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.
cudaq::kernel_builder", "Compiling and Executing CUDA Quantum Programs", "Generic Library Functions", "What is a CUDA Quantum Kernel?", "Taking Advantage of the Underlying Quantum Platform", "Prerequisites for a CUDA Quantum Code", "Runtime Versus Compile-time Kernels", "Variational Algorithms with CUDA Quantum", "Debugging and Verbose Simulation Output", "CUDA Quantum by Example", "CUDA Quantum Hardware Backends", "CUDA Quantum in Python", "CUDA Quantum Simulation Backends", "CUDA Quantum Tutorials", "CUDA Quantum Versions"], "terms": {"c": [0, 1, 3, 10, 11, 13, 15, 16, 18, 19, 20, 21, 22, 26, 30, 31, 36, 38, 40, 42, 45, 46, 49], "python": [0, 1, 10, 12, 33, 45, 46, 49, 50, 51], "oper": [0, 3, 4, 7, 10, 11, 13, 14, 16, 17, 18, 23, 25, 26, 27, 28, 31, 32, 33, 34, 36, 37, 39, 40, 42, 43, 44, 47, 48, 49], "cuda": [1, 4, 5, 6, 7, 8, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 37, 39, 41, 43, 45], "provid": [1, 2, 3, 7, 11, 13, 14, 16, 18, 19, 21, 22, 23, 24, 25, 26, 28, 30, 31, 32, 33, 36, 37, 38, 39, 40, 41, 44, 46, 47, 49], "default": [1, 2, 3, 4, 14, 18, 26, 31, 33, 34, 36, 41, 44, 47, 48, 49], "set": [1, 2, 3, 5, 8, 14, 16, 18, 21, 22, 28, 34, 41, 48, 49], "These": [1, 2, 11, 13, 21, 22, 23, 25, 26, 28, 31, 36, 37], "can": [1, 2, 3, 4, 6, 7, 10, 11, 12, 13, 14, 15, 16, 18, 19, 21, 22, 24, 25, 26, 28, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 47, 48, 49, 51], "us": [1, 2, 3, 5, 7, 8, 14, 15, 16, 17, 18, 22, 24, 25, 26, 28, 30, 31, 32, 33, 35, 37, 39, 41, 46, 47, 49], "defin": [1, 2, 3, 4, 5, 7, 8, 13, 14, 15, 16, 18, 21, 22, 24, 25, 26, 31, 33, 34, 36, 37, 39, 40, 41, 42, 43, 44, 48], "custom": [1, 2, 7, 14, 22, 32, 34, 48], "kernel": [1, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 17, 19, 21, 22, 23, 24, 25, 26, 27, 31, 34, 35, 36, 38, 39, 41, 42, 44, 47, 48, 51], "librari": [1, 2, 10, 13, 18, 20, 25, 26, 31, 32, 33, 34, 35, 38, 40, 42, 44, 49], "sinc": [1, 5, 6, 30, 31, 34, 41, 48], "intrins": [1, 18, 25, 26, 28], "nativ": [1, 22, 30, 34], "support": [1, 2, 3, 6, 12, 18, 19, 21, 23, 32, 34, 38, 41, 42, 47, 48, 49, 51], "specif": [1, 2, 3, 10, 11, 14, 18, 21, 22, 23, 26, 28, 31, 33, 34, 36, 39, 40, 41, 44, 47, 49], "target": [1, 2, 3, 4, 5, 7, 11, 21, 24, 28, 31, 32, 33, 34, 38, 41, 47, 48, 49], "depend": [1, 3, 10, 18, 19, 28, 41, 43, 48, 49], "backend": [1, 2, 8, 10, 11, 12, 14, 19, 31, 33, 34, 48, 51], "architectur": [1, 2, 5, 6, 10, 11, 13, 19, 28, 33, 38, 41, 47], "nvq": [1, 11, 30, 31, 33, 34, 38, 41, 47, 49], "compil": [1, 2, 3, 10, 11, 13, 14, 15, 18, 19, 23, 25, 26, 30, 31, 33, 34, 35, 36, 40, 41, 47, 49], "automat": [1, 11, 19, 47, 48], "decompos": [1, 3], "appropri": [1, 2, 18, 41, 42], "The": [1, 2, 3, 4, 5, 6, 7, 8, 11, 12, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 43, 44, 47, 48, 49, 51], "section": [1, 11, 16, 23, 49], "list": [1, 2, 3, 5, 6, 8, 9, 11, 14, 34, 47, 48], "implement": [1, 2, 3, 7, 14, 15, 18, 19, 21, 23, 25, 26, 28, 31, 32, 33, 36, 39, 40, 44, 48], "transform": [1, 3, 5, 13, 17, 31, 32], "state": [1, 2, 3, 4, 6, 7, 8, 9, 10, 14, 18, 19, 26, 28, 33, 34, 39, 41, 43, 48], "ar": [1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 18, 19, 23, 25, 26, 27, 28, 31, 33, 34, 36, 38, 39, 40, 41, 43, 44, 46, 47, 48, 49, 51], "templat": [1, 2, 14, 16, 17, 18, 21, 25, 26, 31, 32, 33, 34, 36, 37, 39, 43], "argument": [1, 2, 3, 14, 16, 18, 25, 26, 31, 33, 34, 37, 39, 44, 47, 48], "allow": [1, 2, 3, 4, 5, 6, 8, 14, 16, 30, 31, 32, 34, 43, 48], "invok": [1, 