diff --git a/pr-2520/applications/python/deutschs_algorithm.html b/pr-2520/applications/python/deutschs_algorithm.html index e94137d2e3..e88e07a022 100644 --- a/pr-2520/applications/python/deutschs_algorithm.html +++ b/pr-2520/applications/python/deutschs_algorithm.html @@ -804,7 +804,7 @@

XOR \(\oplus\)

Quantum oracles

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+

8120894454524630bce9f16373a064e6

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 logical gates.

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

@@ -852,7 +852,7 @@

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.

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\[\ket{\psi_0} = \ket{01} \tag{1}\]
diff --git a/pr-2520/examples/python/performance_optimizations.html b/pr-2520/examples/python/performance_optimizations.html index 0a35ae9818..3f8efda6a0 100644 --- a/pr-2520/examples/python/performance_optimizations.html +++ b/pr-2520/examples/python/performance_optimizations.html @@ -732,9 +732,9 @@

Optimizing Performance

Gate Fusion

Gate fusion is an optimization technique where consecutive gates are combined into a single gate operation to improve the efficiency of the simulation (See figure below). By targeting the nvidia-mgpu backend and setting the CUDAQ_MGPU_FUSE environment variable, you can select the degree of fusion that takes place. A full command line example would look like CUDAQ_MGPU_FUSE=4 python c2h2VQE.py --target nvidia --target-option fp64,mgpu

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6160be5287414f29bc0a98778f7f5450

+

f0a82266cae74252a21889489f2efa0c

The importance of gate fusion is system dependent, but can have a large influence on the performance of the simulation. See the example below for a 24 qubit VQE experiment where changing the fusion level resulted in significant performance boosts.

