15, 18, 32, 33, 38, 40, 41, 44, 45, 47, 48, 49, 62], "string": [2, 3, 15, 17, 25, 38, 45, 52, 58], "standard": [2, 3, 14, 15, 16, 17, 19, 22, 28, 33, 36, 37, 41, 52, 54, 56, 58, 60], "out": [2, 3, 5, 6, 7, 8, 9, 13, 15, 20, 27, 29, 33, 34, 38, 39, 43, 44, 48, 50, 51, 55, 58, 59, 64], "to_str": [2, 3, 38], "printcoeffici": 2, "getdatarepresent": 2, "getdatatupl": 2, "fulli": [2, 6, 13, 14, 33, 45, 52, 56, 58, 64], "distribute_term": [2, 3], "numchunk": 2, "distribut": [2, 3, 7, 10, 13, 20, 32, 34, 38, 43, 45, 56, 64], "chunk": [2, 3, 20], "for_each_term": [2, 3, 23], "give": [2, 8, 10, 13, 15, 33, 48, 56, 58, 63, 64], "functor": 2, "reduct": 2, "captur": [2, 8, 19], "variabl": [2, 8, 19, 20, 31, 32, 33, 34, 39, 41, 44, 47, 48, 56, 58, 62], "for_each_pauli": [2, 3, 23], "thrown": [2, 3], "than": [2, 3, 8, 9, 22, 29, 32, 34, 38, 50, 56, 58], "user": [2, 3, 10, 15, 17, 18, 20, 21, 24, 27, 31, 32, 33, 34, 44, 47, 48, 52, 55, 56, 58], "should": [2, 3, 14, 15, 20, 22, 23, 25, 27, 31, 33, 34, 38, 40, 48, 55, 56, 58, 60, 62], "pass": [2, 3, 6, 12, 15, 19, 20, 23, 27, 31, 33, 41, 44, 46, 48, 51, 52, 53, 58], "index": [2, 3, 23, 25, 27, 29, 33, 40, 55], "complex_matrix": 2, "to_matrix": [2, 3], "dens": 2, "to_sparse_matrix": [2, 3], "row": [2, 3], "col": 2, "static": [2, 3, 15, 22, 27, 52, 56], "random": [2, 3, 8, 10, 11, 33, 34, 40, 47, 49, 51], "nterm": 2, "unsign": 2, "int": [2, 3, 5, 6, 7, 8, 9, 10, 15, 18, 19, 26, 27, 32, 33, 36, 38, 40, 41, 43, 44, 45, 46, 47, 48, 49, 51, 52, 55, 56, 62], "seed": [2, 3, 8, 10, 11, 34, 47, 49], "random_devic": 2, "act": [2, 4, 5, 8, 29, 50], "specifi": [2, 3, 6, 8, 9, 10, 15, 18, 19, 20, 22, 23, 24, 25, 27, 31, 32, 33, 34, 38, 40, 44, 45, 47, 48, 49, 52, 55, 56, 58], "overrid": [2, 15, 34, 54, 56], "repeat": [2, 10, 15, 49, 51], "from_word": [2, 3], "pauliword": 2, "input": [2, 3, 5, 6, 9, 15, 17, 18, 19, 26, 27, 33, 38, 43, 47, 51], "word": [2, 3, 48], "g": [2, 3, 8, 14, 15, 16, 19, 20, 21, 22, 23, 29, 31, 32, 33, 44, 52, 55, 56, 58, 59, 62], "xyx": [2, 3], "3rd": 2, "second": [2, 3, 5, 8, 10, 27, 32, 38, 51], "typenam": [2, 15, 17, 18, 19, 22, 26, 27], "qualifiedspinop": 2, "struct": [2, 15, 17, 18, 19, 22, 26, 32, 41, 43, 44, 45, 46, 49, 51, 52, 54], "constexpr": [2, 17, 27, 32], "dyn": [2, 27, 41, 48], "level": [2, 14, 15, 20, 22, 32, 34, 52, 55, 59], "qudit": [2, 16, 20, 22], "d": [2, 3, 18, 19, 20, 27, 31, 44, 48, 51, 58], "system": [2, 3, 11, 15, 20, 25, 27, 29, 33, 34, 37, 38, 43, 47, 48, 50, 51, 54, 56, 59, 60, 62], "inlin": [2, 15, 52], "new": [2, 3, 12, 13, 15, 17, 29, 37, 52, 53, 56, 58, 62, 64], "uniqu": [2, 