2, 14, 16, 18, 23, 31, 36, 38, 48, 49], "version": [1, 10, 11, 12, 14, 23, 30, 31, 33, 41, 47], "see": [1, 2, 3, 6, 8, 9, 11, 12, 14, 16, 26, 28, 30, 31, 32, 34, 36, 38, 39, 40, 47, 48, 49, 51], "addition": [1, 12, 51], "overload": [1, 2, 3, 14, 18, 21, 22, 28, 40], "broadcast": [1, 3, 21], "singl": [1, 2, 3, 6, 10, 13, 14, 15, 18, 19, 21, 26, 31, 34, 41, 42, 48], "across": [1, 2, 3, 21, 41], "regist": [1, 2, 3, 14, 17, 19, 21, 26, 31, 33, 34, 36, 38, 41, 48], "For": [1, 2, 3, 6, 11, 12, 14, 16, 21, 28, 34, 38, 41, 42, 44, 45, 47, 48, 49, 51], "exampl": [1, 3, 5, 7, 8, 10, 11, 12, 13, 14, 16, 21, 27, 28, 30, 32, 33, 34, 35, 36, 37, 39, 41, 43, 44, 47, 48, 49, 51], "cudaq": [1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 15, 16, 17, 18, 20, 21, 23, 24, 25, 30, 31, 32, 33, 34, 36, 39, 40, 41, 42, 43, 44, 47, 48, 49], "qreg": [1, 2, 3, 14, 17, 18, 21, 25, 31, 34, 36, 37, 39, 41, 43, 44, 48], "flip": [1, 2, 3, 7, 8, 34, 48], "each": [1, 2, 3, 6, 14, 16, 19, 24, 28, 31, 34, 41, 42, 48, 49], "thi": [1, 2, 3, 4, 5, 6, 7, 11, 14, 15, 16, 18, 19, 20, 23, 26, 28, 30, 31, 32, 34, 36, 37, 38, 39, 40, 41, 43, 44, 45, 47, 48, 49], "pauli": [1, 2, 3, 4, 14, 22, 48], "matrix": [1, 2, 3, 6, 7, 33, 34, 48], "It": [1, 2, 14, 26, 28, 31, 33, 39, 48], "i": [1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 26, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 47, 48, 49, 51], "also": [1, 2, 3, 6, 7, 11, 12, 14, 15, 16, 18, 22, 23, 31, 32, 33, 36, 38, 39, 40, 42, 47, 48, 51], "known": [1, 31, 34, 36, 43], "NOT": [1, 14, 21], "gate": [1, 3, 5, 7, 8, 9, 21, 25, 26, 28, 33, 34, 47, 48], "q": [1, 2, 14, 15, 16, 17, 18, 21, 25, 26, 31, 33, 34, 36, 37, 39, 40, 41, 43, 44, 49], "appli": [1, 2, 3, 5, 7, 14, 17, 18, 21, 23, 25, 28, 31, 33, 34, 37, 48], "0": [1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 14, 16, 17, 18, 22, 24, 26, 28, 31, 33, 34, 36, 37, 39, 41, 43, 44, 48, 51], "1": [1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 14, 16, 17, 22, 24, 26, 28, 31, 33, 34, 37, 39, 41, 43, 44, 47, 48, 49, 51], "make_kernel": [1, 3, 4, 5, 6, 7, 8, 9, 16, 37, 41, 48], "qalloc": [1, 2, 3, 4, 5, 6, 7, 8, 9, 16, 37, 41, 48], "rotat": [1, 2, 3, 7, 10, 21, 22, 33, 34, 48], "\u03c0": [1, 34, 48], "about": [1, 2, 11, 12, 14, 28, 34, 36, 41, 43, 48, 49, 51], "axi": [1, 3], "enabl": [1, 2, 3, 4, 6, 13, 14, 15, 16, 18, 19, 23, 24, 25, 31, 33, 34, 36, 38, 39, 40, 41, 49], "one": [1, 2, 3, 6, 8, 11, 14, 16, 17, 19, 21, 24, 28, 30, 32, 33, 34, 36, 37, 38, 41, 42, 48], "creat": [1, 2, 3, 6, 7, 10, 11, 14, 16, 22, 25, 29, 30, 31, 33, 34, 35, 38, 39, 41, 44, 48], "superposit": [1, 14, 17, 26, 34, 41, 48], "comput": [1, 2, 3, 4, 5, 6, 7, 10, 11, 13, 14, 16, 17, 18, 24, 26, 28, 33, 40, 44, 46, 47, 48], "basi": [1, 3, 4, 7, 26, 34, 48], "sqrt": [1, 7, 34, 48], "2": [1, 2, 3, 4, 5, 6, 7, 8, 9, 14, 16, 17, 22, 24, 25, 26, 28, 31, 34, 36, 37, 39, 41, 44, 47, 48, 49], "an": [1, 2, 3, 5, 7, 10, 11, 14, 16, 18, 19, 21, 22, 24, 25, 26, 28, 29, 31, 32, 33, 34, 36, 37, 38, 40, 41, 44, 47, 48, 49, 50], "arbitrari": [1, 2, 34, 47], "\u03bb": 1, "exp": [1, 2, 3, 22], "i\u03bb": 1, "std": [1, 2, 6, 14, 16, 17, 18, 21, 22, 24, 25, 26, 32, 33, 34, 36, 37, 39, 40, 41, 43, 44], "number": [1, 2, 3, 5, 6, 14, 22, 24, 26, 28, 31, 33, 34, 36, 38, 39, 41, 44, 47, 48, 49], "pi": [1, 3, 5, 25, 48], "math": 1, "\u03b8": 1, "co": 1, "isin": 1, "sin": 1, "its": [1, 2, 3, 7, 8, 14, 24, 26, 28, 31, 33, 36, 48, 49, 50], "4": [1, 3, 5, 6, 9, 12, 17, 31, 34, 41, 48, 49, 51], "i\u03c0": 1, "two": [1, 2, 3, 