From 9685711919fe8fde47a72c6a2cec4d667eec6cb3 Mon Sep 17 00:00:00 2001 From: cuda-quantum-bot Date: Fri, 31 Jan 2025 20:39:52 +0000 Subject: [PATCH] Docs preview for PR #2443. --- .../python/deutschs_algorithm.html | 4 +-- .../python/executing_photonic_kernels.html | 4 +-- .../python/executing_photonic_kernels.ipynb | 28 +++++++++---------- .../python/performance_optimizations.html | 4 +-- pr-2443/searchindex.js | 2 +- 5 files changed, 21 insertions(+), 21 deletions(-) diff --git a/pr-2443/applications/python/deutschs_algorithm.html b/pr-2443/applications/python/deutschs_algorithm.html index 46e3acbaea..4f79f13d94 100644 --- a/pr-2443/applications/python/deutschs_algorithm.html +++ b/pr-2443/applications/python/deutschs_algorithm.html @@ -822,7 +822,7 @@

XOR \(\oplus\)

Quantum oracles

-

3f66a7b670c24291b82cd12bc42f523d

+

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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:

@@ -870,7 +870,7 @@

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.

-

934726e23b39472685ceacde39a5528e

+

8d34e73ef7d345c4b90b6d7edbdb23d8

\[\ket{\psi_0} = \ket{01} \tag{1}\]
diff --git a/pr-2443/examples/python/executing_photonic_kernels.html b/pr-2443/examples/python/executing_photonic_kernels.html index 6ffba552c1..d271d3a7b3 100644 --- a/pr-2443/examples/python/executing_photonic_kernels.html +++ b/pr-2443/examples/python/executing_photonic_kernels.html @@ -806,7 +806,7 @@

Sample 
-{ 02:407 11:266 20:327 }
+{ 02:368 11:255 20:377 }

@@ -894,7 +894,7 @@

Parallelization Techniques 
-CUDA-Q Version  (https://github.com/NVIDIA/cuda-quantum 2010d9904b679a4ef158ee79f5237b636cc75d03)
+CUDA-Q Version  (https://github.com/NVIDIA/cuda-quantum e62b6cf90584ae80e11679763734b176ecf75256)
diff --git a/pr-2443/examples/python/executing_photonic_kernels.ipynb b/pr-2443/examples/python/executing_photonic_kernels.ipynb index 5f7de83eec..a697364a6d 100644 --- a/pr-2443/examples/python/executing_photonic_kernels.ipynb +++ b/pr-2443/examples/python/executing_photonic_kernels.ipynb @@ -23,10 +23,10 @@ "execution_count": 1, "metadata": { "execution": { - "iopub.execute_input": "2025-01-31T14:04:24.034241Z", - "iopub.status.busy": "2025-01-31T14:04:24.034066Z", - "iopub.status.idle": "2025-01-31T14:04:27.127070Z", - "shell.execute_reply": "2025-01-31T14:04:27.126432Z" + "iopub.execute_input": "2025-01-31T19:58:06.981565Z", + "iopub.status.busy": "2025-01-31T19:58:06.981156Z", + "iopub.status.idle": "2025-01-31T19:58:09.943371Z", + "shell.execute_reply": "2025-01-31T19:58:09.942474Z" } }, "outputs": [ @@ -42,7 +42,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "{ 02:407 11:266 20:327 }\n", + "{ 02:368 11:255 20:377 }\n", "\n" ] } @@ -95,10 +95,10 @@ "execution_count": 2, "metadata": { "execution": { - "iopub.execute_input": "2025-01-31T14:04:27.129339Z", - "iopub.status.busy": "2025-01-31T14:04:27.128902Z", - "iopub.status.idle": "2025-01-31T14:04:27.172872Z", - "shell.execute_reply": "2025-01-31T14:04:27.171885Z" + "iopub.execute_input": "2025-01-31T19:58:09.946161Z", + "iopub.status.busy": "2025-01-31T19:58:09.945519Z", + "iopub.status.idle": "2025-01-31T19:58:09.991753Z", + "shell.execute_reply": "2025-01-31T19:58:09.991361Z" } }, "outputs": [ @@ -183,10 +183,10 @@ "execution_count": 3, "metadata": { "execution": { - "iopub.execute_input": "2025-01-31T14:04:27.175283Z", - "iopub.status.busy": "2025-01-31T14:04:27.174999Z", - "iopub.status.idle": "2025-01-31T14:04:27.178622Z", - "shell.execute_reply": "2025-01-31T14:04:27.178028Z" + "iopub.execute_input": "2025-01-31T19:58:09.995965Z", + "iopub.status.busy": "2025-01-31T19:58:09.995743Z", + "iopub.status.idle": "2025-01-31T19:58:10.000963Z", + "shell.execute_reply": "2025-01-31T19:58:09.999818Z" } }, "outputs": [ @@ -194,7 +194,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "CUDA-Q Version (https://github.com/NVIDIA/cuda-quantum 2010d9904b679a4ef158ee79f5237b636cc75d03)\n" + "CUDA-Q Version (https://github.com/NVIDIA/cuda-quantum e62b6cf90584ae80e11679763734b176ecf75256)\n" ] } ], diff --git a/pr-2443/examples/python/performance_optimizations.html b/pr-2443/examples/python/performance_optimizations.html index bfd802579e..69f43b9819 100644 --- a/pr-2443/examples/python/performance_optimizations.html +++ b/pr-2443/examples/python/performance_optimizations.html @@ -750,9 +750,9 @@