-

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54, 55, 58, 59, 64, 67, 73, 75, 77, 78, 79, 80, 81], "axi": [1, 11, 21, 22, 30], "enabl": [1, 2, 3, 5, 9, 13, 15, 24, 33, 34, 36, 38, 39, 41, 43, 44, 45, 46, 50, 51, 52, 54, 55, 58, 59, 63, 64, 67, 69, 72, 73, 75, 79, 80], "one": [1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 19, 20, 21, 23, 24, 30, 32, 34, 36, 37, 39, 41, 44, 48, 51, 52, 53, 54, 55, 60, 61, 63, 64, 66, 67, 68, 69, 71, 72, 73, 75, 79, 80, 81], "superposit": [1, 5, 7, 14, 30, 34, 37, 46, 54, 57, 59, 68], "comput": [1, 2, 3, 4, 7, 8, 9, 10, 11, 13, 14, 15, 16, 18, 19, 21, 22, 23, 24, 26, 28, 30, 31, 32, 33, 34, 36, 37, 38, 44, 46, 48, 53, 54, 55, 58, 59, 62, 67, 72, 73, 77, 79, 80, 81], "basi": [1, 2, 3, 4, 10, 12, 13, 15, 18, 21, 23, 24, 25, 26, 46, 53, 54, 68], "sqrt": [1, 3, 5, 7, 10, 12, 13, 15, 16, 18, 26, 30, 37, 51, 55, 64, 68, 80], "2": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 48, 51, 52, 53, 54, 55, 59, 61, 63, 64, 66, 67, 68, 69, 73, 75, 77, 79, 80, 81], "an": [1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 25, 26, 27, 28, 29, 30, 31, 32, 34, 36, 38, 39, 41, 42, 44, 45, 46, 48, 49, 51, 52, 53, 54, 55, 57, 59, 61, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 75, 77, 80, 81], "arbitrari": [1, 2, 3, 21, 32, 51, 52, 66, 79, 81], "\u03bb": 1, "exp": [1, 2, 12, 19, 37, 42, 51], "i\u03bb": 1, "math": [1, 4, 7, 19, 53], "pi": [1, 8, 9, 11, 14, 15, 17, 19, 20, 22, 23, 28, 30, 37, 38, 43, 45, 51, 52, 53, 64], "std": [1, 2, 3, 34, 36, 37, 38, 41, 42, 44, 45, 46, 53, 54, 55, 59, 64, 65, 67, 71, 72, 77, 79], "number": [1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 14, 15, 17, 18, 19, 21, 22, 23, 24, 27, 28, 30, 34, 37, 42, 44, 46, 48, 51, 52, 53, 54, 55, 57, 59, 63, 64, 65, 66, 67, 68, 69, 72, 75, 80], "\u03b8": 1, "co": [1, 15, 20, 30, 51], "isin": 1, "sin": [1, 15, 30], "its": [1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 15, 16, 17, 18, 26, 32, 33, 34, 44, 46, 48, 49, 53, 54, 55, 59, 61, 64, 65, 68, 69, 72, 73, 75, 79, 80, 81], "4": [1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 32, 34, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 52, 53, 54, 55, 61, 64, 67, 69, 73, 75, 79, 81], "i\u03c0": 1, "two": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 14, 16, 17, 18, 19, 20, 21, 23, 26, 28, 30, 39, 48, 51, 52, 54, 55, 59, 61, 63, 64, 66, 68, 75, 79], "qubit_1": [1, 7, 14, 61], "qubit_2": [1, 16], "univers": [1, 2, 9, 16, 21, 53, 68], "three": [1, 10, 18, 19, 21, 23, 39, 52, 53, 63], "paramet": [1, 2, 3, 6, 8, 9, 11, 12, 13, 14, 17, 19, 21, 22, 24, 34, 38, 41, 46, 51, 52, 53, 55, 57, 61, 63, 64, 65, 67, 72, 73], "euler": [1, 51], "angl": [1, 2, 3, 6, 10, 13, 15, 18, 19, 28, 30, 37, 38, 41, 54, 57, 63, 64], "theta": [1, 8, 9, 10, 11, 14, 15, 22, 23, 26, 28, 30, 34, 36, 37, 53, 54, 61, 63], "phi": [1, 3, 4, 10, 34, 36, 52, 64, 69], "\u03c6": 1, "lambda": [1, 2, 8, 9, 12, 13, 14, 18, 19, 20, 23, 28, 34, 37, 38, 43, 51, 64, 66, 67, 69], "i\u03c6": 1, "np": [1, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 28, 30, 37, 38, 43, 45, 51, 52, 54, 55, 61, 64, 67, 73], "m_pi": [1, 37, 45, 64], "m_pi_2": [1, 37, 38, 53], "adj": [1, 41, 61], "method": [1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 18, 19, 20, 21, 22, 23, 27, 28, 34, 36, 41, 46, 51, 52, 54, 55, 59, 61, 64, 65], "ani": [1, 2, 3, 9, 12, 14, 19, 20, 21, 23, 24, 26, 28, 30, 34, 38, 40, 41, 43, 45, 46, 51, 52, 53, 55, 57, 59, 60, 61, 64, 65, 66, 72, 73, 75, 79, 80], "alloc": [1, 2, 3, 6, 14, 21, 34, 36, 37, 38, 39, 46, 54, 55, 57, 59, 65, 66, 72], "now": [1, 4, 5, 7, 9, 13, 14, 15, 16, 19, 21, 22, 23, 32, 48, 52, 59, 64, 65, 66, 67, 75, 80, 81], "again": [1, 5, 23, 24, 34, 48, 75, 77], "initi": [1, 2, 3, 4, 5, 6, 8, 9, 12, 13, 14, 15, 16, 19, 20, 22, 23, 28, 34, 51, 52, 54, 61, 64, 67, 68, 73, 75], "ctrl": [1, 2, 5, 7, 14, 17, 19, 24, 28, 30, 34, 36, 37, 41, 53, 54, 57, 61, 63, 64, 65, 66, 68, 69, 75, 80], "condit": [1, 2, 15, 16, 21, 26, 34, 35, 36, 38, 39, 55, 58, 68, 69], "more": [1, 2, 3, 4, 5, 8, 9, 10, 12, 13, 14, 15, 18, 19, 21, 23, 27, 30, 32, 36, 39, 41, 42, 48, 52, 53, 54, 55, 58, 59, 61, 64, 67, 68, 73, 75, 77, 79, 80, 81], "wikipedia": [1, 51], "entri": [1, 3, 12, 34, 38, 54, 61, 64, 69, 75, 79], "ctrl_1": 1, "ctrl_2": 1, "00": [1, 4, 9, 13, 16, 24, 26, 28, 55, 59, 67, 68, 79, 80], "11": [1, 3, 4, 9, 11, 13, 16, 17, 18, 20, 21, 23, 24, 26, 28, 30, 34, 55, 59, 67, 68, 69, 73, 75, 79, 80], "onli": [1, 2, 3, 5, 7, 9, 16, 18, 19, 21, 23, 24, 25, 30, 32, 34, 38, 39, 43, 46, 48, 51, 52, 53, 54, 58, 64, 68, 69, 71, 73, 75, 79, 80, 81], "both": [1, 3, 4, 5, 7, 11, 13, 19, 39, 48, 52, 54, 55, 68, 73, 75, 77], "000": [1, 15, 16, 18, 19, 53, 59], "111": [1, 9, 15, 16, 18, 19], "follow": [1, 2, 3, 4, 5, 7, 8, 9, 10, 13, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 27, 28, 30, 32, 34, 36, 38, 41, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 57, 59, 60, 61, 63, 64, 65, 69, 71, 72, 73, 75, 76, 77, 79, 80, 81], "common": [1, 3, 9, 10, 18, 19, 21, 22, 23, 34, 38, 41, 42, 69, 73], "convent": [1, 8, 11, 14, 24], "all": [1, 2, 3, 9, 13, 16, 17, 18, 19, 20, 21, 23, 24, 28, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 43, 44, 46, 48, 52, 53, 54, 55, 59, 61, 63, 64, 67, 68, 69, 73, 75, 76, 77, 79, 80, 81], "howev": [1, 4, 9, 13, 15, 16, 18, 21, 23, 24, 32, 48, 51, 52, 54, 79, 81], "behavior": [1, 2, 3, 9, 23, 32, 55, 81], "chang": [1, 2, 5, 9, 13, 15, 19, 29, 32, 34, 38, 51, 59, 75, 80, 81], "instead": [1, 2, 4, 9, 26, 40, 43, 52, 54, 55, 59, 73, 75, 79], "when": [1, 2, 3, 9, 12, 13, 14, 18, 19, 21, 32, 34, 39, 46, 48, 53, 54, 55, 59, 63, 64, 65, 69, 72, 73, 75, 79, 80, 81], "negat": [1, 2, 3, 41, 45, 46], "polar": [1, 41, 45, 55], "syntax": [1, 9, 32, 33, 38, 39, 41, 43, 52, 61, 64, 77, 81], "preced": [1, 41, 52], "01": [1, 4, 7, 13, 16, 21, 26, 28, 55, 68], "10": [1, 4, 9, 10, 11, 12, 13, 14, 16, 17, 18, 20, 21, 23, 26, 28, 30, 34, 37, 38, 55, 59, 61, 64, 65, 67, 68, 69, 73, 75, 77], "notat": [1, 16, 68], "context": [1, 2, 11, 39, 54, 55, 72], "valid": [1, 2, 3, 31, 38, 52, 55, 61, 64, 73, 75, 79], "either": [1, 7, 11, 14, 19, 39, 52, 54, 55, 64, 68, 73, 75, 80], "similarli": [1, 7, 23, 54, 60, 68], "condition": 1, "respect": [1, 2, 3, 4, 8, 13, 14, 19, 23, 28, 34, 51, 52, 54, 59, 63, 67, 68, 73, 75, 80], "e": [1, 2, 3, 4, 7, 8, 9, 10, 12, 14, 15, 16, 18, 19, 20, 21, 22, 27, 30, 33, 34, 35, 37, 38, 39, 40, 41, 42, 48, 51, 52, 53, 54, 55, 64, 69, 72, 73, 75, 79, 80], "project": [1, 55, 72, 73, 75, 76, 79], "onto": [1, 68], "eigenvector": [1, 2, 10, 12], "non": [1, 2, 3, 8, 10, 12, 18, 19, 32, 34, 38, 39, 46, 54, 55, 59, 63, 65, 81], "linear": [1, 5, 9, 11, 12, 15, 22, 26, 53, 59, 64, 68], "avail": [1, 2, 3, 8, 9, 10, 21, 23, 28, 31, 32, 33, 34, 38, 39, 41, 44, 45, 46, 47, 50, 52, 53, 54, 55, 58, 59, 61, 62, 63, 64, 69, 73, 75, 80, 81], "first": [1, 2, 3, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 26, 28, 30, 31, 34, 46, 52, 53, 54, 55, 56, 61, 63, 64, 65, 66, 69, 75, 80], "api": [1, 13, 24, 27, 30, 31, 32, 34, 36, 40, 41, 44, 46, 51, 52, 53, 54, 55, 59, 61, 64, 65, 72, 73, 75, 77, 79, 81], "regist": [1, 2, 3, 5, 10, 13, 15, 19, 22, 25, 34, 37, 39, 46, 52, 54, 61, 64, 65, 66, 69, 72], "outsid": [1, 9, 32, 75, 79, 81], "Then": [1, 7, 18, 21, 25, 52, 64, 71, 72], "within": [1, 2, 3, 13, 22, 32, 34, 38, 40, 42, 46, 52, 54, 55, 58, 59, 61, 64, 65, 68, 71, 73, 75, 76, 77, 79, 80, 81], "like": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 14, 15, 16, 19, 21, 22, 23, 24, 28, 29, 32, 34, 38, 46, 52, 54, 59, 61, 64, 65, 67, 68, 69, 73, 75, 76, 79, 80, 81], "built": [1, 2, 4, 6, 8, 9, 12, 15, 23, 24, 26, 32, 52, 55, 58, 59, 73, 79, 80, 81], "abov": [1, 2, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 21, 23, 24, 34, 36, 41, 51, 52, 53, 54, 55, 59, 61, 63, 64, 66, 68, 69, 72, 73, 75, 77, 79, 80], "level": [1, 2, 3, 13, 23, 29, 32, 33, 34, 39, 41, 51, 52, 53, 54, 55, 69, 72, 76, 81], "register_oper": [1, 13, 61], "accept": [1, 2, 3, 23, 24, 57, 73, 75, 80], "identifi": [1, 2, 3, 4, 13, 14, 19, 21, 73, 75], "string": [1, 2, 3, 5, 19, 27, 30, 34, 36, 37, 44, 51, 55, 59, 65, 69, 75, 79], "numpi": [1, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 28, 30, 37, 51, 61, 64, 67, 73], "arrai": [1, 2, 3, 4, 7, 10, 12, 13, 15, 16, 17, 18, 21, 24, 26, 28, 46, 48, 51, 52, 54, 55, 61, 64, 65, 67, 69], "complex": [1, 2, 3, 4, 7, 8, 12, 16, 20, 26, 42, 48, 51, 54, 59, 61, 67, 68, 79], "A": [1, 2, 3, 4, 7, 8, 9, 10, 12, 14, 16, 17, 18, 19, 20, 22, 28, 29, 30, 34, 37, 38, 41, 48, 51, 52, 59, 61, 64, 66, 67, 68, 71, 72, 73, 75], "1d": [1, 2], "interpret": [1, 8, 58, 64, 73], "row": [1, 2, 3, 30, 61], "major": [1, 73], "import": [1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 37, 42, 51, 52, 53, 54, 55, 57, 59, 61, 63, 64, 65, 67, 68, 69, 73, 79, 80], "custom_h": 1, "custom_x": [1, 61], "def": [1, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 34, 37, 38, 43, 45, 51, 53, 54, 55, 57, 59, 61, 63, 64, 65, 66, 67, 68, 75, 80], "bell": [1, 13, 16, 34, 79], "sampl": [1, 2, 3, 5, 7, 8, 9, 13, 14, 17, 18, 19, 21, 26, 36, 52, 53, 54, 55, 56, 58, 61, 64, 65, 66, 67, 68, 72, 75, 79, 80], "dump": [1, 2, 3, 26, 34, 37, 53, 54, 55, 59, 64, 65, 67, 79, 80], "macro": [1, 72], "cudaq_register_oper": 1, "uniqu": [1, 2, 3, 9, 14, 18, 21, 34, 39, 41, 46, 54, 77], "name": [1, 2, 3, 9, 13, 14, 16, 19, 34, 36, 41, 44, 50, 51, 52, 53, 54, 55, 63, 67, 68, 69, 72, 73, 75, 76, 79, 80], "represent": [1, 2, 3, 15, 16, 21, 24, 30, 34, 38, 48, 51, 55, 69, 71, 72], "includ": [1, 2, 3, 4, 12, 13, 14, 17, 23, 32, 34, 37, 46, 51, 53, 55, 57, 58, 59, 61, 63, 64, 65, 66, 69, 71, 72, 73, 75, 77, 79, 80, 81], "m_sqrt1_2": 1, "__qpu__": [1, 2, 34, 37, 38, 45, 53, 54, 55, 57, 59, 63, 64, 65, 66, 69, 79, 80], "void": [1, 2, 3, 34, 36, 37, 38, 41, 42, 44, 45, 46, 55, 57, 59, 64, 66, 69, 71, 72, 77, 79, 80], "bell_pair": [1, 2, 3], "r": [1, 4, 13, 18, 19, 41, 46, 52, 53, 54, 55, 63, 64, 69, 75], "int": [1, 2, 3, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 23, 24, 26, 34, 37, 38, 45, 46, 51, 53, 54, 55, 57, 59, 61, 63, 64, 65, 66, 67, 69, 72, 73, 77, 79, 80], "main": [1, 4, 5, 9, 19, 21, 32, 34, 37, 48, 53, 55, 59, 63, 64, 65, 66, 69, 73, 75, 77, 79, 80, 81], "auto": [1, 2, 34, 36, 37, 38, 42, 45, 46, 53, 54, 55, 57, 59, 63, 64, 65, 66, 69, 71, 79, 80], "count": [1, 2, 3, 5, 8, 9, 10, 12, 13, 14, 18, 19, 24, 34, 36, 37, 46, 52, 53, 54, 55, 59, 64, 65, 66, 67, 69, 72], "bit": [1, 2, 3, 4, 5, 7, 13, 16, 17, 18, 19, 24, 26, 34, 37, 39, 46, 48, 54, 55, 64, 65, 66, 68, 72], "printf": [1, 34, 37, 46, 54, 63, 65, 66, 73], "n": [1, 2, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 20, 21, 23, 34, 36, 37, 38, 41, 42, 45, 53, 54, 55, 59, 61, 63, 64, 65, 66, 67, 68, 69, 73, 77, 80], "data": [1, 2, 8, 11, 12, 13, 14, 15, 22, 31, 34, 38, 40, 42, 48, 54, 55, 63, 65, 66, 69, 72, 74, 75, 77, 79], "multi": [1, 4, 15, 16, 24, 30, 31, 32, 33, 36, 39, 41, 45, 50, 51, 52, 53, 59, 61, 62, 63, 68, 72, 73, 79, 80, 81], "msb": 1, "order": [1, 2, 3, 4, 9, 12, 13, 14, 16, 30, 34, 42, 51, 52, 55, 59, 63], "big": [1, 8, 17, 24], "endian": [1, 17, 24], "show": [1, 8, 9, 11, 13, 14, 15, 16, 18, 21, 22, 23, 30, 51, 54, 61, 63, 64, 73, 75], "differ": [1, 2, 3, 7, 9, 10, 11, 12, 13, 15, 16, 18, 19, 23, 24, 28, 30, 48, 52, 53, 54, 58, 59, 64, 67, 73, 75, 77, 80], "test": [1, 9, 11, 12, 17, 18, 19, 23, 31, 36, 67, 73, 75], "cnot": [1, 5, 9, 41, 57, 61, 68, 79], "my_cnot": 1, "print": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 28, 30, 34, 37, 46, 51, 53, 