3, 8, 10, 15, 20, 22, 27, 33, 60], "enable_if_t": 2, "qreg": [2, 3, 8, 32], "A": [2, 3, 5, 8, 10, 11, 15, 18, 19, 22, 29, 31, 38, 44, 46, 47, 50, 54, 55, 56, 58], "contain": [2, 3, 8, 10, 12, 13, 15, 20, 22, 25, 29, 32, 34, 37, 38, 43, 44, 49, 51, 52, 55, 56, 62, 64], "dynam": [2, 3, 17, 19, 20, 27, 36, 37, 41, 52], "time": [2, 3, 7, 8, 9, 10, 14, 15, 18, 20, 27, 28, 32, 34, 38, 41, 45, 47, 50, 52, 56, 58, 62], "By": [2, 15, 22, 31, 32, 33, 34, 38, 44], "regist": [2, 3, 11, 15, 18, 20, 27, 31, 33, 40, 45, 46, 48, 52, 55], "like": [2, 3, 5, 8, 9, 11, 15, 19, 27, 33, 38, 44, 45, 47, 50, 51, 52, 56, 58, 59, 62], "value_typ": 2, "indic": [2, 3, 19, 22, 23, 27, 48, 55], "underli": [2, 3, 15, 25, 27, 31, 33, 55], "auto": [2, 15, 17, 18, 19, 23, 26, 27, 32, 33, 36, 38, 40, 41, 43, 44, 45, 46, 48, 49, 51, 52, 54, 62], "interfac": [2, 27, 34, 55, 56, 58], "idx": [2, 3, 6, 27, 33], "qspan": 2, "front": [2, 18, 26, 27, 46], "count": [2, 3, 8, 10, 15, 17, 18, 27, 32, 33, 38, 41, 44, 45, 46, 47, 48, 49, 51, 52, 55], "back": [2, 18, 27, 29, 44, 45, 48, 58], "last": [2, 10, 18, 27, 33, 43, 51], "slice": [2, 3, 27, 51], "clear": [2, 3, 15, 27, 55], "destroi": [2, 27], "postcondit": [2, 27], "own": [2, 3, 7, 10, 20, 25, 27, 34, 51, 52, 55, 56, 58], "semant": [2, 3, 14, 19, 20, 21, 24, 26, 27, 29, 52], "held": 2, "explicit": [2, 15, 26, 34, 44], "determin": [2, 5, 38, 60], "If": [2, 3, 5, 6, 9, 10, 15, 29, 32, 34, 38, 40, 47, 50, 51, 56, 58, 62], "check": [2, 13, 31, 32, 44, 50, 56, 58, 64], "norm": [2, 10], "pre": [2, 13, 15, 31, 34, 43, 44, 46, 56, 64], "exist": [2, 3, 13, 14, 15, 20, 21, 38, 50, 54, 56, 58, 62, 64], "could": [2, 32, 36, 50, 51, 56], "from_data": [2, 3], "retriev": [2, 3, 15, 44], "get_stat": [2, 3, 9], "delet": [2, 27, 58], "cannot": [2, 9, 18, 19, 27, 29, 50, 58], "move": [2, 6, 27, 54, 56, 58, 62], "assign": [2, 8, 25, 33, 34, 56], "qview": [2, 18, 19, 26, 40], "observe_result": [2, 3, 15, 43], "encapsul": [2, 6, 15, 27, 33], "observ": [2, 3, 4, 6, 7, 8, 10, 11, 18, 31, 33, 34, 35, 37, 41, 43, 45, 46, 47, 49, 50, 51, 55, 62], "call": [2, 3, 4, 5, 6, 7, 8, 11, 17, 18, 19, 22, 26, 34, 37, 38, 44, 45, 46, 47, 49, 50, 51, 52, 55, 58], "includ": [2, 3, 8, 13, 15, 18, 27, 32, 36, 37, 38, 40, 41, 43, 44, 45, 46, 48, 49, 51, 52, 54, 55, 56, 58, 62, 64], "measur": [2, 3, 5, 6, 7, 9, 10, 15, 16, 18, 19, 20, 22, 29, 33, 34, 36, 37, 38, 40, 44, 45, 48, 51, 52, 55, 62], "execut": [2, 9, 13, 14, 15, 17, 19, 20, 25, 26, 31, 33, 34, 37, 38, 39, 40, 41, 43, 44, 45, 47, 52, 55, 58, 59, 60, 62, 64], "ansatz": [2, 4, 8, 11, 15, 18, 32, 33, 43, 49, 51], "circuit": [2, 