7, 19, 22, 23, 28, 34, 40, 41, 47, 48], "q1": [1, 28], "q2": 1, "adj": [1, 21, 39], "alloc": [1, 2, 3, 4, 8, 10, 16, 17, 18, 19, 26, 33, 34, 35, 37, 40, 48, 49], "now": [1, 3, 6, 11, 12, 28, 34, 48, 51], "again": [1, 4, 11, 28, 34, 48], "initi": [1, 2, 3, 8, 14, 41, 47, 48], "tdg": [1, 3], "ctrl": [1, 2, 14, 16, 17, 21, 31, 34, 37, 39, 41, 43, 44], "condit": [1, 2, 7, 14, 15, 16, 18, 19, 31], "more": [1, 2, 3, 11, 12, 16, 19, 21, 22, 28, 34, 37, 40, 43, 47, 48, 49, 51], "wikipedia": 1, "entri": [1, 14, 18, 31, 38, 39, 40, 48], "c1": [1, 28], "c2": 1, "00": [1, 4, 5, 6, 7], "11": [1, 3, 4, 6, 7, 11, 31], "onli": [1, 2, 3, 5, 6, 11, 14, 19, 22, 23, 26, 28, 31, 32, 34, 40, 41, 43, 47, 48], "both": [1, 3, 5, 19, 28, 45], "000": 1, "111": 1, "3": [1, 2, 3, 4, 5, 6, 7, 11, 12, 14, 17, 25, 30, 31, 33, 34, 37, 39, 44, 48, 51], "cx": [1, 3, 4, 6, 41, 48], "ct": [1, 3], "follow": [1, 2, 3, 11, 14, 16, 18, 21, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 36, 37, 39, 40, 41, 47, 48, 49], "common": [1, 14, 18, 22, 23, 31, 40], "convent": 1, "all": [1, 2, 3, 4, 10, 11, 12, 14, 15, 16, 18, 19, 20, 21, 23, 24, 26, 28, 30, 31, 34, 36, 38, 40, 41, 44, 47, 48, 51], "howev": [1, 28, 47], "behavior": 1, "chang": [1, 2, 11, 12, 51], "instead": [1, 2, 7, 23, 49], "when": [1, 2, 3, 13, 14, 19, 28, 31, 33, 34, 36, 38, 41, 48, 49], "negat": [1, 2, 3, 25, 37], "polar": [1, 25], "syntax": [1, 13, 18, 19, 21, 23, 47, 48], "preced": [1, 18], "01": [1, 3, 7], "10": [1, 3, 5, 7, 17, 18, 31, 34, 49], "notat": 1, "context": [1, 2, 5, 19, 33, 39, 41, 49], "valid": [1, 2, 3, 18, 34, 47, 48], "either": [1, 3, 19, 47, 48], "similarli": 1, "condition": [1, 3], "respect": [1, 2, 3, 11, 14, 21, 34, 36, 39, 44, 47], "e": [1, 2, 3, 11, 14, 15, 17, 18, 21, 22, 28, 31, 33, 34, 38, 39, 40, 41, 47, 49], "project": [1, 11, 30, 33, 49], "onto": 1, "eigenvector": [1, 2], "non": [1, 2, 3, 14, 19, 26, 36, 41, 44, 48], "linear": [1, 5, 7], "avail": [1, 2, 3, 5, 11, 12, 14, 24, 25, 26, 27, 31, 38, 40, 41, 42, 46, 47, 48, 49, 51], "class": [2, 3, 5, 14, 16, 18, 22, 24, 26, 32, 33, 40, 48], "spin_op": [2, 14, 17, 18, 21, 34, 37, 39, 41, 42, 44], "repres": [2, 3, 7, 14, 18, 28, 31, 36, 44], "gener": [2, 3, 6, 10, 11, 14, 16, 18, 19, 21, 22, 25, 27, 31, 32, 34, 35, 36, 37, 40, 43, 44, 47, 48], "sum": [2, 3, 5, 22, 26, 37], "tensor": [2, 3, 5, 10, 22, 33, 34], "product": [2, 3, 22, 48], "expos": [2, 11, 14, 16, 22, 24, 28, 33, 34, 37, 41, 44, 49], "typic": [2, 14, 18, 26, 30, 31, 41, 44], "algebra": [2, 22, 34, 37], "programm": [2, 14, 15, 16, 18, 19, 23, 24, 26, 34, 37, 41, 43, 47], "primit": [2, 13, 16, 18, 19, 22, 26, 27, 39, 40, 41], "them": [2, 3, 6, 28, 31], "compos": [2, 3, 5, 19, 31], "larger": [2, 34, 48, 49], "complex": [2, 3, 6, 7, 22, 28, 34, 38, 48], "thereof": [2, 19, 22], "public": [2, 14, 16, 22, 24, 26, 32, 33, 48], "type": [2, 11, 13, 14, 16, 18, 21, 22, 25, 27, 31, 33, 34, 36, 37, 40, 41, 42, 44, 47, 48, 49], "spin_op_term": 2, "vector": [2, 3, 8, 10, 14, 16, 18, 21, 22, 24, 26, 28, 33, 34, 36, 37, 40, 41, 44, 48], "bool": [2, 3, 14, 18, 21, 22, 24, 33], "we": [2, 3, 4, 5, 6, 7, 8, 9, 11, 14, 23, 28, 30, 31, 32, 33, 34, 35, 36, 39, 40, 41, 43, 47, 48], "term": [2, 3, 4, 6, 14, 21, 22, 41, 47], "binari": [2, 3, 5, 38, 47, 49], "symplect": 2, "form": [2, 3, 4, 12, 14, 26, 28, 31, 51], "size": [2, 3, 6, 14, 16, 17, 19, 26, 36, 41, 49], "nqubit": [2, 16, 33], "where": [2, 3, 4, 5, 6, 19, 21, 22, 26, 28, 33, 34, 36, 37, 44, 47, 48], "first": [2, 3, 7, 8, 26, 31, 34, 36, 39, 47, 48], "n": [2, 5, 