54, 55, 59, 61, 63, 64, 65, 66, 67, 68, 69, 73, 79, 80], "500": [1, 23, 68, 80], "exact": [1, 9, 10, 13, 17, 21, 55], "random": [1, 2, 3, 4, 5, 8, 9, 13, 14, 16, 17, 18, 19, 21, 22, 23, 28, 30, 54, 55, 67], "construct": [1, 2, 8, 9, 10, 12, 17, 18, 20, 23, 28, 30, 31, 32, 34, 35, 36, 38, 46, 48, 51, 54, 57, 58, 59, 61, 62, 65, 69, 81], "second": [1, 2, 3, 4, 7, 8, 9, 12, 14, 18, 20, 46, 51, 53, 55, 59, 61, 64], "1j": [1, 12, 13], "xy": [1, 30], "kron": [1, 18], "my_xi": 1, "custom_xy_test": 1, "undo": 1, "prior": [1, 55, 64, 68, 73, 75, 80], "1000": [1, 3, 9, 11, 13, 17, 18, 21, 24, 26, 34, 52, 55, 59, 65, 67, 68, 80], "mycnot": 1, "myxi": 1, "hardwar": [1, 9, 15, 19, 21, 24, 31, 32, 50, 55, 59, 62, 79, 81], "synthes": [1, 3, 21, 41, 45, 69], "current": [1, 2, 3, 9, 30, 32, 34, 44, 52, 54, 55, 72, 75, 79, 81], "orca": [1, 2, 32, 50, 81], "which": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 26, 28, 30, 32, 34, 36, 39, 42, 46, 48, 51, 52, 54, 55, 61, 63, 64, 65, 67, 68, 69, 72, 73, 75, 76, 79, 81], "doe": [1, 2, 3, 7, 9, 15, 16, 21, 30, 32, 34, 38, 46, 51, 53, 54, 73, 75, 77, 79, 80, 81], "increment": [1, 2, 67], "qumod": 1, "up": [1, 2, 3, 7, 9, 14, 15, 17, 21, 30, 36, 42, 51, 52, 55, 58, 63, 64, 67, 69, 72, 75], "maximum": [1, 3, 8, 9, 21, 55], "valu": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 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34, 46, 54, 79], "observ": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 18, 20, 22, 23, 26, 28, 37, 51, 52, 54, 55, 56, 58, 63, 65, 66, 67, 68, 72, 80], "call": [2, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 15, 19, 21, 22, 23, 24, 26, 28, 30, 36, 37, 38, 41, 45, 51, 54, 55, 58, 59, 61, 64, 65, 66, 67, 68, 69, 72, 73, 75, 77], "measur": [2, 3, 5, 7, 9, 10, 11, 12, 13, 15, 16, 18, 23, 24, 26, 31, 34, 35, 37, 38, 39, 41, 48, 51, 52, 54, 55, 57, 58, 59, 62, 64, 65, 69, 72, 80], "execut": [2, 4, 9, 13, 15, 21, 30, 31, 32, 33, 34, 36, 38, 39, 44, 45, 51, 52, 54, 55, 58, 59, 60, 62, 63, 64, 65, 67, 69, 72, 75, 76, 77, 79, 80, 81], "ansatz": [2, 4, 6, 9, 13, 14, 22, 23, 34, 37, 53, 54, 63], "circuit": [2, 3, 5, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 28, 33, 34, 38, 39, 42, 43, 47, 48, 52, 53, 54, 55, 58, 59, 61, 63, 64, 69, 71], "global": [2, 3, 9, 14, 21, 34, 38, 53, 59, 64, 73], "expect": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 18, 20, 21, 22, 23, 24, 26, 28, 31, 34, 51, 53, 54, 55, 59, 62, 67, 73, 75, 79, 80], "h": [2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 28, 30, 34, 36, 37, 41, 42, 43, 45, 46, 48, 51, 52, 53, 54, 55, 57, 59, 61, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73, 75, 77, 79, 80], "precomput": 2, "psi": [2, 6, 7, 10, 12, 16, 24, 30, 34, 37, 59, 68], "sample_result": [2, 3, 19, 24, 34, 64, 79], "wa": [2, 3, 4, 7, 9, 12, 21, 34, 54, 55, 65, 69, 73, 76, 80], "shot": [2, 3, 8, 9, 10, 17, 18, 19, 24, 34, 37, 52, 55, 59, 64, 65, 68, 72], "base": [2, 3, 8, 9, 11, 13, 15, 18, 19, 21, 23, 27, 32, 33, 34, 36, 40, 41, 46, 51, 52, 53, 54, 55, 59, 67, 69, 72, 73, 75, 77, 81], "raw_data": [2, 9, 34], "raw": [2, 3, 9], "convers": [2, 34], "simpli": [2, 30, 68, 75, 80], "ignor": [2, 9, 19, 55], "fine": [2, 34, 65, 66, 68], "grain": [2, 34, 65, 66], "explicitli": [2, 9, 10, 48, 52, 55, 69, 77, 79], "request": [2, 3, 34, 52, 53, 54, 55, 64, 75], "oppos": [2, 79], "observe_data": 2, "spinoptyp": [2, 34], "sub": [2, 3, 33, 34, 37, 38, 46, 47, 51, 75], "id_coeffici": [2, 34], "observe_opt": [2, 34], "option": [2, 3, 4, 7, 9, 10, 12, 13, 17, 18, 22, 23, 24, 28, 29, 34, 36, 41, 44, 51, 52, 53, 54, 59, 63, 64, 66, 67, 72, 73, 75], "async_observ": 2, "param": [2, 4, 13, 14, 17, 37, 38, 41, 53, 67], "run": [2, 3, 5, 7, 8, 9, 11, 12, 17, 18, 23, 24, 31, 32, 33, 34, 37, 51, 52, 53, 54, 55, 56, 58, 63, 64, 65, 66, 67, 69, 72, 73, 75, 76, 79, 80, 81], "applic": [2, 4, 5, 7, 9, 10, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 27, 31, 34, 41, 45, 52, 55, 58, 59, 61, 62, 75, 76, 79, 80], "num_trajectori": [2, 3, 55], "trajectori": [2, 3], "presenc": 2, "simul": [2, 4, 6, 8, 10, 12, 17, 18, 19, 23, 24, 28, 29, 30, 31, 32, 33, 34, 50, 51, 52, 56, 58, 59, 62, 64, 65, 67, 69, 70, 73, 80, 81], "noisi": [2, 17, 18, 21, 31, 62, 64], "quantumkernel": [2, 34, 45], "arg": [2, 3, 9, 11, 15, 18, 34, 36, 41, 45, 51, 54, 59, 69, 75], "is_invocable_r_v": 2, "member": [2, 3, 14, 38], "conveni": [2, 15, 27, 42, 48, 73, 75], "what": [2, 3, 4, 8, 9, 10, 14, 16, 18, 19, 23, 30, 31, 32, 56, 67, 72, 79, 81], "": [2, 3, 4, 5, 9, 10, 12, 14, 15, 16, 17, 18, 20, 21, 23, 24, 26, 28, 30, 31, 32, 34, 41, 44, 48, 51, 52, 53, 54, 55, 57, 58, 59, 63, 64, 65, 66, 67, 69, 71, 73, 75, 76, 77, 80, 81], "spinopcontain": 2, "termlist": 2, "everi": [2, 3, 14, 17, 18, 20, 32, 53, 54, 58, 59, 64, 65, 73, 80, 81], "concept": [2, 33, 34, 38, 40], "executioncontext": 2, "abstract": [2, 3, 27, 33, 34, 36, 41, 42, 44, 46, 54, 58], "how": [2, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 27, 28, 30, 32, 34, 36, 41, 51, 53, 54, 55, 58, 59, 61, 62, 64, 65, 66, 67, 69, 72, 73, 75, 76, 79, 80, 81], "shots_": 2, "basic": [2, 6, 31, 53, 61, 75, 80], "invoc": [2, 3, 36, 38, 44, 46, 54, 55, 72], "expectationvalu": 2, "nullopt": 2, "optimization_result": [2, 34], "optresult": 2, "optim": [2, 4, 6, 8, 9, 11, 12, 13, 14, 18, 19, 23, 31, 32, 33, 43, 46, 48, 51, 52, 53, 55, 62, 69, 71, 73, 75, 81], "hasconditionalsonmeasureresult": 2, "fals": [2, 3, 4, 8, 9, 12, 13, 16, 17, 19, 20, 21, 73, 75], "being": [2, 3, 5, 6, 16, 26, 33, 34, 48, 55, 64, 79], "statement": [2, 7, 25, 34, 35, 58], "noise_model": [2, 3, 13, 17, 18, 26, 55], "noisemodel": [2, 3, 13, 17, 18, 26, 55], "nullptr": 2, "canhandleobserv": 2, "flag": [2, 13, 32, 38, 51, 52, 54, 55, 64, 69, 71, 75, 79, 81], "handl": [2, 3, 7, 9, 20, 52, 53, 54, 55, 64, 72, 75, 79], "task": [2, 5, 9, 13, 21, 24, 30, 34, 42, 54, 55, 59, 69, 72], "under": [2, 3, 13, 18, 21, 32, 51, 52, 71, 72, 73, 75, 79, 81], "asyncexec": 2, "occur": [2, 3, 7, 9, 12, 18, 25, 34, 39, 64, 68, 75], "asynchron": [2, 3, 10, 12, 13, 24, 34, 44, 54, 59, 64, 67], "detail": [2, 3, 4, 8, 10, 13, 14, 17, 32, 33, 39, 51, 52, 53, 55, 72, 73, 75, 80, 81], "futur": [2, 3, 34, 50, 52, 54, 55, 64, 73, 75], "futureresult": 2, "store": [2, 3, 4, 12, 13, 16, 20, 39, 46, 54, 59, 64, 67, 68, 69], "async_result": [2, 64], "asyncresult": [2, 67], "async_sample_result": [2, 34, 54], "so": [2, 5, 8, 9, 10, 12, 13, 14, 16, 17, 18, 19, 21, 23, 28, 30, 32, 34, 51, 52, 54, 55, 65, 68, 69, 71, 72, 73, 75, 79, 80, 81], "boundari": [2, 11], "unique_ptr": 2, "simulationst": 2, "pointer": [2, 3, 79], "amplitudemap": 2, "amplitud": [2, 3, 5, 15, 17, 21, 51, 52, 54, 61, 64, 67, 68], "overlapcomputest": 2, "overlap": [2, 3, 12, 54], "overlapresult": 2, "trace": [2, 3, 16, 21, 26, 53], "kerneltrac": 2, "tracer": 2, "persist": [2, 34, 39, 53, 75], "resourc": [2, 4, 19, 23, 28, 44, 53, 54, 55, 59, 73, 75], "kernelnam": [2, 3], "batchiter": 2, "batch": [2, 28, 39, 55], "observe_n": 2, "sample_n": 2, "totaliter": 2, "registernam": [2, 34], "mid": [2, 3, 55], "mode": [2, 3, 9, 24, 32, 37, 39, 51, 52, 64, 69, 73, 81], "keep": [2, 5, 18, 34, 55], "track": [2, 34, 55, 68], "reorderidx": 2, "inform": [2, 3, 5, 7, 9, 12, 13, 16, 19, 21, 23, 27, 32, 34, 39, 41, 44, 46, 52, 53, 54, 55, 59, 64, 67, 68, 69, 73, 75, 77, 78, 80, 81], "reorder": 2, "after": [2, 3, 4, 7, 9, 13, 16, 30, 34, 52, 59, 61, 64, 69, 73, 75], "empti": [2, 3, 12, 36, 42, 55, 64, 75], "mean": [2, 3, 5, 13, 15, 16, 17, 21, 23, 41, 48, 55, 64, 67, 75, 80], "char": [2, 37, 54, 59, 73, 79, 80], "invocationresultbuff": 2, "buffer": [2, 54, 79], "note": [2, 3, 9, 10, 14, 16, 18, 19, 20, 21, 24, 30, 32, 37, 39, 48, 52, 53, 54, 59, 61, 64, 68, 69, 73, 75, 79, 81], "need": [2, 3, 4, 5, 9, 13, 14, 15, 18, 19, 23, 24, 26, 30, 48, 51, 52, 53, 54, 55, 59, 63, 64, 67, 72, 73, 75, 76, 79], "abl": [2, 9, 13, 24, 34, 52, 53, 54, 59, 75, 79, 80], "numbertrajectori": 2, "calcul": [2, 3, 5, 6, 7, 9, 11, 16, 19, 21, 24, 28, 53, 54, 55, 59, 64, 67], "job": [2, 13, 14, 34, 52, 53, 54, 64, 75], "qpu": [2, 3, 10, 12, 13, 23, 24, 28, 31, 32, 33, 34, 39, 44, 52, 54, 55, 58, 59, 63, 64, 67, 72, 79, 80, 81], "extra": [2, 11, 12, 41, 48, 52], "configur": [2, 8, 9, 13, 22, 44, 52, 53, 54, 55, 64, 67, 69, 72, 73, 75, 76, 79, 80], "later": [2, 7, 9, 12, 13, 16, 17, 34, 38, 54, 64, 73, 75], "server": [2, 52, 54, 64, 75], "file": [2, 4, 9, 13, 34, 41, 52, 53, 54, 59, 60, 64, 67, 69, 71, 72, 73, 75, 76, 77, 79, 80], "read": [2, 3, 13, 14, 19, 61, 64], "wrap": [2, 34, 36, 48, 51], "t": [2, 3, 4, 7, 10, 15, 20, 21, 30, 32, 34, 37, 38, 41, 42, 51, 53, 55, 61, 64, 65, 68, 73, 75, 81], "case": [2, 3, 7, 8, 9, 12, 14, 15, 16, 17, 18, 23, 25, 26, 28, 34, 48, 51, 55, 57, 61, 63, 73, 77, 79], "must": [2, 3, 7, 13, 17, 18, 19, 23, 24, 33, 34, 38, 40, 43, 46, 48, 51, 52, 55, 64, 68, 71, 72, 73, 75, 79, 80], "some": [2, 4, 8, 9, 11, 13, 15, 16, 17, 19, 20, 23, 25, 29, 32, 34, 48, 53, 54, 55, 68, 69, 71, 72, 73, 75, 76, 79, 80, 81], "point": [2, 3, 9, 15, 30, 34, 38, 41, 54, 55, 69, 72, 73, 75], "same": [2, 3, 7, 9, 12, 13, 14, 15, 16, 17, 18, 21, 23, 28, 30, 34, 48, 52, 54, 59, 64, 66, 67, 69, 72, 73, 75, 79], "runtim": [2, 9, 33, 34, 36, 39, 52, 53, 54, 55, 63, 69, 72, 75, 77], "_job": 2, "qpunamein": 2, "config": [2, 4, 55, 72, 73, 75, 80], "info": [2, 21, 53, 55, 60, 69], "requir": [2, 3, 4, 7, 8, 9, 10, 11, 13, 15, 16, 19, 21, 23, 28, 30, 34, 38, 40, 41, 43, 45, 46, 48, 51, 52, 53, 54, 55, 64, 67, 68, 73, 76, 80], "date": 2, "even": [2, 7, 9, 14, 17, 19, 24, 32, 55, 73, 75, 79, 81], "face": [2, 21, 40], "itself": [2, 45, 48, 54, 73, 75], "collect": [2, 3, 4, 8, 12, 13, 16, 59], "pertin": [2, 34, 40, 45, 46], "remot": [2, 3, 34, 39, 50, 53, 55, 60, 67], "rest": [2, 3, 5, 13, 16, 17, 33, 52, 54, 55, 64, 73, 75, 79], "wait": [2, 3, 9, 13, 24, 53, 54, 59, 64], "until": [2, 3, 9, 13, 17, 21, 24, 59, 64], "readi": [2, 19, 22, 64, 75], "executionresult": 2, "correspond": [2, 3, 4, 6, 8, 9, 10, 12, 13, 14, 20, 21, 23, 27, 28, 34, 52, 64, 65, 73, 75, 77], "well": [2, 3, 5, 10, 12, 13, 18, 19, 20, 27, 32, 34, 37, 39, 51, 55, 72, 75, 76, 79, 81], "integ": [2, 3, 12, 14, 17, 24, 31, 38, 44, 54, 55, 59, 61, 67], "1st": [2, 16, 26], "bitstr": [2, 3, 5, 9, 14, 17, 34], "m": [2, 4, 8, 9, 10, 12, 18, 30, 37, 42, 54, 55, 64, 67, 69, 73, 75, 79, 80], "tripl": [2, 69], "long": [2, 24, 34, 37, 59, 73, 75, 79, 80], "length": [2, 5, 18, 64], "deseri": [2, 3], "discuss": [2, 9, 16, 28, 71], 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"ghz-state-preparation-and-sampling"]], "Quantum Phase Estimation": [[37, "quantum-phase-estimation"]], "Deuteron Binding Energy Parameter Sweep": [[37, "deuteron-binding-energy-parameter-sweep"]], "Grover\u2019s Algorithm": [[37, "grover-s-algorithm"]], "Iterative Phase Estimation": [[37, "iterative-phase-estimation"]], "Quantum Intrinsic Operations": [[41, "quantum-intrinsic-operations"]], "Operations on cudaq::qubit": [[41, "operations-on-cudaq-qubit"]], "Namespace and Standard": [[40, "namespace-and-standard"]], "Quantum Platform": [[44, "quantum-platform"]], "Common Quantum Programming Patterns": [[43, "common-quantum-programming-patterns"]], "Compute-Action-Uncompute": [[43, "compute-action-uncompute"]], "Quantum Operators": [[42, "quantum-operators"]], "cudaq::spin_op": [[42, "cudaq-spin-op"]], "Quake Dialect": [[48, "quake-dialect"]], "General Introduction": [[48, "general-introduction"]], "Motivation": [[48, "motivation"]], "Specifications": [[47, "specifications"]], "Quantum