3, 5, 6, 8, 9, 10, 14, 15, 19, 20, 23, 24, 28, 29, 31, 32, 33, 34, 37, 38, 43, 49, 51, 52, 54], "global": [2, 3, 8, 15, 19, 32, 38], "expect": [2, 3, 4, 6, 7, 8, 10, 11, 12, 15, 32, 33, 34, 38, 42, 47, 48, 49, 51, 56, 58, 62], "h": [2, 3, 5, 8, 9, 10, 11, 15, 17, 18, 22, 23, 24, 26, 27, 29, 31, 32, 33, 36, 38, 40, 41, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 54, 55, 56, 58, 62], "precomput": 2, "psi": [2, 4, 5, 15, 18, 38, 50], "sample_result": [2, 3, 15, 44], "wa": [2, 3, 5, 15, 33, 45, 52, 56, 59, 62], "shot": [2, 3, 10, 15, 18, 31, 38, 45, 50, 55], "base": [2, 3, 6, 9, 10, 13, 14, 15, 17, 21, 22, 27, 32, 33, 34, 38, 40, 47, 51, 52, 55, 56, 58, 60, 64], "raw_data": [2, 15], "raw": [2, 3], "convers": [2, 15], "simpli": [2, 50, 58, 62], "ignor": [2, 34], "fine": [2, 15, 41, 45, 46, 50], "grain": [2, 15, 41, 45, 46], "explicitli": [2, 29, 31, 34, 52, 60], "request": [2, 15, 32, 33, 34, 58], "oppos": 2, "observe_data": 2, "spinoptyp": [2, 15], "sub": [2, 3, 14, 15, 18, 19, 27, 28, 58], "id_coeffici": [2, 15], "executioncontext": 2, "abstract": [2, 14, 15, 17, 22, 23, 25, 27, 33, 37], "how": [2, 4, 8, 9, 10, 11, 13, 15, 17, 22, 32, 33, 34, 37, 38, 42, 44, 45, 46, 47, 48, 49, 50, 51, 52, 55, 56, 58, 59, 62, 64], "name": [2, 3, 8, 15, 17, 22, 25, 32, 43, 47, 50, 52, 55, 56, 58, 59, 62], "shots_": 2, "member": [2, 3, 8, 19, 51], "basic": [2, 4, 12, 32, 58, 62], "sampl": [2, 3, 5, 7, 8, 10, 17, 31, 32, 33, 34, 35, 37, 40, 41, 44, 45, 46, 47, 48, 49, 50, 55, 58, 62], "option": [2, 3, 5, 10, 11, 15, 17, 22, 25, 31, 32, 33, 38, 44, 46, 51, 55, 56, 58, 60], "result": [2, 3, 4, 5, 6, 7, 10, 11, 15, 16, 17, 18, 20, 29, 31, 32, 33, 34, 38, 40, 41, 43, 44, 45, 46, 47, 48, 50, 52, 55, 58, 62], "invoc": [2, 3, 17, 19, 25, 27, 33, 34, 55], "expectationvalu": 2, "nullopt": 2, "optimization_result": [2, 15], "optresult": 2, "optim": [2, 4, 6, 8, 10, 12, 14, 24, 27, 29, 32, 34, 42, 51, 52, 54, 56, 58], "hasconditionalsonmeasureresult": 2, "fals": [2, 3, 56, 58], "being": [2, 3, 4, 7, 14, 15, 29, 34, 44, 48], "ha": [2, 3, 5, 7, 8, 10, 15, 22, 29, 31, 32, 34, 37, 38, 40, 44, 47, 48, 50, 51, 56, 58], "statement": [2, 5, 15, 16, 37], "noise_model": [2, 3, 7, 10, 48], "noisemodel": [2, 3, 7, 10, 48], "nullptr": 2, "current": [2, 3, 13, 15, 25, 31, 33, 34, 40, 55, 58, 64], "canhandleobserv": 2, "flag": [2, 19, 31, 33, 34, 41, 52, 54, 58], "handl": [2, 3, 31, 32, 33, 34, 40, 41, 44, 55, 58], "task": [2, 15, 23, 33, 38, 52, 55], "under": [2, 10, 31, 54, 55, 56, 58], "asyncexec": 2, "occur": [2, 3, 10, 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