6, 14, 16, 17, 18, 21, 22, 25, 31, 34, 36, 39, 41, 43, 49], "element": [2, 3, 26], "x": [2, 3, 4, 5, 7, 9, 11, 14, 15, 16, 17, 18, 21, 22, 25, 31, 34, 37, 38, 39, 40, 41, 43, 44, 47, 48, 49], "next": [2, 10, 28, 31, 48], "z": [2, 3, 4, 5, 6, 8, 14, 17, 22, 34, 37, 41, 48], "y": [2, 3, 4, 14, 17, 22, 34, 37, 41, 48], "site": 2, "csr_spmatrix": 2, "tupl": [2, 3, 14, 44, 48], "doubl": [2, 3, 14, 16, 17, 18, 21, 22, 25, 33, 34, 37, 39, 40, 41, 44], "size_t": [2, 14, 16, 22, 24, 26, 33, 34, 41, 43], "typedef": [2, 36], "zero": [2, 3, 5, 8, 19, 41], "spars": [2, 3], "function": [2, 3, 4, 5, 6, 8, 10, 13, 14, 16, 20, 21, 22, 24, 25, 31, 33, 34, 35, 36, 37, 38, 40, 41, 44, 47, 48], "pair": [2, 3, 24, 28], "const": [2, 14, 16, 17, 21, 22, 24, 26, 32, 33, 34, 44], "termdata": 2, "constructor": [2, 3], "take": [2, 3, 11, 14, 16, 18, 21, 24, 25, 26, 28, 31, 34, 36, 39, 40, 44, 47, 48], "coeffici": [2, 3], "constant": [2, 26, 28, 31], "id": [2, 14, 24, 26, 47], "coeff": [2, 22], "qubit": [2, 3, 4, 5, 6, 7, 9, 10, 11, 14, 15, 16, 17, 18, 19, 21, 22, 24, 25, 28, 31, 33, 34, 36, 37, 39, 40, 41, 43, 47, 48], "construct": [2, 14, 15, 16, 18, 26, 28, 31, 34, 37, 48], "represent": [2, 3, 14, 18, 28, 31, 32, 33, 37, 38], "unordered_map": [2, 14], "_term": 2, "full": [2, 12, 30, 31, 32, 51], "composit": 2, "spin": [2, 3, 4, 5, 6, 8, 14, 17, 22, 28, 31, 34, 37, 39, 41, 42, 48], "op": [2, 28, 31, 34], "map": [2, 3, 7, 14, 26, 31, 38, 39, 44], "individu": [2, 3, 19], "bsf": 2, "from": [2, 3, 4, 5, 6, 7, 8, 10, 14, 15, 18, 19, 22, 26, 28, 30, 31, 33, 34, 36, 40, 41, 44, 48, 49], "data": [2, 5, 6, 9, 14, 18, 20, 22, 28, 31, 33, 34, 39], "ident": [2, 3, 28, 41, 48], "numqubit": 2, "given": [2, 3, 4, 11, 14, 15, 31, 33, 34, 36, 38, 41, 48], "o": [2, 31, 34, 38, 47, 49], "copi": [2, 28, 36], "data_rep": 2, "serial": [2, 3], "encod": [2, 3, 14, 22, 33, 34, 48], "via": [2, 3, 4, 5, 7, 13, 14, 16, 19, 21, 25, 26, 28, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 47, 48, 49], "real": [2, 3], "imaginari": [2, 3], "part": [2, 3, 14, 26, 31, 32, 34, 44], "append": [2, 3, 5, 6, 8, 41, 47], "arrai": [2, 3, 6, 7, 26, 28, 31, 34, 36, 48], "larg": [2, 3, 21, 34], "1d": [2, 3], "end": [2, 3, 7, 14, 26, 34, 36, 47, 48], "total": [2, 3, 6], "destructor": 2, "iter": [2, 3, 5, 14, 26, 44, 48], "begin": [2, 3, 7, 14, 26, 34, 37, 42, 48], "return": [2, 3, 5, 6, 8, 14, 16, 17, 18, 19, 26, 28, 31, 32, 33, 34, 36, 37, 39, 40, 44, 48], "start": [2, 3, 8, 10, 11, 21, 23, 26, 31, 32, 34, 37, 41, 47], "equal": [2, 3, 4, 28, 41], "v": [2, 3, 6, 17, 23, 28, 31, 36, 38], "noexcept": [2, 21], "add": [2, 3, 7, 9, 11, 12, 23, 31, 32, 33, 34, 48, 51], "subtract": [2, 3], "multipli": [2, 3, 37], "true": [2, 3, 5, 14, 18, 47], "here": [2, 7, 10, 11, 12, 14, 16, 23, 31, 32, 34, 35, 36, 37, 40, 41, 44, 48, 51], "doe": [2, 3, 12, 14, 26, 36, 38, 41, 51], "consid": [2, 3, 19, 28, 41, 43], "valu": [2, 3, 4, 5, 6, 8, 14, 16, 18, 22, 28, 31, 36, 39, 40, 46, 48], "num_qubit": 2, "num_term": 2, "get_coeffici": [2, 3, 22], "get": [2, 3, 7, 10, 11, 14, 16, 33, 34, 36, 37, 41, 47, 48], "throw": [2, 36], "except": [2, 3], "get_raw_data": [2, 3], "is_ident": [2, 3, 22], "void": [2, 3, 14, 16, 17, 18, 21, 22, 24, 25, 26, 31, 32, 33, 34, 36, 37, 40, 44], "dump": [2, 3, 4, 6, 7, 14, 17, 34, 39, 41, 48], "string": [2, 3, 14, 16, 22, 24, 31, 34, 37, 39], "standard": [2, 13, 14, 15, 16, 18, 21, 31, 32, 34, 41], "out": [2, 3, 7, 11, 14, 19, 26, 28, 30, 33, 34, 36, 38, 41, 44, 45, 48, 49], "to_str": [2, 3, 22], "printcoeffici": 