Types": [[46, "quantum-types"]], "cudaq::qudit": [[46, "cudaq-qudit-levels"]], "cudaq::qubit": [[46, "cudaq-qubit"]], "Quantum Containers": [[46, "quantum-containers"]], "cudaq::qview": [[46, "cudaq-qview-levels-2"]], "cudaq::qvector": [[46, "cudaq-qvector-levels-2"]], "cudaq::qarray": [[46, "cudaq-qarray-n-levels-2"]], "cudaq::qspan (Deprecated. Use cudaq::qview instead.)": [[46, "cudaq-qspan-n-levels-deprecated-use-cudaq-qview-levels-instead"]], "cudaq::qreg (Deprecated. Use cudaq::qvector instead.)": [[46, "cudaq-qreg-n-levels-deprecated-use-cudaq-qvector-levels-instead"]], "CUDA-Q Applications": [[49, "cuda-q-applications"]], "Sub-circuit Synthesis": [[45, "sub-circuit-synthesis"]], "Troubleshooting": [[60, "troubleshooting"]], "Debugging and Verbose Simulation Output": [[60, "debugging-and-verbose-simulation-output"]], "Building Kernels": [[61, "building-kernels"]], "Computing Expectation Values": [[63, "computing-expectation-values"]], "Parallelizing across Multiple Processors": [[63, "parallelizing-across-multiple-processors"]], "Using Quantum Hardware Providers": [[64, "using-quantum-hardware-providers"]], "Amazon Braket": [[64, "amazon-braket"], [52, "amazon-braket"]], "Infleqtion": [[64, "infleqtion"], [52, "infleqtion"]], "IonQ": [[64, "ionq"], [52, "ionq"]], "IQM": [[64, "iqm"], [52, "iqm"]], "OQC": [[64, "oqc"], [52, "oqc"]], "ORCA Computing": [[64, "orca-computing"], [52, "orca-computing"]], "Quantinuum": [[64, "quantinuum"], [52, "quantinuum"]], "QuEra Computing": [[64, "quera-computing"], [52, "quera-computing"]], "CUDA-Q by Example": [[62, "cuda-q-by-example"]], "Multi-control Synthesis": [[66, "multi-control-synthesis"]], "Working with the CUDA-Q IR": [[69, "working-with-the-cuda-q-ir"]], "Multi-GPU Workflows": [[67, "multi-gpu-workflows"]], "Available Targets": [[67, "available-targets"]], "Parallelization across Multiple Processors": [[67, "parallelization-across-multiple-processors"]], "Batching Hamiltonian Terms": [[67, "batching-hamiltonian-terms"]], "Circuit Batching": [[67, "circuit-batching"]], "Introduction": [[65, "introduction"], [75, "introduction"]], "Quantum Computing 101": [[68, "quantum-computing-101"]], "Quantum States": [[68, "quantum-states"]], "Quantum Gates": [[68, "quantum-gates"]], "Measurements": [[68, "measurements"], [25, "Measurements"]], "Create your own CUDA-Q Compiler Pass": [[71, "create-your-own-cuda-q-compiler-pass"]], "Installation from Source": [[73, "installation-from-source"]], "Prerequisites": [[73, "prerequisites"]], "Build Dependencies": [[73, "build-dependencies"]], "CUDA": [[73, "cuda"]], "Toolchain": [[73, "toolchain"]], "Building CUDA-Q": [[73, "building-cuda-q"]], "Python Support": [[73, "python-support"]], "C++ Support": [[73, "c-support"]], "Installation on the Host": [[73, "installation-on-the-host"]], "CUDA Runtime Libraries": [[73, "cuda-runtime-libraries"]], "MPI": [[73, "mpi"]], "Extending CUDA-Q": [[70, "extending-cuda-q"]], "Installation Guide": [[74, "installation-guide"]], "Contents": [[74, null], [56, null], [31, null]], "Extending CUDA-Q with a new Simulator": [[72, "extending-cuda-q-with-a-new-simulator"]], "CircuitSimulator": [[72, "circuitsimulator"]], "Required Circuit Simulator Subtype Method Overrides": [[72, "id1"]], "Let\u2019s see this in action": [[72, "let-s-see-this-in-action"]], "Using CUDA and CUDA-Q in a Project": [[77, "using-cuda-and-cuda-q-in-a-project"]], "Integration with other Software Tools": [[78, "integration-with-other-software-tools"]], "CUDA-Q and CMake": [[76, "cuda-q-and-cmake"]], "Integrating with Third-Party Libraries": [[79, "integrating-with-third-party-libraries"]], "Calling a CUDA-Q library from C++": [[79, "calling-a-cuda-q-library-from-c"]], "Calling an C++ library from CUDA-Q": [[79, "calling-an-c-library-from-cuda-q"]], "Interfacing between binaries compiled with a different toolchains": [[79, "interfacing-between-binaries-compiled-with-a-different-toolchains"]], "Local Installation": [[75, "local-installation"]], "Docker": [[75, "docker"]], "Singularity": [[75, "singularity"]], "Python wheels": [[75, "python-wheels"]], "Pre-built binaries": [[75, "pre-built-binaries"]], "Development with VS Code": [[75, "development-with-vs-code"]], "Using a Docker container": [[75, "using-a-docker-container"]], "Using a Singularity container": [[75, "using-a-singularity-container"]], "Connecting to a Remote Host": [[75, "connecting-to-a-remote-host"]], "Developing with Remote Tunnels": [[75, "developing-with-remote-tunnels"]], "Remote Access via SSH": [[75, "remote-access-via-ssh"]], "DGX Cloud": [[75, "dgx-cloud"]], "Get Started": [[75, "get-started"]], "Use JupyterLab": [[75, "use-jupyterlab"]], "Use VS Code": [[75, "use-vs-code"]], "Additional CUDA Tools": [[75, "additional-cuda-tools"]], "Installation via PyPI": [[75, "installation-via-pypi"]], "Installation In Container Images": [[75, "installation-in-container-images"]], "Installing Pre-built Binaries": [[75, "installing-pre-built-binaries"]], "Distributed Computing with MPI": [[75, "distributed-computing-with-mpi"]], "Updating CUDA-Q": [[75, "updating-cuda-q"]], "Dependencies and Compatibility": [[75, "dependencies-and-compatibility"]], "Supported Systems": [[75, "id10"]], "Requirements for GPU Simulation": [[75, "id11"]], "Next Steps": [[75, "next-steps"]], "Running your first CUDA-Q Program": [[59, "running-your-first-cuda-q-program"]], "Sample": [[59, "sample"], [24, "Sample"]], "Observe": [[59, "observe"], [24, "Observe"]], "Running on a GPU": [[59, "running-on-a-gpu"]], "CUDA-Q Simulation Backends": [[55, "cuda-q-simulation-backends"]], "State Vector Simulators": [[55, "state-vector-simulators"]], "Features": [[55, "features"]], "Single-GPU": [[55, "single-gpu"]], "Environment variable options supported in single-GPU mode": [[55, "id4"]], "Multi-node multi-GPU": [[55, "multi-node-multi-gpu"], [55, "id2"]], "Additional environment variable options for multi-node multi-GPU mode": [[55, "id5"]], "Trajectory Noisy Simulation": [[55, "trajectory-noisy-simulation"]], "Additional environment variable options for trajectory simulation": [[55, "id6"]], "OpenMP CPU-only": [[55, "openmp-cpu-only"]], "Tensor Network Simulators": [[55, "tensor-network-simulators"]], "Matrix product state": [[55, "matrix-product-state"]], "Clifford-Only Simulator": [[55, "clifford-only-simulator"]], "Stim (CPU)": [[55, "stim-cpu"]], "Fermioniq": [[55, "fermioniq"]], "Default Simulator": [[55, "default-simulator"]], "Building your first CUDA-Q Program": [[57, "building-your-first-cuda-q-program"]], "CUDA-Q Basics": [[56, "cuda-q-basics"]], "What is a CUDA-Q kernel?": [[58, "what-is-a-cuda-q-kernel"]], "Quick Start": [[80, "quick-start"], [53, "quick-start"], [51, "quick-start"]], "Install CUDA-Q": [[80, "install-cuda-q"]], "Validate your Installation": [[80, "validate-your-installation"]], "CUDA-Q Versions": [[81, "cuda-q-versions"]], "NVIDIA Quantum Cloud": [[53, "nvidia-quantum-cloud"]], "Simulator Backend Selection": [[53, "simulator-backend-selection"]], "Multiple GPUs": [[53, "multiple-gpus"]], "Simulator Backends": [[53, "id1"]], "Multiple QPUs Asynchronous Execution": [[53, "multiple-qpus-asynchronous-execution"]], "FAQ": [[53, "faq"]], "CUDA-Q Hardware Backends": [[52, "cuda-q-hardware-backends"]], "Setting Credentials": [[52, "setting-credentials"], [52, "id1"], [52, "ionq-backend"], [52, "anyon-backend"], [52, "id10"], [52, "id13"], [52, "id16"], [52, "quantinuum-backend"], [52, "quera-backend"]], "Submission from C++": [[52, "submission-from-c"], [52, "id2"], [52, "id5"], [52, "id8"], [52, "id11"], [52, "id14"], [52, "id17"], [52, "id20"], [52, "id23"]], "Submission from Python": [[52, "submission-from-python"], [52, "id3"], [52, "id6"], [52, "id9"], [52, "id12"], [52, "id15"], [52, "id18"], [52, "id21"], [52, "id24"]], "Anyon Technologies/Anyon Computing": [[52, "anyon-technologies-anyon-computing"]], "CUDA-Q Dynamics": [[51, "cuda-q-dynamics"]], "Operator": [[51, "operator"]], "Builtin Operators": [[51, "id1"]], "Time-Dependent Dynamics": [[51, "time-dependent-dynamics"]], "Numerical Integrators": [[51, "numerical-integrators"], [51, "id2"]], "CUDA-Q Backends": [[50, "cuda-q-backends"]], "Backend Targets": [[50, null]], "Multi-Processor Platforms": [[54, "multi-processor-platforms"]], "NVIDIA MQPU Platform": [[54, "nvidia-mqpu-platform"]], "Parallel distribution mode": [[54, "parallel-distribution-mode"]], "Remote MQPU Platform": [[54, "remote-mqpu-platform"]], "Supported Kernel Arguments": [[54, "supported-kernel-arguments"]], "Kernel argument serialization": [[54, "id4"]], "Accessing Simulated Quantum State": [[54, "accessing-simulated-quantum-state"]], "Language Specification": [[33, "language-specification"]], "CUDA-Q": [[33, null], [31, "cuda-q"]], "Quantum Algorithmic Primitives": [[34, "quantum-algorithmic-primitives"]], "cudaq::sample": [[34, "cudaq-sample"]], "cudaq::observe": [[34, "cudaq-observe"]], "cudaq::optimizer (deprecated, functionality moved to CUDA-Q libraries)": [[34, "cudaq-optimizer-deprecated-functionality-moved-to-cuda-q-libraries"]], "cudaq::gradient (deprecated, functionality moved to CUDA-Q libraries)": [[34, "cudaq-gradient-deprecated-functionality-moved-to-cuda-q-libraries"]], "Visualization": [[30, "Visualization"]], "Qubit Visualization": [[30, "Qubit-Visualization"]], "Kernel Visualization": [[30, "Kernel-Visualization"]], "CUDA-Q Releases": [[32, "cuda-q-releases"]], "Optimizers and Gradients": [[28, "Optimizers-and-Gradients"]], "Built in CUDA-Q Optimizers and Gradients": [[28, "Built-in-CUDA-Q-Optimizers-and-Gradients"]], "Third-Party Optimizers": [[28, "Third-Party-Optimizers"]], "Parallel Parameter Shift Gradients": [[28, "Parallel-Parameter-Shift-Gradients"], [23, "Parallel-Parameter-Shift-Gradients"]], "Midcircuit Measurement and Conditional Logic": [[25, "Midcircuit-Measurement-and-Conditional-Logic"]], "Optimizing Performance": [[29, "Optimizing-Performance"]], "Gate Fusion": [[29, "Gate-Fusion"]], "Noisy Simulation": [[26, "Noisy-Simulation"], [3, "noisy-simulation"]], "Operators": [[27, "Operators"], [2, "operators"]], "Constructing Spin Operators": [[27, "Constructing-Spin-Operators"]], "Pauli Words and Exponentiating Pauli Words": [[27, "Pauli-Words-and-Exponentiating-Pauli-Words"]], "Bernstein-Vazirani Algorithm": [[5, "Bernstein-Vazirani-Algorithm"]], "Classical case": [[5, "Classical-case"]], "Quantum case": [[5, "Quantum-case"]], "Implementing in CUDA-Q": [[5, "Implementing-in-CUDA-Q"]], "Cost Minimization": [[6, "Cost-Minimization"]], "Divisive Clustering With Coresets Using CUDA-Q": [[9, "Divisive-Clustering-With-Coresets-Using-CUDA-Q"]], "Data preprocessing": [[9, "Data-preprocessing"]], "Quantum functions": [[9, "Quantum-functions"]], "Divisive Clustering Function": [[9, "Divisive-Clustering-Function"]], "QAOA Implementation": [[9, "QAOA-Implementation"]], "Scaling simulations with CUDA-Q": [[9, "Scaling-simulations-with-CUDA-Q"]], "Molecular docking via DC-QAOA": [[8, "Molecular-docking-via-DC-QAOA"]], "Setting up the Molecular Docking Problem": [[8, "Setting-up-the-Molecular-Docking-Problem"]], "CUDA-Q Implementation": [[8, "CUDA-Q-Implementation"]], "Deutsch\u2019s Algorithm": [[7, "Deutsch's-Algorithm"]], "XOR \\oplus": [[7, "XOR-\\oplus"]], "Quantum oracles": [[7, "Quantum-oracles"]], "Phase oracle": [[7, "Phase-oracle"]], "Quantum parallelism": [[7, "Quantum-parallelism"]], "Deutsch\u2019s Algorithm:": [[7, "Deutsch's-Algorithm:"]], "Using the Hadamard Test to Determine Quantum Krylov Subspace Decomposition Matrix Elements": [[10, "Using-the-Hadamard-Test-to-Determine-Quantum-Krylov-Subspace-Decomposition-Matrix-Elements"]], "Numerical result as a reference:": [[10, "Numerical-result-as-a-reference:"]], "Using Sample to perform the Hadamard test": [[10, "Using-Sample-to-perform-the-Hadamard-test"]], "Multi-GPU evaluation of QKSD matrix elements using the Hadamard Test": [[10, "Multi-GPU-evaluation-of-QKSD-matrix-elements-using-the-Hadamard-Test"]], "Classically Diagonalize the Subspace Matrix": [[10, "Classically-Diagonalize-the-Subspace-Matrix"]], "Hybrid Quantum Neural Networks": [[11, "Hybrid-Quantum-Neural-Networks"]], "Multi-reference Quantum Krylov Algorithm - H_2 Molecule": [[12, "Multi-reference-Quantum-Krylov-Algorithm---H_2-Molecule"]], "Setup": [[12, "Setup"]], "Computing the matrix elements": [[12, "Computing-the-matrix-elements"]], "Determining the ground state energy of the subspace": [[12, "Determining-the-ground-state-energy-of-the-subspace"]], "Anderson Impurity Model ground state solver on Infleqtion\u2019s Sqale": [[13, "Anderson-Impurity-Model-ground-state-solver-on-Infleqtion's-Sqale"]], "Performing logical Variational Quantum Eigensolver (VQE) with CUDA-QX": [[13, "Performing-logical-Variational-Quantum-Eigensolver-(VQE)-with-CUDA-QX"]], "Constructing circuits in the [[4,2,2]] encoding": [[13, "Constructing-circuits-in-the-[[4,2,2]]-encoding"]], "Setting up submission and decoding workflow": [[13, "Setting-up-submission-and-decoding-workflow"]], "Running a CUDA-Q noisy simulation": [[13, "Running-a-CUDA-Q-noisy-simulation"]], "Running logical AIM on Infleqtion\u2019s hardware": [[13, "Running-logical-AIM-on-Infleqtion's-hardware"]], "Max-Cut with QAOA": [[14, "Max-Cut-with-QAOA"]], "Factoring Integers With Shor\u2019s Algorithm": [[19, "Factoring-Integers-With-Shor's-Algorithm"]], "Shor\u2019s algorithm": [[19, "Shor's-algorithm"]], "Solving the order-finding problem classically": [[19, "Solving-the-order-finding-problem-classically"]], "Solving the order-finding problem with a quantum algorithm": [[19, "Solving-the-order-finding-problem-with-a-quantum-algorithm"]], "Inverse quantum Fourier transform": [[19, "Inverse-quantum-Fourier-transform"]], "Quantum kernels for modular exponentiation": [[19, "Quantum-kernels-for-modular-exponentiation"]], "The case N = 21 and a = 5:": [[19, "The-case-N-=-21-and-a-=-5:"]], "The case N = 21 and a = 4:": [[19, "The-case-N-=-21-and-a-=-4:"]], "Determining the order from the measurement results of the phase kernel": [[19, "Determining-the-order-from-the-measurement-results-of-the-phase-kernel"]], "Postscript": [[19, "Postscript"]], "Readout Error Mitigation": [[18, "Readout-Error-Mitigation"]], "Inverse confusion matrix from single-qubit noise model": [[18, "Inverse-confusion-matrix-from-single-qubit-noise-model"]], "Inverse confusion matrix from k local confusion matrices": [[18, "Inverse-confusion-matrix-from-k-local-confusion-matrices"]], "Inverse of full confusion matrix": [[18, "Inverse-of-full-confusion-matrix"]], "Quantum Fourier Transform": [[15, "Quantum-Fourier-Transform"]], "Quantum Fourier Transform revisited": [[15, "Quantum-Fourier-Transform-revisited"]], "Quantum Volume": [[17, "Quantum-Volume"]], "Quantum Teleporation": [[16, "Quantum-Teleporation"]], "Teleportation explained": [[16, "Teleportation-explained"]], "Executing Quantum Circuits": [[24, "Executing-Quantum-Circuits"]], "Get state": [[24, "Get-state"]], "Parallelization Techniques": [[24, "Parallelization-Techniques"]], "Observe Async": [[24, "Observe-Async"]], "Sample Async": [[24, "Sample-Async"]], "Get State Async": [[24, "Get-State-Async"]], "Variational Quantum Eigensolver": [[22, "Variational-Quantum-Eigensolver"]], "Using CUDA-Q Optimizers": [[22, "Using-CUDA-Q-Optimizers"]], "Integration with Third-Party Optimizers": [[22, "Integration-with-Third-Party-Optimizers"]], "Computing Magnetization With The Suzuki-Trotter Approximation": [[20, "Computing-Magnetization-With-The-Suzuki-Trotter-Approximation"]], "Problem Setup": [[20, "Problem-Setup"]], "Running the Simulation": [[20, "Running-the-Simulation"]], "Compiling Unitaries Using Diffusion Models": [[21, "Compiling-Unitaries-Using-Diffusion-Models"]], "Diffusion model pipeline": [[21, "Diffusion-model-pipeline"]], "Setup and compilation": [[21, "Setup-and-compilation"]], "Load model": [[21, "Load-model"]], "Unitary compilation": [[21, "Unitary-compilation"]], "Convert tensors to CUDA-Q": [[21, "Convert-tensors-to-CUDA-Q"]], "Evaluate generated circuits": [[21, "Evaluate-generated-circuits"]], "Simulate kernels": [[21, "Simulate-kernels"]], "Compare unitaries": [[21, "Compare-unitaries"]], "Choosing the circuit you need": [[21, "Choosing-the-circuit-you-need"]], "VQE with gradients, active spaces, and gate fusion": [[23, "VQE-with-gradients,-active-spaces,-and-gate-fusion"]], "The Basics of VQE": [[23, "The-Basics-of-VQE"]], "Installing/Loading Relevant Packages": [[23, "Installing/Loading-Relevant-Packages"]], "Implementing VQE in CUDA-Q": [[23, "Implementing-VQE-in-CUDA-Q"]], "Using an Active Space": [[23, "Using-an-Active-Space"]], "Gate Fusion for Larger Circuits": [[23, "Gate-Fusion-for-Larger-Circuits"]], "CUDA-Q C++ API": [[2, "cuda-q-c-api"]], "Quantum": [[2, "quantum"]], "Common": [[2, "common"]], "Noise Modeling": [[2, "noise-modeling"]], "Kernel Builder": [[2, "kernel-builder"]], "Algorithms": [[2, "algorithms"]], "Platform": [[2, "platform"]], "Utilities": [[2, "utilities"]], "Namespaces": [[2, "namespaces"]], "Quantum Operations": [[1, "quantum-operations"]], "Unitary Operations on Qubits": [[1, "unitary-operations-on-qubits"]], "x": [[1, "x"]], "y": [[1, "y"]], "z": [[1, "z"]], "h": [[1, "h"]], "r1": [[1, "r1"]], "rx": [[1, "rx"]], "ry": [[1, "ry"]], "rz": [[1, "rz"]], "s": [[1, "s"]], "t": [[1, "t"]], "swap": [[1, "swap"]], "u3": [[1, "u3"]], "Adjoint and Controlled Operations": [[1, "adjoint-and-controlled-operations"]], "Measurements on Qubits": [[1, "measurements-on-qubits"]], "mz": [[1, "mz"], [1, "id1"]], "mx": [[1, "mx"]], "my": [[1, "my"]], "User-Defined Custom Operations": [[1, "user-defined-custom-operations"]], "Photonic Operations on Qudits": [[1, "photonic-operations-on-qudits"]], "create": [[1, "create"]], "annihilate": [[1, "annihilate"]], "phase_shift": [[1, "phase-shift"]], "beam_splitter": [[1, "beam-splitter"]], "Code documentation": [[0, "code-documentation"]], "CUDA-Q API": [[0, null]], "CUDA-Q Python API": [[3, "module-cudaq"]], "Program Construction": [[3, "program-construction"]], "Kernel Execution": [[3, "kernel-execution"]], "Dynamics": [[3, "dynamics"]], "Backend Configuration": [[3, "backend-configuration"]], "Data Types": [[3, "data-types"]], "Optimizers": [[3, "optimizers"]], "Gradients": [[3, "gradients"]], "MPI Submodule": [[3, 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80, 81], "depend": [1, 3, 7, 9, 12, 14, 16, 19, 20, 21, 25, 29, 31, 34, 39, 48, 53, 54, 55, 79, 80], "backend": [1, 2, 5, 6, 8, 9, 10, 13, 17, 23, 28, 29, 31, 32, 34, 51, 54, 59, 64, 67, 69, 72, 73, 75, 79, 80, 81], "architectur": [1, 2, 11, 31, 33, 39, 48, 52, 54, 64, 67, 68, 72, 73, 75, 80], "nvq": [1, 32, 34, 37, 52, 53, 54, 55, 59, 63, 64, 65, 66, 69, 72, 75, 76, 77, 79, 80, 81], "compil": [1, 2, 3, 9, 13, 31, 32, 33, 34, 37, 38, 39, 43, 45, 46, 52, 53, 54, 55, 59, 63, 64, 65, 66, 69, 72, 73, 75, 76, 77, 80, 81], "automat": [1, 3, 13, 23, 39, 52, 54, 55, 64, 73, 75, 79], "decompos": [1, 4, 17, 21], "appropri": [1, 2, 7, 8, 9, 15, 16, 33, 41, 54, 61, 73, 75], "The": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 21, 22, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 59, 61, 63, 64, 65, 67, 68, 69, 71, 72, 73, 75, 77, 79, 80, 81], "section": [1, 7, 8, 10, 13, 15, 19, 21, 23, 27, 29, 36, 54, 55, 61, 73, 75, 79, 80], "list": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 27, 28, 30, 32, 34, 38, 50, 51, 52, 53, 55, 61, 64, 67, 68, 73, 75, 79, 80, 81], "implement": [1, 2, 3, 4, 7, 10, 12, 14, 15, 16, 17, 19, 20, 21, 26, 33, 34, 39, 40, 41, 43, 45, 46, 48, 52, 55, 64, 65, 69, 71, 72, 73, 75, 79], "transform": [1, 4, 7, 11, 12, 21, 23, 31, 33, 37, 69, 71], "state": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 26, 30, 31, 32, 34, 38, 39, 41, 46, 48, 51, 52, 53, 57, 59, 61, 63, 64, 65, 67, 72, 73, 79, 80, 81], "ar": [1, 2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38, 39, 41, 43, 45, 46, 47, 48, 51, 52, 53, 54, 55, 58, 59, 61, 62, 63, 64, 65, 67, 68, 69, 72, 73, 75, 77, 79, 80, 81], "templat": [1, 2, 22, 34, 36, 37, 38, 41, 45, 46, 65, 69, 71, 72, 77, 79], "argument": [1, 2, 3, 7, 9, 14, 16, 18, 24, 25, 30, 34, 36, 38, 45, 46, 51, 52, 57, 59, 63, 66, 67, 69, 72, 75, 79], "allow": [1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 16, 20, 21, 23, 24, 28, 32, 34, 36, 38, 39, 51, 55, 57, 58, 59, 66, 67, 68, 69, 71, 75, 76, 81], "invok": [1, 2, 3, 34, 36, 38, 43, 52, 55, 65, 69, 79], "version": [1, 3, 4, 5, 11, 13, 14, 15, 19, 21, 24, 31, 32, 34, 43, 50, 51, 52, 53, 54, 55, 59, 69, 72, 73, 75, 76, 79, 80], "see": [1, 2, 3, 5, 6, 7, 8, 9, 15, 16, 17, 19, 21, 23, 29, 30, 32, 34, 36, 38, 46, 48, 50, 51, 52, 53, 54, 55, 57, 59, 65, 67, 68, 69, 71, 73, 75, 76, 77, 79, 80, 81], "addition": [1, 19, 32, 52, 75, 81], "overload": [1, 2, 3, 34, 41, 42, 46, 48], "broadcast": [1, 2, 3, 12, 14, 41], "singl": [1, 2, 3, 4, 5, 9, 12, 13, 15, 16, 17, 20, 22, 23, 29, 30, 34, 37, 38, 39, 41, 46, 51, 52, 53, 54, 59, 61, 63, 64, 65, 67, 68, 69, 79], "across": [1, 2, 3, 7, 10, 21, 23, 32, 41, 53, 54, 55, 64, 73, 75, 81], "vector": [1, 2, 3, 4, 6, 9, 10, 11, 12, 16, 17, 21, 30, 34, 36, 37, 38, 41, 44, 46, 48, 52, 53, 54, 61, 64, 65, 66, 67, 72, 73], "For": [1, 2, 3, 4, 5, 7, 9, 10, 13, 14, 15, 17, 18, 19, 21, 27, 30, 32, 34, 36, 41, 48, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 64, 66, 67, 68, 72, 73, 75, 77, 79, 80, 81], "exampl": [1, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 41, 47, 48, 51, 52, 53, 54, 55, 57, 59, 61, 63, 64, 65, 67, 68, 71, 72, 73, 75, 76, 77, 79, 80, 81], "cudaq": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 35, 36, 37, 38, 40, 43, 44, 45, 51, 52, 53, 54, 55, 57, 59, 61, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73, 75, 76, 79, 80], "qvector": [1, 2, 3, 5, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 30, 34, 37, 38, 41, 45, 53, 54, 55, 57, 59, 61, 63, 64, 66, 67, 68, 69, 79, 80], "flip": [1, 2, 3, 6, 13, 17, 18, 26, 55, 68], "each": [1, 2, 3, 5, 7, 8, 9, 12, 14, 15, 16, 17, 18, 20, 21, 23, 24, 28, 30, 32, 34, 36, 39, 44, 48, 51, 52, 53, 54, 55, 59, 64, 67, 68, 69, 73, 75, 79, 80, 81], "thi": [1, 2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 34, 36, 37, 38, 39, 40, 41, 43, 46, 48, 51, 52, 53, 54, 55, 57, 59, 60, 61, 63, 64, 65, 66, 67, 68, 69, 71, 73, 75, 76, 77, 79, 80, 81], "pauli": [1, 2, 3, 8, 9, 10, 12, 14, 16, 20, 24, 34, 42, 51, 59, 68], "matrix": [1, 2, 3, 4, 13, 14, 16, 17, 20, 21, 24, 26, 30, 31, 32, 50, 51, 53, 61, 68, 72, 81], "It": [1, 2, 4, 7, 9, 15, 16, 17, 18, 20, 23, 31, 32, 34, 41, 46, 48, 51, 54, 59, 61, 64, 68, 69, 72, 75, 77, 80, 81], "i": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 46, 48, 50, 51, 52, 53, 54, 55, 56, 59, 60, 61, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73, 75, 76, 77, 79, 80, 81], "also": [1, 2, 3, 7, 9, 13, 15, 18, 19, 21, 22, 24, 26, 28, 30, 32, 34, 38, 42, 51, 52, 53, 54, 55, 57, 58, 59, 61, 64, 67, 68, 69, 71, 72, 73, 75, 77, 80, 81], "known": [1, 2, 19, 21, 23, 38, 65, 69], "NOT": [1, 34, 41, 68], "gate": [1, 2, 