2, "getdatarepresent": 2, "distribute_term": [2, 3], "numchunk": 2, "distribut": [2, 3, 6, 7, 11, 19, 48, 49], "chunk": [2, 3, 19], "for_each_term": [2, 3, 22], "give": [2, 11, 14, 34, 37, 41, 48, 49, 50], "functor": 2, "method": [2, 3, 5, 14, 16, 41, 44, 48], "reduct": 2, "lambda": [2, 14, 18, 31, 34, 37, 40, 44, 48], "captur": [2, 18], "variabl": [2, 3, 6, 18, 19, 36, 41, 45, 47, 48, 49], "for_each_pauli": [2, 3, 22], "thrown": [2, 3], "than": [2, 3, 21, 28], "user": [2, 3, 6, 11, 14, 16, 18, 31, 33, 34, 39, 40, 47, 48], "should": [2, 3, 11, 14, 15, 18, 19, 21, 22, 24, 26, 33, 34, 37, 41, 42, 43, 47, 48, 49], "pass": [2, 3, 5, 10, 11, 13, 14, 18, 19, 22, 26, 29, 31, 34, 36, 37, 47, 48, 49], "index": [2, 3, 19, 22, 24, 26, 28, 33, 37, 41, 48], "complex_matrix": 2, "to_matrix": [2, 3], "dens": 2, "to_sparse_matrix": [2, 3], "row": [2, 3], "col": 2, "static": [2, 3, 14, 22, 26, 31, 36, 37, 43], "random": [2, 3, 6, 41, 48], "nterm": 2, "unsign": 2, "int": [2, 3, 5, 14, 17, 25, 26, 31, 33, 34, 36, 39, 40, 41, 43, 48], "seed": [2, 3, 6, 48], "random_devic": 2, "act": [2, 8, 28], "specifi": [2, 3, 4, 11, 14, 18, 19, 22, 24, 25, 31, 33, 34, 36, 38, 41, 47, 48, 49], "overrid": [2, 14, 32], "repeat": [2, 14, 48], "from_word": [2, 3], "pauliword": 2, "input": [2, 3, 5, 6, 14, 16, 18, 25, 26, 34, 37, 39, 40, 43, 44, 48], "word": [2, 3, 48], "g": [2, 3, 11, 14, 15, 18, 21, 22, 28, 30, 31, 33, 34, 38, 41, 47, 49], "xyx": [2, 3], "3rd": 2, "second": [2, 3, 34, 44], "typenam": [2, 14, 16, 17, 18, 21, 25], "qualifiedspinop": 2, "struct": [2, 14, 16, 17, 18, 21, 25, 31, 32, 34, 36, 37, 40, 43, 44], "constexpr": [2, 16, 26], "auto": [2, 14, 15, 16, 17, 18, 22, 25, 26, 31, 32, 34, 36, 37, 39, 40, 41, 43, 44], "dyn": [2, 26, 34, 36], "dynamic_ext": 2, "level": [2, 14, 19, 21, 22, 30, 31, 33, 36, 40], "qudit": [2, 18, 19, 21, 22, 36], "d": [2, 3, 17, 19, 26, 34, 47, 48], "system": [2, 3, 6, 14, 19, 24, 26, 28, 30, 32, 34, 41, 48, 49], "inlin": [2, 14, 31], "new": [2, 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5, 7, 9, 11, 14, 15, 16, 17, 18, 21, 22, 25, 31, 34, 37, 38, 39, 40, 41, 43, 44, 47, 48, 49], "next": [2, 10, 28, 31, 48], "z": [2, 3, 4, 5, 6, 8, 14, 17, 22, 34, 37, 41, 48], "y": [2, 3, 4, 14, 17, 22, 34, 37, 41, 48], "site": 2, "csr_spmatrix": 2, "tupl": [2, 3, 14, 44, 48], "doubl": [2, 3, 14, 16, 17, 18, 21, 22, 25, 33, 34, 37, 39, 40, 41, 44], "size_t": [2, 14, 16, 22, 24, 26, 33, 34, 41, 43], "typedef": [2, 36], "zero": [2, 3, 5, 8, 19, 41], "spars": [2, 3], "function": [2, 3, 4, 5, 6, 8, 10, 13, 14, 16, 20, 21, 22, 24, 25, 31, 33, 34, 35, 36, 37, 38, 40, 41, 44, 47, 48], "pair": [2, 3, 24, 28], "const": [2, 14, 16, 17, 21, 22, 24, 26, 32, 33, 34, 44], "termdata": 2, "constructor": [2, 3], "take": [2, 3, 11, 14, 16, 18, 21, 24, 25, 26, 28, 31, 34, 36, 39, 40, 44, 47, 48], "coeffici": [2, 3], "constant": [2, 26, 28, 31], "id": [2, 14, 24, 26, 47], "coeff": [2, 22], "qubit": [2, 3, 4, 5, 6, 7, 9, 10, 11, 14, 15, 16, 17, 18, 19, 21, 22, 24, 25, 28, 31, 33, 34, 36, 37, 39, 40, 41, 43, 47, 48], "construct": [2, 14, 15, 16, 18, 26, 28, 31, 34, 37, 48], "represent": [2, 3, 14, 18, 28, 31, 32, 33, 37, 38], "unordered_map": [2, 14], "_term": 2, "full": [2, 12, 30, 31, 32, 51], "composit": 2, "spin": [2, 3, 4, 5, 6, 8, 14, 17, 22, 28, 31, 34, 37, 39, 41, 42, 48], "op": [2, 28, 31, 34], "map": [2, 3, 7, 14, 26, 31, 38, 39, 44], "individu": [2, 3, 19], "bsf": 2, "from": [2, 3, 4, 5, 6, 7, 8, 10, 14, 15, 18, 19, 22, 26, 28, 30, 31, 33, 34, 36, 40, 41, 44, 48, 49], "data": [2, 5, 