3, 5, 6, 7, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 26, 30, 31, 32, 41, 45, 46, 48, 52, 55, 57, 61, 65, 66, 72, 81], "appli": [1, 2, 3, 5, 7, 8, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 23, 26, 27, 34, 37, 38, 41, 45, 48, 53, 54, 55, 57, 61, 64, 65, 66, 68, 69, 72], "0": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 32, 34, 36, 37, 38, 41, 42, 43, 44, 46, 48, 50, 51, 52, 53, 54, 55, 57, 59, 61, 63, 64, 65, 66, 67, 68, 69, 72, 73, 75, 77, 79, 80, 81], "1": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 48, 51, 52, 53, 54, 55, 57, 59, 60, 61, 63, 64, 65, 66, 67, 68, 69, 72, 73, 75, 79, 80, 81], "rotat": [1, 3, 9, 10, 13, 14, 15, 18, 19, 26, 30, 41, 42, 57, 63, 72], "\u03c0": 1, "about": [1, 2, 3, 7, 9, 18, 19, 20, 21, 22, 30, 32, 34, 48, 51, 52, 53, 54, 55, 58, 59, 64, 67, 73, 75, 77, 78, 79, 80, 81], "axi": [1, 11, 21, 22, 30], "enabl": [1, 2, 3, 5, 9, 13, 15, 24, 33, 34, 36, 38, 39, 41, 43, 44, 45, 46, 50, 51, 52, 54, 55, 58, 59, 63, 64, 67, 69, 72, 73, 75, 79, 80], "one": [1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 19, 20, 21, 23, 24, 30, 32, 34, 36, 37, 39, 41, 44, 48, 51, 52, 53, 54, 55, 60, 61, 63, 64, 66, 67, 68, 69, 71, 72, 73, 75, 79, 80, 81], "superposit": [1, 5, 7, 14, 30, 34, 37, 46, 54, 57, 59, 68], "comput": [1, 2, 3, 4, 7, 8, 9, 10, 11, 13, 14, 15, 16, 18, 19, 21, 22, 23, 24, 26, 28, 30, 31, 32, 33, 34, 36, 37, 38, 44, 46, 48, 53, 54, 55, 58, 59, 62, 67, 72, 73, 77, 79, 80, 81], "basi": [1, 2, 3, 4, 10, 12, 13, 15, 18, 21, 23, 24, 25, 26, 46, 53, 54, 68], "sqrt": [1, 3, 5, 7, 10, 12, 13, 15, 16, 18, 26, 30, 37, 51, 55, 64, 68, 80], "2": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 48, 51, 52, 53, 54, 55, 59, 61, 63, 64, 66, 67, 68, 69, 73, 75, 77, 79, 80, 81], "an": [1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 25, 26, 27, 28, 29, 30, 31, 32, 34, 36, 38, 39, 41, 42, 44, 45, 46, 48, 49, 51, 52, 53, 54, 55, 57, 59, 61, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 75, 77, 80, 81], "arbitrari": [1, 2, 3, 21, 32, 51, 52, 66, 79, 81], "\u03bb": 1, "exp": [1, 2, 12, 19, 37, 42, 51], "i\u03bb": 1, "math": [1, 4, 7, 19, 53], "pi": [1, 8, 9, 11, 14, 15, 17, 19, 20, 22, 23, 28, 30, 37, 38, 43, 45, 51, 52, 53, 64], "std": [1, 2, 3, 34, 36, 37, 38, 41, 42, 44, 45, 46, 53, 54, 55, 59, 64, 65, 67, 71, 72, 77, 79], "number": [1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 14, 15, 17, 18, 19, 21, 22, 23, 24, 27, 28, 30, 34, 37, 42, 44, 46, 48, 51, 52, 53, 54, 55, 57, 59, 63, 64, 65, 66, 67, 68, 69, 72, 75, 80], "\u03b8": 1, "co": [1, 15, 20, 30, 51], "isin": 1, "sin": [1, 15, 30], "its": [1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 15, 16, 17, 18, 26, 32, 33, 34, 44, 46, 48, 49, 53, 54, 55, 59, 61, 64, 65, 68, 69, 72, 73, 75, 79, 80, 81], "4": [1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 32, 34, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 52, 53, 54, 55, 61, 64, 67, 69, 73, 75, 79, 81], "i\u03c0": 1, "two": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 14, 16, 17, 18, 19, 20, 21, 23, 26, 28, 30, 39, 48, 51, 52, 54, 55, 59, 61, 63, 64, 66, 68, 75, 79], "qubit_1": [1, 7, 14, 61], "qubit_2": [1, 16], "univers": [1, 2, 9, 16, 21, 53, 68], "three": [1, 10, 18, 19, 21, 23, 39, 52, 53, 63], "paramet": [1, 2, 3, 6, 8, 9, 11, 12, 13, 14, 17, 19, 21, 22, 24, 34, 38, 41, 46, 51, 52, 53, 55, 57, 61, 63, 64, 65, 67, 72, 73], "euler": [1, 51], "angl": [1, 2, 3, 6, 10, 13, 15, 18, 19, 28, 30, 37, 38, 41, 54, 57, 63, 64], "theta": [1, 8, 9, 10, 11, 14, 15, 22, 23, 26, 28, 30, 34, 36, 37, 53, 54, 61, 63], "phi": [1, 3, 4, 10, 34, 36, 52, 64, 69], "\u03c6": 1, "lambda": [1, 2, 8, 9, 12, 13, 14, 18, 19, 20, 23, 28, 34, 37, 38, 43, 51, 64, 66, 67, 69], "i\u03c6": 1, "np": [1, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 28, 30, 37, 38, 43, 45, 51, 52, 54, 55, 61, 64, 67, 73], "m_pi": [1, 37, 45, 64], "m_pi_2": [1, 37, 38, 53], "adj": [1, 41, 61], "method": [1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 18, 19, 20, 21, 22, 23, 27, 28, 34, 36, 41, 46, 51, 52, 54, 55, 59, 61, 64, 65], "ani": [1, 2, 3, 9, 12, 14, 19, 20, 21, 23, 24, 26, 28, 30, 34, 38, 40, 41, 43, 45, 46, 51, 52, 53, 55, 57, 59, 60, 61, 64, 65, 66, 72, 73, 75, 79, 80], "alloc": [1, 2, 3, 6, 14, 21, 34, 36, 37, 38, 39, 46, 54, 55, 57, 59, 65, 66, 72], "now": [1, 4, 5, 7, 9, 13, 14, 15, 16, 19, 21, 22, 23, 32, 48, 52, 59, 64, 65, 66, 67, 75, 80, 81], "again": [1, 5, 23, 24, 34, 48, 75, 77], "initi": [1, 2, 3, 4, 5, 6, 8, 9, 12, 13, 14, 15, 16, 19, 20, 22, 23, 28, 34, 51, 52, 54, 61, 64, 67, 68, 73, 75], "ctrl": [1, 2, 5, 7, 14, 17, 19, 24, 28, 30, 34, 36, 37, 41, 53, 54, 57, 61, 63, 64, 65, 66, 68, 69, 75, 80], "condit": [1, 2, 15, 16, 21, 26, 34, 35, 36, 38, 39, 55, 58, 68, 69], "more": [1, 2, 3, 4, 5, 8, 9, 10, 12, 13, 14, 15, 18, 19, 21, 23, 27, 30, 32, 36, 39, 41, 42, 48, 52, 53, 54, 55, 58, 59, 61, 64, 67, 68, 73, 75, 77, 79, 80, 81], "wikipedia": [1, 51], "entri": [1, 3, 12, 34, 38, 54, 61, 64, 69, 75, 79], "ctrl_1": 1, "ctrl_2": 1, "00": [1, 4, 9, 13, 16, 24, 26, 28, 55, 59, 67, 68, 79, 80], "11": [1, 3, 4, 9, 11, 13, 16, 17, 18, 20, 21, 23, 24, 26, 28, 30, 34, 55, 59, 67, 68, 69, 73, 75, 79, 80], "onli": [1, 2, 3, 5, 7, 9, 16, 18, 19, 21, 23, 24, 25, 30, 32, 34, 38, 39, 43, 46, 48, 51, 52, 53, 54, 58, 64, 68, 69, 71, 73, 75, 79, 80, 81], "both": [1, 3, 4, 5, 7, 11, 13, 19, 39, 48, 52, 54, 55, 68, 73, 75, 77], "000": [1, 15, 16, 18, 19, 53, 59], "111": [1, 9, 15, 16, 18, 19], "follow": [1, 2, 3, 4, 5, 7, 8, 9, 10, 13, 14, 15, 16, 17, 18, 19, 21, 23, 24, 25, 27, 28, 30, 32, 34, 36, 38, 41, 42, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 57, 59, 60, 61, 63, 64, 65, 69, 71, 72, 73, 75, 76, 77, 79, 80, 81], "common": [1, 3, 9, 10, 18, 19, 21, 22, 23, 34, 38, 41, 42, 69, 73], "convent": [1, 8, 11, 14, 24], "all": [1, 2, 3, 9, 13, 16, 17, 18, 19, 20, 21, 23, 24, 28, 30, 31, 32, 33, 34, 35, 36, 38, 39, 40, 41, 43, 44, 46, 48, 52, 53, 54, 55, 59, 61, 63, 64, 67, 68, 69, 73, 75, 76, 77, 79, 80, 81], "howev": [1, 4, 9, 13, 15, 16, 18, 21, 23, 24, 32, 48, 51, 52, 54, 79, 81], "behavior": [1, 2, 3, 9, 23, 32, 55, 81], "chang": [1, 2, 5, 9, 13, 15, 19, 29, 32, 34, 38, 51, 59, 75, 80, 81], "instead": [1, 2, 4, 9, 26, 40, 43, 52, 54, 55, 59, 73, 75, 79], "when": [1, 2, 3, 9, 12, 13, 14, 18, 19, 21, 32, 34, 39, 46, 48, 53, 54, 55, 59, 63, 64, 65, 69, 72, 73, 75, 79, 80, 81], "negat": [1, 2, 3, 41, 45, 46], "polar": [1, 41, 45, 55], "syntax": [1, 9, 32, 33, 38, 39, 41, 43, 52, 61, 64, 77, 81], "preced": [1, 41, 52], "01": [1, 4, 7, 13, 16, 21, 26, 28, 55, 68], "10": [1, 4, 9, 10, 11, 12, 13, 14, 16, 17, 18, 20, 21, 23, 26, 28, 30, 34, 37, 38, 55, 59, 61, 64, 65, 67, 68, 69, 73, 75, 77], "notat": [1, 16, 68], "context": [1, 2, 11, 39, 54, 55, 72], "valid": [1, 2, 3, 31, 38, 52, 55, 61, 64, 73, 75, 79], "either": [1, 7, 11, 14, 19, 39, 52, 54, 55, 64, 68, 73, 75, 80], "similarli": [1, 7, 23, 54, 60, 68], "condition": 1, "respect": [1, 2, 3, 4, 8, 13, 14, 19, 23, 28, 34, 51, 52, 54, 59, 63, 67, 68, 73, 75, 80], "e": [1, 2, 3, 4, 7, 8, 9, 10, 12, 14, 15, 16, 18, 19, 20, 21, 22, 27, 30, 33, 34, 35, 37, 38, 39, 40, 41, 42, 48, 51, 52, 53, 54, 55, 64, 69, 72, 73, 75, 79, 80], "project": [1, 55, 72, 73, 75, 76, 79], "onto": [1, 68], "eigenvector": [1, 2, 10, 12], "non": [1, 2, 3, 8, 10, 12, 18, 19, 32, 34, 38, 39, 46, 54, 55, 59, 63, 65, 81], "linear": [1, 5, 9, 11, 12, 15, 22, 26, 53, 59, 64, 68], "avail": [1, 2, 3, 8, 9, 10, 21, 23, 28, 31, 32, 33, 34, 38, 39, 41, 44, 45, 46, 47, 50, 52, 53, 54, 55, 58, 59, 61, 62, 63, 64, 69, 73, 75, 80, 81], "first": [1, 2, 3, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 26, 28, 30, 31, 34, 46, 52, 53, 54, 55, 56, 61, 63, 64, 65, 66, 69, 75, 80], "api": [1, 13, 24, 27, 30, 31, 32, 34, 36, 40, 41, 44, 46, 51, 52, 53, 54, 55, 59, 61, 64, 65, 72, 73, 75, 77, 79, 81], "regist": [1, 2, 3, 5, 10, 13, 15, 19, 22, 25, 34, 37, 39, 46, 52, 54, 61, 64, 65, 66, 69, 72], "outsid": [1, 9, 32, 75, 79, 81], "Then": [1, 7, 18, 21, 25, 52, 64, 71, 72], "within": [1, 2, 3, 13, 22, 32, 34, 38, 40, 42, 46, 52, 54, 55, 58, 59, 61, 64, 65, 68, 71, 73, 75, 76, 77, 79, 80, 81], "like": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 14, 15, 16, 19, 21, 22, 23, 24, 28, 29, 32, 34, 38, 46, 52, 54, 59, 61, 64, 65, 67, 68, 69, 73, 75, 76, 79, 80, 81], "built": [1, 2, 4, 6, 8, 9, 12, 15, 23, 24, 26, 32, 52, 55, 58, 59, 73, 79, 80, 81], "abov": [1, 2, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 21, 23, 24, 34, 36, 41, 51, 52, 53, 54, 55, 59, 61, 63, 64, 66, 68, 69, 72, 73, 75, 77, 79, 80], "level": [1, 2, 3, 13, 23, 29, 32, 33, 34, 39, 41, 51, 52, 53, 54, 55, 69, 72, 76, 81], "register_oper": [1, 13, 61], "accept": [1, 2, 3, 23, 24, 57, 73, 75, 80], "identifi": [1, 2, 3, 4, 13, 14, 19, 21, 73, 75], "string": [1, 2, 3, 5, 19, 27, 30, 34, 36, 37, 44, 51, 55, 59, 65, 69, 75, 79], "numpi": [1, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 28, 30, 37, 51, 61, 64, 67, 73], "arrai": [1, 2, 3, 4, 7, 10, 12, 13, 15, 16, 17, 18, 21, 24, 26, 28, 46, 48, 51, 52, 54, 55, 61, 64, 65, 67, 69], "complex": [1, 2, 3, 4, 7, 8, 12, 16, 20, 26, 42, 48, 51, 54, 59, 61, 67, 68, 79], "A": [1, 2, 3, 4, 7, 8, 9, 10, 12, 14, 16, 17, 18, 19, 20, 22, 28, 29, 30, 34, 37, 38, 41, 48, 51, 52, 59, 61, 64, 66, 67, 68, 71, 72, 73, 75], "1d": [1, 2], "interpret": [1, 8, 58, 64, 73], "row": [1, 2, 3, 30, 61], "major": [1, 73], "import": [1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 37, 42, 51, 52, 53, 54, 55, 57, 59, 61, 63, 64, 65, 67, 68, 69, 73, 79, 80], "custom_h": 1, "custom_x": [1, 61], "def": [1, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 34, 37, 38, 43, 45, 51, 53, 54, 55, 57, 59, 61, 63, 64, 65, 66, 67, 68, 75, 80], "bell": [1, 13, 16, 34, 79], "sampl": [1, 2, 3, 5, 7, 8, 9, 13, 14, 17, 18, 19, 21, 26, 36, 52, 53, 54, 55, 56, 58, 61, 64, 65, 66, 67, 68, 72, 75, 79, 80], "dump": [1, 2, 3, 26, 34, 37, 53, 54, 55, 59, 64, 65, 67, 79, 80], "macro": [1, 72], "cudaq_register_oper": 1, "uniqu": [1, 2, 3, 9, 14, 18, 21, 34, 39, 41, 46, 54, 77], "name": [1, 2, 3, 9, 13, 14, 16, 19, 34, 36, 41, 44, 50, 51, 52, 53, 54, 55, 63, 67, 68, 69, 72, 73, 75, 76, 79, 80], "represent": [1, 2, 3, 15, 16, 21, 24, 30, 34, 38, 48, 51, 55, 69, 71, 72], "includ": [1, 2, 3, 4, 12, 13, 14, 17, 23, 32, 34, 37, 46, 51, 53, 55, 57, 58, 59, 61, 63, 64, 65, 66, 69, 71, 72, 73, 75, 77, 79, 80, 81], "m_sqrt1_2": 1, "__qpu__": [1, 2, 34, 37, 38, 45, 53, 54, 55, 57, 59, 63, 64, 65, 66, 69, 79, 80], "void": [1, 2, 3, 34, 36, 37, 38, 41, 42, 44, 45, 46, 55, 57, 59, 64, 66, 69, 71, 72, 77, 79, 80], "bell_pair": [1, 2, 3], "r": [1, 4, 13, 18, 19, 41, 46, 52, 53, 54, 55, 63, 64, 69, 75], "int": [1, 2, 3, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 23, 24, 26, 34, 37, 38, 45, 46, 51, 53, 54, 55, 57, 59, 61, 63, 64, 65, 66, 67, 69, 72, 73, 77, 79, 80], "main": [1, 4, 5, 9, 19, 21, 32, 34, 37, 48, 53, 55, 59, 63, 64, 65, 66, 69, 73, 75, 77, 79, 80, 81], "auto": [1, 2, 34, 36, 37, 38, 42, 45, 46, 53, 54, 55, 57, 59, 63, 64, 65, 66, 69, 71, 79, 80], "count": [1, 2, 3, 5, 8, 9, 10, 12, 13, 14, 18, 19, 24, 34, 36, 37, 46, 52, 53, 54, 55, 59, 64, 65, 66, 67, 69, 72], "bit": [1, 2, 3, 4, 5, 7, 13, 16, 17, 18, 19, 24, 26, 34, 37, 39, 46, 48, 54, 55, 64, 65, 66, 68, 72], "printf": [1, 34, 37, 46, 54, 63, 65, 66, 73], "n": [1, 2, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 20, 21, 23, 34, 36, 37, 38, 41, 42, 45, 53, 54, 55, 59, 61, 63, 64, 65, 66, 67, 68, 69, 73, 77, 80], "data": [1, 2, 8, 11, 12, 13, 14, 15, 22, 31, 34, 38, 40, 42, 48, 54, 55, 63, 65, 66, 69, 72, 74, 75, 77, 79], "multi": [1, 4, 15, 16, 24, 30, 31, 32, 33, 36, 39, 41, 45, 50, 51, 52, 53, 59, 61, 62, 63, 68, 72, 73, 79, 80, 81], "msb": 1, "order": [1, 2, 3, 4, 9, 12, 13, 14, 16, 30, 34, 42, 51, 52, 55, 59, 63], "big": [1, 8, 17, 24], "endian": [1, 17, 24], "show": [1, 8, 9, 11, 13, 14, 15, 16, 18, 21, 22, 23, 30, 51, 54, 61, 63, 64, 73, 75], "differ": [1, 2, 3, 7, 9, 10, 11, 12, 13, 15, 16, 18, 19, 23, 24, 28, 30, 48, 52, 53, 54, 58, 59, 64, 67, 73, 75, 77, 80], "test": [1, 9, 11, 12, 17, 18, 19, 23, 31, 36, 67, 73, 75], "cnot": [1, 5, 9, 41, 57, 61, 68, 79], "my_cnot": 1, "print": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 28, 30, 34, 37, 46, 51, 53, 54, 55, 59, 61, 63, 64, 65, 66, 67, 68, 69, 73, 79, 80], "500": [1, 23, 68, 80], "exact": [1, 9, 10, 13, 17, 21, 55], "random": [1, 2, 3, 4, 5, 8, 9, 13, 14, 16, 17, 18, 19, 21, 22, 23, 28, 30, 54, 55, 67], "construct": [1, 2, 8, 9, 10, 12, 17, 18, 20, 23, 28, 30, 31, 32, 34, 35, 36, 38, 46, 48, 51, 54, 57, 58, 59, 61, 62, 65, 69, 81], "second": [1, 2, 3, 4, 7, 8, 9, 12, 14, 18, 20, 46, 51, 53, 55, 59, 61, 64], "1j": [1, 12, 13], "xy": [1, 30], "kron": [1, 18], "my_xi": 1, "custom_xy_test": 1, "undo": 1, "prior": [1, 55, 64, 68, 73, 75, 80], "1000": [1, 3, 9, 11, 13, 17, 18, 21, 24, 26, 34, 52, 55, 59, 65, 67, 68, 80], "mycnot": 1, "myxi": 1, "hardwar": [1, 9, 15, 19, 21, 24, 31, 32, 50, 55, 59, 62, 79, 81], "synthes": [1, 3, 21, 41, 45, 69], "current": [1, 2, 3, 9, 30, 32, 34, 44, 52, 54, 55, 72, 75, 79, 81], "orca": [1, 2, 32, 50, 81], "which": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 26, 28, 30, 32, 34, 36, 39, 42, 46, 48, 51, 52, 54, 55, 61, 63, 64, 65, 67, 68, 69, 72, 73, 75, 76, 79, 81], "doe": [1, 2, 3, 7, 9, 15, 16, 21, 30, 32, 34, 38, 46, 51, 53, 54, 73, 75, 77, 79, 80, 81], "increment": [1, 2, 67], "qumod": 1, "up": [1, 2, 3, 7, 9, 14, 15, 17, 21, 30, 36, 42, 51, 52, 55, 58, 63, 64, 67, 69, 72, 75], "maximum": [1, 3, 8, 9, 21, 55], "valu": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 23, 24, 28, 30, 31, 34, 36, 38, 42, 46, 48, 51, 53, 54, 55, 59, 62, 64, 67, 68, 69, 73, 79, 80], "repres": [1, 2, 3, 4, 7, 8, 9, 14, 15, 16, 21, 26, 30, 34, 48, 51, 52, 55, 64, 68, 69], "If": [1, 2, 3, 5, 7, 9, 11, 15, 16, 17, 18, 19, 20, 24, 25, 30, 34, 48, 51, 52, 53, 55, 59, 64, 67, 68, 73, 75, 79, 80], "where": [1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 23, 24, 29, 30, 33, 39, 41, 42, 46, 48, 51, 52, 55, 59, 61, 64, 67, 68, 72, 73, 75, 77, 80], "alreadi": [1, 2, 3, 13, 19, 30, 73, 75, 80], "ha": [1, 2, 3, 4, 5, 7, 9, 13, 14, 16, 17, 18, 19, 21, 24, 26, 28, 34, 41, 48, 52, 53, 55, 58, 59, 64, 67, 68, 73, 75, 79], "effect": [1, 13, 21, 48, 55, 59, 67, 68, 80], "u": [1, 2, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 19, 21, 22, 24, 30, 37, 38, 42, 43, 51, 52, 57, 58, 59, 64, 66, 67, 68, 69], "rangl": [1, 4, 15, 18, 19, 21, 34, 80], "3": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 30, 32, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 59, 61, 64, 66, 67, 69, 72, 73, 75, 76, 80, 81], "cdot": [1, 5, 9, 12, 19], "d": [1, 2, 3, 9, 12, 16, 37, 38, 39, 46, 52, 64, 73, 75], "reduc": [1, 2, 10, 13, 18, 19, 55], "minimum": [1, 14, 22, 53, 55], "vacuum": [1, 64], "phase": [1, 2, 3, 5, 12, 15, 21, 41, 52, 64], "shifter": [1, 64], "add": [1, 2, 3, 9, 12, 14, 22, 26, 30, 32, 43, 51, 55, 64, 65, 69, 71, 72, 73, 75, 81], "a_1": [1, 18, 19], "creation": [1, 2, 4, 9, 33, 47, 51, 72], "dagger": [1, 4, 10, 12, 21, 26, 43, 51, 68], "shift": [1, 11, 53, 75], "p": [1, 4, 8, 9, 10, 18, 26, 73, 75], "left": [1, 2, 4, 5, 7, 10, 12, 13, 14, 15, 16, 24, 64, 72, 75], "right": [1, 4, 10, 13, 14, 15], "17": [1, 9, 13, 16, 17, 18, 21, 30, 61, 69, 77], "beam": [1, 52, 64], "splitter": [1, 52, 64], "act": [1, 2, 3, 6, 7, 9, 14, 27, 48, 51, 68], "togeth": [1, 18, 31, 55, 69, 80], "parameter": [1, 2, 3, 8, 9, 10, 13, 14, 20, 22, 23, 34, 36, 38, 41, 51, 53, 58, 61, 63, 65, 67], "relat": [1, 2, 9, 14, 19, 21, 69], "reflect": [1, 37, 55], "a_2": [1, 19], "b": [1, 9, 23, 28, 34, 61, 64], "_": [1, 4, 7, 11, 13, 18, 19, 21, 30, 51], "rang": [1, 2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 27, 28, 30, 32, 37, 38, 45, 46, 51, 53, 54, 57, 61, 67, 75, 80, 81], "34": [1, 9, 18], "return": [1, 2, 3, 5, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 28, 30, 34, 36, 37, 38, 41, 46, 48, 51, 53, 54, 55, 59, 63, 64, 65, 67, 69, 71, 72, 73, 77, 79], "result": [1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 28, 29, 34, 35, 36, 37, 39, 48, 51, 52, 53, 54, 55, 59, 61, 63, 64, 65, 66, 67, 68, 69, 72, 75, 79, 80], "input": [1, 2, 3, 4, 5, 7, 8, 9, 11, 12, 15, 16, 21, 23, 27, 28, 34, 36, 37, 38, 45, 46, 54, 59, 61, 63, 64, 67], "class": [2, 3, 4, 9, 11, 21, 34, 36, 38, 42, 44, 46, 54, 55, 71, 72], "spin_op": [2, 8, 27, 34, 37, 41, 53, 54, 59, 63], "gener": [2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 18, 19, 22, 24, 27, 30, 34, 36, 37, 38, 39, 41, 42, 45, 47, 52, 53, 55, 58, 63, 64, 65, 66, 68, 69, 71, 75, 79], "sum": [2, 3, 4, 11, 12, 13, 14, 17, 18, 21, 27, 42, 46, 64, 68], "tensor": [2, 3, 11, 18, 27, 32, 42, 53, 54, 72, 81], "product": [2, 3, 5, 18, 27, 31, 32, 42, 53, 80, 81], "expos": [2, 3, 9, 13, 34, 36, 42, 44, 48, 54, 72], "typic": [2, 21, 34, 46, 53, 57, 58, 63, 69, 76, 77], "algebra": [2, 42, 63, 68], "programm": [2, 3, 34, 35, 36, 38, 39, 41, 43, 44, 46, 52, 54, 65], "defin": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 30, 32, 33, 34, 35, 36, 37, 38, 42, 43, 44, 45, 46, 51, 53, 54, 55, 57, 58, 59, 61, 63, 64, 65, 66, 68, 69, 72, 73, 75, 77, 79, 81], "primit": [2, 14, 33, 36, 39, 42, 46, 47, 54, 58, 79], "them": [2, 3, 8, 9, 10, 13, 16, 18, 21, 30, 32, 48, 51, 57, 68, 69, 73, 75, 77, 79, 80, 81], "compos": [2, 3, 11, 14, 21, 38, 39, 52, 64, 69], "larger": [2, 3, 7, 9, 10, 14, 21, 53, 55], "thereof": [2, 39, 42], "public": [2, 9, 34, 36, 42, 44, 46, 54, 71, 72, 75], "type": [2, 4, 5, 6, 7, 9, 13, 14, 15, 18, 20, 27, 33, 34, 36, 38, 39, 41, 42, 47, 51, 52, 54, 55, 57, 61, 63, 65, 68, 69, 72, 75, 79], "spin_op_term": 2, "bool": [2, 3, 13, 34, 38, 41, 42, 44, 54, 72, 79], "we": [2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 21, 22, 24, 26, 30, 32, 34, 37, 41, 43, 48, 51, 52, 54, 55, 57, 58, 59, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73, 75, 76, 77, 79, 80, 81], "term": [2, 3, 4, 5, 8, 12, 13, 14, 16, 19, 20, 23, 24, 34, 41, 51, 52, 54, 59, 63, 75], "binari": [2, 3, 5, 9, 11, 14, 15, 19, 24, 32, 52, 73, 77, 80, 81], "symplect": 2, "form": [2, 3, 9, 21, 23, 24, 30, 32, 34, 41, 46, 48, 51, 55, 69, 81], "size": [2, 3, 5, 8, 9, 10, 11, 12, 16, 17, 18, 19, 20, 34, 36, 37, 38, 39, 46, 53, 54, 55, 64, 65, 67, 75, 79], "nqubit": [2, 36, 37, 72], "element": [2, 3, 4, 15, 18, 19, 21, 28, 31, 34, 46, 54, 68], "x": [2, 3, 5, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 30, 34, 36, 37, 38, 41, 42, 43, 45, 51, 52, 53, 54, 55, 57, 59, 61, 63, 64, 65, 66, 68, 69, 73, 75, 77, 80], "next": [2, 4, 5, 8, 9, 10, 12, 13, 17, 19, 20, 21, 23, 28, 30, 48, 64, 65, 69, 73], "z": [2, 3, 6, 8, 9, 11, 12, 13, 14, 16, 20, 21, 22, 24, 25, 26, 27, 28, 30, 34, 37, 41, 42, 51, 53, 54, 55, 59, 63, 65, 67, 73], "y": [2, 3, 5, 7, 8, 9, 11, 12, 13, 15, 18, 19, 20, 24, 25, 27, 28, 30, 34, 37, 41, 42, 51, 53, 54, 59, 63, 65, 73, 75, 77, 80], "site": [2, 3, 8, 13, 64, 80], "csr_spmatrix": 2, "tupl": [2, 3, 9, 13, 28, 34, 38, 64], "doubl": [2, 3, 22, 23, 34, 36, 37, 38, 41, 42, 45, 53, 54, 55, 59, 63, 64, 72, 73, 75], "size_t": [2, 34, 36, 38, 42, 44, 46, 54, 64, 65, 72, 77, 79], "typedef": 2, "zero": [2, 3, 5, 6, 10, 11, 12, 18, 19, 21, 39, 51, 54, 59, 68], "spars": 2, "function": [2, 3, 5, 6, 7, 8, 11, 12, 13, 14, 16, 17, 18, 19, 20, 22, 23, 24, 26, 27, 28, 30, 32, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 57, 58, 59, 63, 65, 67, 69, 72, 77, 79, 81], "pair": [2, 3, 8, 12, 14, 16, 17, 38, 44, 48, 75], "const": [2, 34, 36, 37, 38, 41, 42, 44, 46, 53, 55, 64, 71, 72, 77, 79], "termdata": 2, "constructor": [2, 3], "take": [2, 3, 4, 5, 7, 9, 12, 13, 14, 15, 17, 18, 20, 23, 28, 29, 32, 34, 36, 37, 38, 41, 42, 43, 44, 45, 46, 48, 52, 55, 58, 59, 61, 63, 64, 65, 66, 67, 69, 73, 75, 80, 81], "coeffici": [2, 3, 8, 12, 20, 27, 51, 68], "constant": [2, 7, 20, 46, 48, 69], "id": [2, 3, 34, 44, 46, 52, 54, 55, 73, 75], "coeff": 2, "qubit": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 34, 36, 37, 38, 39, 42, 44, 45, 48, 51, 52, 53, 54, 55, 57, 58, 59, 61, 63, 64, 65, 66, 67, 68, 69, 72, 75, 80], "unordered_map": [2, 34], "_term": 2, "full": [2, 3, 4, 13, 19, 29, 32, 53, 54, 55, 67, 68, 69, 71, 73, 75, 76, 81], "composit": [2, 51], "spin": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 20, 23, 24, 26, 28, 34, 37, 42, 48, 51, 53, 54, 55, 59, 63, 64, 67, 69], "op": [2, 3, 12, 13, 20, 48, 63, 69], "map": [2, 3, 5, 7, 8, 9, 13, 18, 21, 23, 26, 34, 46, 51, 69, 75], "individu": [2, 3, 39, 46, 54, 61], "bsf": 2, "from": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 20, 21, 22, 23, 24, 26, 27, 28, 30, 32, 34, 35, 37, 38, 39, 42, 46, 48, 51, 53, 54, 55, 58, 59, 61, 63, 64, 67, 69, 72, 75, 76, 77, 80, 81], "creat": [2, 3, 5, 8, 9, 13, 14, 15, 16, 18, 19, 21, 22, 26, 30, 31, 34, 36, 42, 45, 51, 52, 53, 54, 58, 59, 64, 65, 67, 69, 70, 72, 73, 75, 76, 77, 79, 80], "ident": [2, 12, 13, 14, 18, 19, 21, 48, 51, 63], "numqubit": [2, 37], "given": [2, 3, 4, 7, 8, 9, 10, 14, 18, 19, 20, 21, 23, 24, 34, 46, 51, 52, 54, 55, 59, 63, 72], "o": [2, 9, 10, 13, 15, 23, 37, 52, 53, 54, 55, 63, 64, 65, 66, 69, 73, 75, 77, 79, 80], "copi": [2, 16, 21, 30, 46, 48, 73, 75], "data_rep": 2, "serial": [2, 3, 12], "encod": [2, 3, 5, 9, 14, 19, 21, 34, 42, 54, 65, 68, 72], "via": [2, 3, 4, 5, 11, 13, 16, 21, 24, 26, 31, 33, 34, 36, 39, 41, 43, 45, 46, 48, 51, 52, 54, 55, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73], "real": [2, 8, 10, 12, 13, 15, 17, 20, 21, 30, 58], "imaginari": [2, 4, 12], "part": [2, 3, 4, 12, 17, 19, 23, 34, 46, 69, 71, 73, 75], "append": [2, 3, 6, 8, 10, 11, 12, 13, 17, 18, 19, 20, 21, 22, 23, 28, 30, 38, 52, 54, 55, 61, 64, 67], "larg": [2, 4, 5, 12, 18, 23, 29, 32, 41, 54, 55, 58, 68, 81], "end": [2, 3, 4, 7, 10, 13, 15, 16, 17, 18, 20, 21, 24, 26, 30, 34, 46, 52, 54, 55, 59, 61, 64, 68, 73, 75], "total": [2, 3, 4, 8, 9, 11, 12, 13, 15, 21, 23, 53, 54, 55, 59, 64, 67, 75], "destructor": 2, "iter": [2, 3, 4, 9, 12, 19, 21, 23, 24, 27, 28, 34, 46], "begin": [2, 3, 4, 7, 9, 10, 12, 13, 15, 16, 18, 19, 21, 22, 24, 26, 30, 34, 46, 57, 64, 65, 68], "start": [2, 3, 4, 6, 13, 15, 16, 19, 21, 24, 31, 32, 41, 46, 52, 54, 59, 61, 64, 69, 71, 77, 81], "equal": [2, 10, 21, 24, 30, 48, 54, 55, 59, 68], "v": [2, 3, 4, 8, 10, 12, 13, 14, 19, 34, 37, 38, 43, 48, 53, 67, 69, 73], "noexcept": [2, 41], "subtract": 2, "multipli": [2, 12, 13, 19], "true": [2, 3, 4, 5, 9, 11, 12, 13, 16, 17, 18, 19, 21, 23, 28, 34, 38, 51, 52, 55, 67, 73, 75, 80], "here": [2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 15, 18, 19, 21, 22, 23, 26, 27, 31, 32, 34, 36, 37, 38, 41, 43, 51, 52, 53, 54, 61, 63, 64, 65, 66, 69, 71, 73, 75, 79, 80, 81], "consid": [2, 4, 5, 7, 9, 13, 17, 18, 19, 20, 21, 37, 39, 48, 53, 54, 69, 75], "num_qubit": [2, 3, 13, 20, 42, 53], "num_term": [2, 42], "get_coeffici": [2, 8, 12, 20, 42], "get": [2, 3, 10, 12, 13, 15, 17, 18, 19, 21, 23, 26, 28, 30, 32, 34, 36, 37, 46, 52, 53, 54, 55, 59, 63, 64, 67, 72, 73, 77, 80, 81], "throw": [2, 30], "except": [2, 3, 9, 12, 13, 21, 30, 79], "get_raw_data": 2, "is_ident": [2, 42], "standard": [2, 