6, 9, 14, 18, 20, 22, 28, 31, 33, 34, 39], "ident": [2, 3, 28, 41, 48], "numqubit": 2, "given": [2, 3, 4, 11, 14, 15, 31, 33, 34, 36, 38, 41, 48], "o": [2, 31, 34, 38, 47, 49], "copi": [2, 28, 36], "data_rep": 2, "serial": [2, 3], "encod": [2, 3, 14, 22, 33, 34, 48], "via": [2, 3, 4, 5, 7, 13, 14, 16, 19, 21, 25, 26, 28, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 47, 48, 49], "real": [2, 3], "imaginari": [2, 3], "part": [2, 3, 14, 26, 31, 32, 34, 44], "append": [2, 3, 5, 6, 8, 41, 47], "arrai": [2, 3, 6, 7, 26, 28, 31, 34, 36, 48], "larg": [2, 3, 21, 34], "1d": [2, 3], "end": [2, 3, 7, 14, 26, 34, 36, 47, 48], "total": [2, 3, 6], "destructor": 2, "iter": [2, 3, 5, 14, 26, 44, 48], "begin": [2, 3, 7, 14, 26, 34, 37, 42, 48], "return": [2, 3, 5, 6, 8, 14, 16, 17, 18, 19, 26, 28, 31, 32, 33, 34, 36, 37, 39, 40, 44, 48], "start": [2, 3, 8, 10, 11, 21, 23, 26, 31, 32, 34, 37, 41, 47], "equal": [2, 3, 4, 28, 41], "v": [2, 3, 6, 17, 23, 28, 31, 36, 38], "noexcept": [2, 21], "add": [2, 3, 7, 9, 11, 12, 23, 31, 32, 33, 34, 48, 51], "subtract": [2, 3], "multipli": [2, 3, 37], "true": [2, 3, 5, 14, 18, 47], "here": [2, 7, 10, 11, 12, 14, 16, 23, 31, 32, 34, 35, 36, 37, 40, 41, 44, 48, 51], "doe": [2, 3, 12, 14, 26, 36, 38, 41, 51], "consid": [2, 3, 19, 28, 41, 43], "valu": [2, 3, 4, 5, 6, 8, 14, 16, 18, 22, 28, 31, 36, 39, 40, 46, 48], "num_qubit": 2, "num_term": 2, "get_coeffici": [2, 3, 22], "get": [2, 3, 7, 10, 11, 14, 16, 33, 34, 36, 37, 41, 47, 48], "throw": [2, 36], "except": [2, 3], "get_raw_data": [2, 3], "is_ident": [2, 3, 22], "void": [2, 3, 14, 16, 17, 18, 21, 22, 24, 25, 26, 31, 32, 33, 34, 36, 37, 40, 44], "dump": [2, 3, 4, 6, 7, 14, 17, 34, 39, 41, 48], "string": [2, 3, 14, 16, 22, 24, 31, 34, 37, 39], "standard": [2, 13, 14, 15, 16, 18, 21, 31, 32, 34, 41], "out": [2, 3, 7, 11, 14, 19, 26, 28, 30, 33, 34, 36, 38, 41, 44, 45, 48, 49], "to_str": [2, 3, 22], "printcoeffici": 2, "getdatarepresent": 2, "distribute_term": [2, 3], "numchunk": 2, "distribut": [2, 3, 6, 7, 11, 19, 48, 49], "chunk": [2, 3, 19], "for_each_term": [2, 3, 22], "give": [2, 11, 14, 34, 37, 41, 48, 49, 50], "functor": 2, "method": [2, 3, 5, 14, 16, 41, 44, 48], "reduct": 2, "lambda": [2, 14, 18, 31, 34, 37, 40, 44, 48], "captur": [2, 18], "variabl": [2, 3, 6, 18, 19, 36, 41, 45, 47, 48, 49], "for_each_pauli": [2, 3, 22], "thrown": [2, 3], "than": [2, 3, 21, 28], "user": [2, 3, 6, 11, 14, 16, 18, 31, 33, 34, 39, 40, 47, 48], "should": [2, 3, 11, 14, 15, 18, 19, 21, 22, 24, 26, 33, 34, 37, 41, 42, 43, 47, 48, 49], "pass": [2, 3, 5, 10, 11, 13, 14, 18, 19, 22, 26, 29, 31, 34, 36, 37, 47, 48, 49], "index": [2, 3, 19, 22, 24, 26, 28, 33, 37, 41, 48], "complex_matrix": 2, "to_matrix": [2, 3], "dens": 2, "to_sparse_matrix": [2, 3], "row": [2, 3], "col": 2, "static": [2, 3, 14, 22, 26, 31, 36, 37, 43], "random": [2, 3, 6, 41, 48], "nterm": 2, "unsign": 2, "int": [2, 3, 5, 14, 17, 25, 26, 31, 33, 34, 36, 39, 40, 41, 43, 48], "seed": [2, 3, 6, 48], "random_devic": 2, "act": [2, 8, 28], "specifi": [2, 3, 4, 11, 14, 18, 19, 22, 24, 25, 31, 33, 34, 36, 38, 41, 47, 48, 49], "overrid": [2, 14, 32], "repeat": [2, 14, 48], "from_word": [2, 3], "pauliword": 2, "input": [2, 3, 5, 6, 14, 16, 18, 25, 26, 34, 37, 39, 40, 43, 44, 48], "word": [2, 3, 48], "g": [2, 3, 11, 14, 15, 18, 21, 22, 28, 30, 31, 33, 34, 38, 41, 47, 49], "xyx": [2, 3], "3rd": 2, "second": [2, 3, 34, 44], "typenam": [2, 14, 16, 17, 18, 21, 25], "qualifiedspinop": 2, "struct": [2, 14, 16, 17, 18, 21, 25, 31, 32, 34, 36, 37, 40, 43, 44], "constexpr": [2, 16, 26], "auto": [2, 14, 15, 16, 17, 18, 22, 25, 26, 31, 32, 34, 36, 37, 39, 40, 41, 43, 44], "dyn": [2, 26, 34, 36], "dynamic_ext": 2, "level": [2, 14, 19, 21, 22, 30, 31, 33, 36, 40], "qudit": [2, 18, 19, 21, 22, 36], "d": [2, 3, 17, 19, 26, 34, 47, 48], "system": [2, 3, 6, 14, 19, 24, 26, 28, 30, 32, 34, 41, 48, 49], "inlin": [2, 14, 31], "new": [2, 3, 10, 11, 14, 16, 28, 29, 31], "uniqu": [2, 3, 13, 14, 19, 21, 26, 35, 49], "A": [2, 3, 6, 11, 14, 21, 28, 32, 33, 40, 47, 48, 49], "contain": [2, 3, 11, 14, 18, 19, 24, 28, 31, 33, 34, 36, 41, 48], "dynam": [2, 3, 15, 16, 19, 26, 31, 34, 36], "time": [2, 3, 4, 6, 7, 10, 11, 13, 14, 17, 19, 23, 26, 27, 31, 34, 35, 36, 39, 48], "By": [2, 14, 39, 41, 47, 48, 49], "like": [2, 3, 4, 6, 11, 14, 26, 30, 31, 33, 34, 36, 38, 41, 43, 44, 48, 49], "paramet": [2, 3, 5, 6, 8, 9, 14, 21, 26, 33, 34, 36, 37, 39, 43, 44, 47, 48], "value_typ": 2, "indic": [2, 3, 18, 21, 22, 26, 33, 34, 36, 40, 48], "underli": [2, 3, 14, 24, 26, 33, 36, 47], "nullari": 2, "delet": [2, 11, 26], "cannot": [2, 18, 26, 28, 36, 43], "move": [2, 5, 32], "interfac": [2, 26, 33], "idx": [2, 5, 22, 26], "qspan": [2, 17, 18, 25, 36, 39, 40], "front": [2, 17, 25, 26, 34, 36], "count": [2, 3, 5, 6, 14, 16, 17, 22, 26, 31, 33, 34, 39, 41, 48], "back": [2, 6, 11, 17, 26, 28, 34, 48], "last": [2, 26, 41, 48], "slice": [2, 3, 22, 26, 36], "clear": [2, 3, 14, 26, 33, 40], "destroi": [2, 26], "postcondit": [2, 26], "observe_result": [2, 3, 14, 34], "encapsul": [2, 5, 14, 26], "observ": [2, 3, 5, 6, 8, 17, 33, 34, 37, 39, 41, 42, 44, 47, 48], "call": [2, 3, 4, 6, 8, 14, 16, 18, 19, 25, 31, 33, 34, 36, 37, 40, 44, 48], "includ": [2, 3, 11, 12, 14, 17, 31, 32, 33, 34, 38, 42, 48, 51], "measur": [2, 3, 4, 7, 14, 15, 17, 18, 19, 21, 28, 31, 33, 34, 39, 41, 48], "execut": [2, 6, 10, 11, 12, 14, 16, 18, 19, 24, 25, 30, 31, 33, 34, 40, 41, 45, 47, 48, 51], "ansatz": [2, 8, 9, 14, 34, 37, 39, 41, 44, 48], "circuit": [2, 3, 5, 6, 10, 13, 14, 15, 18, 19, 22, 23, 27, 28, 31, 32, 36, 37, 38, 41, 43, 48, 49], "global": [2, 3, 14, 18, 36], "expect": [2, 3, 4, 5, 6, 8, 9, 14, 39, 46, 48, 49], "h": [2, 3, 4, 5, 6, 9, 14, 16, 17, 22, 25, 26, 28, 31, 32, 33, 34, 37, 39, 41, 42, 43, 44, 47, 48], "precomput": 2, "psi": [2, 4, 8, 14, 17], "sample_result": [2, 3, 14, 34], "If": [2, 3, 4, 5, 6, 11, 14, 28, 30, 39, 48, 49], "wa": [2, 3, 14, 30, 31, 34, 39, 41], "shot": [2, 3, 14, 17, 33, 34, 39, 47], "base": [2, 3, 9, 11, 12, 13, 14, 16, 20, 21, 31, 33, 38, 41, 42, 44, 48, 49, 51], "raw_data": [2, 14], "raw": [2, 3, 5], "convers": 2, "simpli": [2, 48], "ignor": 2, "fine": [2, 14, 34, 49], "grain": [2, 14, 34], "explicitli": [2, 28, 31, 47], "request": [2, 14, 49], "oppos": [2, 37], "observe_data": 2, "spinoptyp": [2, 14], "sub": [2, 3, 13, 14, 17, 18, 27, 36, 44], "id_coeffici": [2, 14], "executioncontext": 2, "abstract": [2, 14, 16, 21, 22, 24, 26, 37, 41], "how": [2, 6, 8, 14, 16, 30, 31, 33, 34, 35, 43, 46, 48, 49], "name": [2, 3, 6, 11, 14, 16, 21, 24, 30, 31, 33, 34, 38, 39], "shots_": 2, "member": [2, 18], "basic": [2, 8, 10, 11, 23, 38], "sampl": [2, 3, 6, 7, 16, 33, 34, 39, 41, 42, 47, 48], "option": [2, 3, 14, 16, 21, 24, 33, 34, 38, 48, 49], "result": [2, 3, 4, 6, 7, 8, 14, 15, 16, 17, 19, 28, 31, 33, 34, 39, 41, 47, 48], "invoc": [2, 3, 16, 24, 33, 38, 41, 44], "expectationvalu": 2, "nullopt": 2, "hasconditionalsonmeasureresult": 2, "fals": [2, 5], "being": [2, 3, 7, 8, 14, 28, 34, 48], "ha": [2, 3, 6, 7, 9, 14, 28, 34, 36, 47, 48], "statement": [2, 14, 