3, 10, 21, 23, 28, 33, 34, 35, 36, 38, 41, 47, 54, 57, 58, 69, 71, 73, 75, 77, 79], "out": [2, 3, 7, 8, 9, 11, 12, 14, 15, 16, 19, 21, 23, 26, 28, 32, 34, 39, 46, 48, 54, 55, 59, 60, 61, 63, 64, 72, 75, 76, 79, 81], "to_str": [2, 8, 12, 20, 59], "printcoeffici": 2, "getdatarepresent": 2, "getdatatupl": 2, "fulli": [2, 3, 9, 11, 13, 21, 32, 33, 52, 54, 65, 69, 73, 75, 79, 81], "distribute_term": 2, "numchunk": 2, "distribut": [2, 10, 17, 18, 21, 23, 24, 26, 32, 39, 53, 55, 59, 63, 65, 73, 79, 80, 81], "chunk": [2, 39], "for_each_term": [2, 8, 12, 20, 42], "give": [2, 14, 15, 18, 24, 32, 34, 49, 54, 55, 73, 75, 81], "functor": 2, "reduct": 2, "captur": [2, 14, 19, 23, 30, 32, 38, 51, 61, 81], "variabl": [2, 9, 12, 14, 16, 19, 23, 29, 32, 38, 39, 51, 52, 53, 54, 60, 64, 67, 73, 75, 80, 81], "for_each_pauli": [2, 42], "thrown": [2, 79], "than": [2, 3, 12, 13, 14, 15, 16, 17, 19, 20, 23, 24, 25, 30, 41, 48, 53, 55, 59, 61, 68, 73, 75, 79], "user": [2, 3, 4, 5, 8, 9, 13, 18, 21, 29, 32, 34, 36, 37, 39, 40, 43, 46, 51, 52, 53, 54, 55, 64, 67, 69, 72, 73, 75, 81], "should": [2, 3, 13, 15, 19, 20, 23, 33, 34, 39, 41, 42, 44, 46, 52, 54, 55, 59, 72, 73, 75, 79, 80], "pass": [2, 3, 8, 9, 11, 12, 13, 17, 20, 23, 30, 31, 32, 34, 38, 39, 42, 46, 52, 54, 55, 61, 64, 66, 69, 70, 75, 79, 81], "index": [2, 3, 5, 9, 11, 12, 17, 42, 44, 46, 48, 51, 54, 55, 72], "complex_matrix": 2, "to_matrix": [2, 10, 12, 51], "dens": 2, "to_sparse_matrix": 2, "col": 2, "static": [2, 3, 34, 41, 46, 51, 69, 73, 79], "nterm": 2, "unsign": 2, "seed": [2, 3, 4, 8, 9, 13, 14, 18, 21, 22, 23, 30, 67], "random_devic": 2, "specifi": [2, 3, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 21, 23, 24, 25, 27, 28, 30, 34, 37, 38, 39, 41, 42, 43, 44, 46, 51, 52, 53, 54, 55, 59, 61, 64, 65, 67, 69, 72, 73, 75], "overrid": [2, 3, 34, 55, 71, 73], "repeat": [2, 17, 18, 19, 23, 34], "from_word": 2, "pauliword": 2, "word": [2, 3, 8, 12, 19, 20], "g": [2, 3, 9, 14, 19, 20, 21, 27, 33, 34, 35, 38, 39, 40, 41, 42, 48, 51, 52, 53, 54, 55, 64, 69, 72, 73, 75, 76, 79, 80], "xyx": 2, "3rd": 2, "typenam": [2, 34, 36, 37, 38, 41, 45, 46, 77, 79], "qualifiedspinop": 2, "struct": [2, 34, 36, 37, 38, 41, 45, 53, 54, 55, 63, 64, 65, 66, 69, 71, 79], "constexpr": [2, 36, 46, 53], "dyn": [2, 46], "qudit": [2, 35, 39, 41], "system": [2, 3, 4, 9, 12, 13, 16, 20, 22, 23, 24, 29, 32, 34, 39, 44, 46, 48, 51, 52, 54, 55, 58, 59, 63, 64, 67, 68, 71, 73, 76, 77, 79, 80, 81], "inlin": [2, 34, 69], "new": [2, 3, 4, 8, 9, 12, 15, 21, 31, 32, 34, 36, 48, 58, 69, 70, 73, 75, 79, 80, 81], "enable_if_t": 2, "qreg": [2, 3, 12, 14, 53], "contain": [2, 3, 4, 9, 10, 13, 14, 18, 21, 31, 32, 34, 39, 41, 44, 48, 53, 55, 58, 59, 63, 64, 69, 72, 73, 79, 80, 81], "dynam": [2, 13, 31, 32, 36, 38, 39, 46, 52, 55, 57, 58, 69, 79, 81], "time": [2, 3, 4, 9, 10, 12, 13, 14, 15, 17, 18, 19, 20, 23, 24, 25, 26, 30, 31, 32, 33, 34, 37, 39, 46, 47, 52, 53, 54, 55, 59, 64, 65, 67, 68, 69, 73, 75, 80, 81], "By": [2, 9, 10, 23, 29, 34, 41, 51, 52, 53, 54, 55, 59, 64, 77], "value_typ": 2, "indic": [2, 3, 4, 8, 21, 38, 41, 42, 46, 51, 72], "underli": [2, 3, 9, 23, 34, 44, 46, 52, 54, 72], "interfac": [2, 3, 46, 55, 72, 73, 75, 77], "idx": [2, 3, 11, 13, 19, 21, 46, 51, 54], "qspan": 2, "front": [2, 37, 45, 46, 66], "back": [2, 21, 37, 46, 48, 54, 64, 65, 75], "last": [2, 18, 19, 21, 37, 46, 54, 61, 63], "slice": [2, 3, 46], "clear": [2, 3, 16, 34, 46, 72], "destroi": [2, 46], "postcondit": [2, 46], "own": [2, 3, 9, 18, 26, 39, 44, 46, 55, 69, 72, 73, 75, 79], "semant": [2, 3, 33, 38, 39, 40, 43, 45, 46, 48, 69], "held": 2, "explicit": [2, 10, 34, 45, 51, 55, 64, 79], "determin": [2, 4, 5, 7, 8, 9, 17, 20, 23, 31, 55, 59], "check": [2, 9, 19, 21, 32, 52, 53, 64, 68, 73, 75, 80, 81], "norm": [2, 18], "pre": [2, 3, 13, 21, 32, 34, 52, 55, 64, 66, 73, 79, 81], "exist": [2, 3, 8, 16, 21, 30, 32, 33, 34, 39, 40, 59, 71, 73, 75, 79, 80, 81], "could": [2, 9, 10, 12, 19, 23, 30, 32, 53, 57, 68, 73, 81], "from_data": [2, 3, 51], "retriev": [2, 3, 13, 24, 34, 51, 54, 64], "get_stat": [2, 3, 10, 15, 16, 17, 20, 21, 24, 30, 54, 61], "delet": [2, 46, 52, 75, 79], "cannot": [2, 3, 15, 30, 37, 38, 46, 48, 68, 75], "move": [2, 11, 46, 71, 73, 75, 80], "assign": [2, 9, 14, 44, 54, 55, 73], "qview": [2, 5, 10, 12, 15, 19, 37, 38, 45], "observe_result": [2, 3, 12, 34, 63], "encapsul": [2, 11, 34, 46, 54, 79], "observ": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 18, 20, 22, 23, 26, 28, 37, 51, 52, 54, 55, 56, 58, 63, 65, 66, 67, 68, 72, 80], "call": [2, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 15, 19, 21, 22, 23, 24, 26, 28, 30, 36, 37, 38, 41, 45, 51, 54, 55, 58, 59, 61, 64, 65, 66, 67, 68, 69, 72, 73, 75, 77], "measur": [2, 3, 5, 7, 9, 10, 11, 12, 13, 15, 16, 18, 23, 24, 26, 31, 34, 35, 37, 38, 39, 41, 48, 51, 52, 54, 55, 57, 58, 59, 62, 64, 65, 69, 72, 80], "execut": [2, 4, 9, 13, 15, 21, 30, 31, 32, 33, 34, 36, 38, 39, 44, 45, 51, 52, 54, 55, 58, 59, 60, 62, 63, 64, 65, 67, 69, 72, 75, 76, 77, 79, 80, 81], "ansatz": [2, 4, 6, 9, 13, 14, 22, 23, 34, 37, 53, 54, 63], "circuit": [2, 3, 5, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 28, 33, 34, 38, 39, 42, 43, 47, 48, 52, 53, 54, 55, 58, 59, 61, 63, 64, 69, 71], "global": [2, 3, 9, 14, 21, 34, 38, 53, 59, 64, 73], "expect": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 18, 20, 21, 22, 23, 24, 26, 28, 31, 34, 51, 53, 54, 55, 59, 62, 67, 73, 75, 79, 80], "h": [2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 28, 30, 34, 36, 37, 41, 42, 43, 45, 46, 48, 51, 52, 53, 54, 55, 57, 59, 61, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73, 75, 77, 79, 80], "precomput": 2, "psi": [2, 6, 7, 10, 12, 16, 24, 30, 34, 37, 59, 68], "sample_result": [2, 3, 19, 24, 34, 64, 79], "wa": [2, 3, 4, 7, 9, 12, 21, 34, 54, 55, 65, 69, 73, 76, 80], "shot": [2, 3, 8, 9, 10, 17, 18, 19, 24, 34, 37, 52, 55, 59, 64, 65, 68, 72], "base": [2, 3, 8, 9, 11, 13, 15, 18, 19, 21, 23, 27, 32, 33, 34, 36, 40, 41, 46, 51, 52, 53, 54, 55, 59, 67, 69, 72, 73, 75, 77, 81], "raw_data": [2, 9, 34], "raw": [2, 3, 9], "convers": [2, 34], "simpli": [2, 30, 68, 75, 80], "ignor": [2, 9, 19, 55], "fine": [2, 34, 65, 66, 68], "grain": [2, 34, 65, 66], "explicitli": [2, 9, 10, 48, 52, 55, 69, 77, 79], "request": [2, 3, 34, 52, 53, 54, 55, 64, 75], "oppos": [2, 79], "observe_data": 2, "spinoptyp": [2, 34], "sub": [2, 3, 33, 34, 37, 38, 46, 47, 51, 75], "id_coeffici": [2, 34], "observe_opt": [2, 34], "option": [2, 3, 4, 7, 9, 10, 12, 13, 17, 18, 22, 23, 24, 28, 29, 34, 36, 41, 44, 51, 52, 53, 54, 59, 63, 64, 66, 67, 72, 73, 75], "async_observ": 2, "param": [2, 4, 13, 14, 17, 37, 38, 41, 53, 67], "run": [2, 3, 5, 7, 8, 9, 11, 12, 17, 18, 23, 24, 31, 32, 33, 34, 37, 51, 52, 53, 54, 55, 56, 58, 63, 64, 65, 66, 67, 69, 72, 73, 75, 76, 79, 80, 81], "applic": [2, 4, 5, 7, 9, 10, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 27, 31, 34, 41, 45, 52, 55, 58, 59, 61, 62, 75, 76, 79, 80], "num_trajectori": [2, 3, 55], "trajectori": [2, 3], "presenc": 2, "simul": [2, 4, 6, 8, 10, 12, 17, 18, 19, 23, 24, 28, 29, 30, 31, 32, 33, 34, 50, 51, 52, 56, 58, 59, 62, 64, 65, 67, 69, 70, 73, 80, 81], "noisi": [2, 17, 18, 21, 31, 62, 64], "quantumkernel": [2, 34, 45], "arg": [2, 3, 9, 11, 15, 18, 34, 36, 41, 45, 51, 54, 59, 69, 75], "is_invocable_r_v": 2, "member": [2, 3, 14, 38], "conveni": [2, 15, 27, 42, 48, 73, 75], "what": [2, 3, 4, 8, 9, 10, 14, 16, 18, 19, 23, 30, 31, 32, 56, 67, 72, 79, 81], "": [2, 3, 4, 5, 9, 10, 12, 14, 15, 16, 17, 18, 20, 21, 23, 24, 26, 28, 30, 31, 32, 34, 41, 44, 48, 51, 52, 53, 54, 55, 57, 58, 59, 63, 64, 65, 66, 67, 69, 71, 73, 75, 76, 77, 80, 81], "spinopcontain": 2, "termlist": 2, "everi": [2, 3, 14, 17, 18, 20, 32, 53, 54, 58, 59, 64, 65, 73, 80, 81], "concept": [2, 33, 34, 38, 40], "executioncontext": 2, "abstract": [2, 3, 27, 33, 34, 36, 41, 42, 44, 46, 54, 58], "how": [2, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 27, 28, 30, 32, 34, 36, 41, 51, 53, 54, 55, 58, 59, 61, 62, 64, 65, 66, 67, 69, 72, 73, 75, 76, 79, 80, 81], "shots_": 2, "basic": [2, 6, 31, 53, 61, 75, 80], "invoc": [2, 3, 36, 38, 44, 46, 54, 55, 72], "expectationvalu": 2, "nullopt": 2, "optimization_result": [2, 34], "optresult": 2, "optim": [2, 4, 6, 8, 9, 11, 12, 13, 14, 18, 19, 23, 31, 32, 33, 43, 46, 48, 51, 52, 53, 55, 62, 69, 71, 73, 75, 81], "hasconditionalsonmeasureresult": 2, "fals": [2, 3, 4, 8, 9, 12, 13, 16, 17, 19, 20, 21, 73, 75], "being": [2, 3, 5, 6, 16, 26, 33, 34, 48, 55, 64, 79], "statement": [2, 7, 25, 34, 35, 58], "noise_model": [2, 3, 13, 17, 18, 26, 55], "noisemodel": [2, 3, 13, 17, 18, 26, 55], "nullptr": 2, "canhandleobserv": 2, "flag": [2, 13, 32, 38, 51, 52, 54, 55, 64, 69, 71, 75, 79, 81], "handl": [2, 3, 7, 9, 20, 52, 53, 54, 55, 64, 72, 75, 79], "task": [2, 5, 9, 13, 21, 24, 30, 34, 42, 54, 55, 59, 69, 72], "under": [2, 3, 13, 18, 21, 32, 51, 52, 71, 72, 73, 75, 79, 81], "asyncexec": 2, "occur": [2, 3, 7, 9, 12, 18, 25, 34, 39, 64, 68, 75], "asynchron": [2, 3, 10, 12, 13, 24, 34, 44, 54, 59, 64, 67], "detail": [2, 3, 4, 8, 10, 13, 14, 17, 32, 33, 39, 51, 52, 53, 55, 72, 73, 75, 80, 81], "futur": [2, 3, 34, 50, 52, 54, 55, 64, 73, 75], "futureresult": 2, "store": [2, 3, 4, 12, 13, 16, 20, 39, 46, 54, 59, 64, 67, 68, 69], "async_result": [2, 64], "asyncresult": [2, 67], "async_sample_result": [2, 34, 54], "so": [2, 5, 8, 9, 10, 12, 13, 14, 16, 17, 18, 19, 21, 23, 28, 30, 32, 34, 51, 52, 54, 55, 65, 68, 69, 71, 72, 73, 75, 79, 80, 81], "boundari": [2, 11], "unique_ptr": 2, "simulationst": 2, "pointer": [2, 3, 79], "amplitudemap": 2, "amplitud": [2, 3, 5, 15, 17, 21, 51, 52, 54, 61, 64, 67, 68], "overlapcomputest": 2, "overlap": [2, 3, 12, 54], "overlapresult": 2, "trace": [2, 3, 16, 21, 26, 53], "kerneltrac": 2, "tracer": 2, "persist": [2, 34, 39, 53, 75], "resourc": [2, 4, 19, 23, 28, 44, 53, 54, 55, 59, 73, 75], "kernelnam": [2, 3], "batchiter": 2, "batch": [2, 28, 39, 55], "observe_n": 2, "sample_n": 2, "totaliter": 2, "registernam": [2, 34], "mid": [2, 3, 55], "mode": [2, 3, 9, 24, 32, 37, 39, 51, 52, 64, 69, 73, 81], "keep": [2, 5, 18, 34, 55], "track": [2, 34, 55, 68], "reorderidx": 2, "inform": [2, 3, 5, 7, 9, 12, 13, 16, 19, 21, 23, 27, 32, 34, 39, 41, 44, 46, 52, 53, 54, 55, 59, 64, 67, 68, 69, 73, 75, 77, 78, 80, 81], "reorder": 2, "after": [2, 3, 4, 7, 9, 13, 16, 30, 34, 52, 59, 61, 64, 69, 73, 75], "empti": [2, 3, 12, 36, 42, 55, 64, 75], 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Use cudaq::qvector instead.)": [[46, "cudaq-qreg-n-levels-deprecated-use-cudaq-qvector-levels-instead"]], "Sub-circuit Synthesis": [[45, "sub-circuit-synthesis"]], "CUDA-Q Applications": [[49, "cuda-q-applications"]], "Specifications": [[47, "specifications"]], "Troubleshooting": [[60, "troubleshooting"]], "Debugging and Verbose Simulation Output": [[60, "debugging-and-verbose-simulation-output"]], "CUDA-Q by Example": [[62, "cuda-q-by-example"]], "Using Quantum Hardware Providers": [[64, "using-quantum-hardware-providers"]], "Amazon Braket": [[64, "amazon-braket"], [52, "amazon-braket"]], "Infleqtion": [[64, "infleqtion"], [52, "infleqtion"]], "IonQ": [[64, "ionq"], [52, "ionq"]], "IQM": [[64, "iqm"], [52, "iqm"]], "OQC": [[64, "oqc"], [52, "oqc"]], "ORCA Computing": [[64, "orca-computing"], [52, "orca-computing"]], "Quantinuum": [[64, "quantinuum"], [52, "quantinuum"]], "QuEra Computing": [[64, "quera-computing"], [52, "quera-computing"]], "Computing Expectation Values": [[63, 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