15, 19], "noise_model": [2, 3, 7, 34, 48], "noisemodel": [2, 3, 7, 48], "nullptr": 2, "current": [2, 3, 11, 14, 24, 33, 36, 44, 47, 48, 49], "canhandleobserv": 2, "flag": [2, 11, 31, 32, 34, 38, 41, 47, 49], "handl": [2, 3, 33, 34, 41, 47, 48], "task": [2, 14, 22, 23, 31, 33, 41], "under": [2, 32, 33, 47], "asyncexec": 2, "occur": [2, 3, 19, 34, 48], "asynchron": [2, 3, 6, 14, 24, 34, 48], "detail": [2, 11, 19, 33, 40, 47, 49], "futur": [2, 3, 6, 14, 34, 41, 47, 48], "futureresult": 2, "store": [2, 3, 6, 19, 26, 31, 34, 41], "simulationdata": 2, "mechan": [2, 14, 16, 22, 26, 28, 32, 39, 45], "simul": [2, 4, 6, 8, 10, 13, 14, 29, 31, 38, 41, 46, 47], "client": [2, 14], "extract": [2, 3, 5, 14, 16, 17, 22, 28, 31, 36, 44, 48], "resourc": [2, 23, 24, 38], "kernelresourc": 2, "run": [2, 3, 5, 6, 11, 13, 14, 30, 31, 33, 34, 38, 47, 48, 49], "tracer": 2, "persist": [2, 14, 19], "trace": 2, "kernelnam": 2, "batchiter": 2, "batch": [2, 5, 6, 19], "observe_n": 2, "sample_n": 2, "totaliter": 2, "registernam": [2, 14], "mid": [2, 3], "mode": [2, 4, 31, 38], "keep": [2, 14], "track": [2, 14], "job": [2, 14, 34, 48], "identifi": [2, 19], "qpu": [2, 3, 14, 19, 24, 33, 41, 47], "ani": [2, 3, 6, 7, 11, 14, 18, 23, 25, 26, 33, 34, 37, 39, 40, 42, 45, 47, 48, 49], "extra": [2, 28, 34, 48], "configur": [2, 11, 18, 24, 30, 31, 33, 34, 38, 39, 40, 47, 49], "inform": [2, 3, 11, 12, 14, 19, 21, 24, 26, 31, 34, 36, 41, 47, 48, 49, 51], "need": [2, 4, 6, 7, 11, 28, 30, 33, 37, 41, 44, 47, 48], "retriev": [2, 3, 14, 48], "later": [2, 14, 34, 41, 48], "server": [2, 47], "file": [2, 6, 11, 14, 30, 31, 32, 33, 34, 38, 42, 47, 48], "read": [2, 3, 34, 48], "wrap": [2, 14, 16, 28], "t": [2, 3, 17, 18, 22, 36, 37, 39, 48], "case": [2, 3, 7, 14, 28, 34, 37, 41, 48], "must": [2, 3, 4, 14, 18, 23, 26, 28, 32, 33, 34, 36, 38, 39, 40, 42, 44, 47, 48, 49], "some": [2, 3, 11, 14, 18, 28, 30, 31, 32, 33, 37, 40, 41], "point": [2, 14, 18, 21, 31, 33, 36, 38, 39, 40, 41, 49], "within": [2, 3, 14, 18, 20, 22, 23, 26, 30, 32, 34, 48, 49], "same": [2, 3, 14, 28, 31, 33, 34, 36, 41, 47, 48, 49], "runtim": [2, 10, 16, 19, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 49], "_job": 2, "qpunamein": 2, "config": [2, 33], "info": [2, 31, 45], "requir": [2, 3, 5, 6, 14, 18, 23, 25, 26, 28, 30, 34, 37, 40, 42, 43, 44, 47, 49], "abl": [2, 11, 14, 19, 23, 48], "date": 2, "even": 2, "after": [2, 3, 14, 31, 34, 48], "async_result": [2, 34, 48], "face": 2, "which": [2, 3, 4, 5, 6, 7, 8, 11, 14, 16, 18, 19, 22, 26, 28, 30, 31, 33, 34, 36, 38, 39, 40, 47, 48], "itself": [2, 16, 25, 28, 37, 41], "collect": [2, 3, 6, 23], "pertin": [2, 14, 20, 25, 26], "remot": [2, 11, 14, 19], "rest": [2, 47, 48], "wait": [2, 3, 34, 41], "until": [2, 3, 34], "readi": [2, 34, 48], "executionresult": 2, "bit": [2, 7, 14, 17, 19, 26, 28, 33, 34, 39, 48], "correspond": [2, 3, 8, 14, 34, 39, 48], "well": [2, 3, 11, 12, 14, 19, 30, 33, 36, 48, 49, 51], "integ": [2, 3, 24, 49], "1st": [2, 7], "bitstr": [2, 3, 14, 48], "m": [2, 6, 22, 31, 49], "tripl": [2, 31], "long": [2, 14, 34, 48], "length": [2, 48], "deseri": 2, "discuss": [2, 32, 35, 36], "brief": [2, 33, 34, 48], "countsdictionari": [2, 14], "assum": [2, 19, 26, 33, 34], "expval": [2, 14], "other": [2, 3, 10, 16, 18, 22, 26, 28, 36, 40, 41], "appendresult": 2, "globalregisternam": [2, 14], "classic": [2, 13, 15, 19, 21, 22, 26, 28, 30, 31, 33, 34, 35, 36, 38, 39, 40, 41, 48], "sequentialdata": 2, "sequenti": [2, 3, 14], "collat": 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