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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+

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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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+

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10, 11, 12, 16, 17, 21, 31, 35, 37, 38, 39, 42, 45, 47, 49, 53, 54, 55, 62, 65, 66, 67, 68, 74, 75], "For": [1, 2, 3, 4, 5, 7, 9, 10, 13, 14, 15, 17, 18, 19, 21, 28, 31, 33, 35, 37, 42, 49, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 65, 67, 68, 69, 70, 74, 75, 77, 79, 81, 82, 83], "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, 35, 37, 42, 48, 49, 52, 53, 54, 55, 56, 58, 60, 62, 64, 65, 66, 68, 69, 70, 73, 74, 75, 77, 78, 79, 81, 82, 83], "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, 29, 31, 36, 37, 38, 39, 41, 44, 45, 46, 52, 53, 54, 55, 56, 58, 60, 62, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 77, 78, 81, 82], "qvector": [1, 2, 3, 5, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 26, 27, 28, 29, 31, 35, 38, 39, 42, 46, 54, 55, 56, 58, 60, 62, 64, 65, 67, 68, 70, 71, 81, 82], "flip": [1, 2, 3, 6, 13, 17, 18, 27, 56, 70], "each": [1, 2, 3, 5, 7, 8, 9, 12, 14, 15, 16, 17, 18, 20, 21, 23, 24, 25, 29, 31, 33, 35, 37, 40, 45, 49, 52, 53, 54, 55, 56, 60, 65, 68, 70, 71, 75, 77, 81, 82, 83], "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, 31, 33, 34, 35, 37, 38, 39, 40, 41, 42, 44, 47, 49, 52, 53, 54, 55, 56, 58, 60, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 73, 75, 77, 78, 79, 81, 82, 83], "pauli": [1, 2, 3, 8, 9, 10, 12, 14, 16, 20, 24, 35, 43, 52, 60, 70], "matrix": [1, 2, 3, 4, 13, 14, 16, 17, 20, 21, 24, 25, 27, 31, 32, 33, 51, 52, 54, 62, 70, 74, 83], "It": [1, 2, 4, 7, 9, 15, 16, 17, 18, 20, 23, 32, 33, 35, 42, 47, 49, 52, 55, 60, 62, 65, 69, 70, 71, 74, 77, 79, 82, 83], "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, 35, 37, 38, 39, 40, 41, 42, 43, 44, 47, 49, 51, 52, 53, 54, 55, 56, 57, 60, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 77, 78, 79, 81, 82, 83], "also": [1, 2, 3, 7, 9, 13, 15, 18, 19, 21, 22, 24, 27, 29, 31, 33, 35, 39, 43, 52, 53, 54, 55, 56, 58, 59, 60, 62, 65, 68, 70, 71, 73, 74, 75, 77, 79, 82, 83], "known": [1, 2, 19, 21, 23, 39, 52, 66, 71], "NOT": [1, 35, 42, 70], "gate": [1, 2, 3, 5, 6, 7, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 25, 27, 31, 32, 33, 42, 46, 47, 49, 53, 56, 58, 62, 66, 67, 74, 83], "appli": [1, 2, 3, 5, 7, 8, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 23, 25, 27, 28, 35, 38, 39, 42, 46, 49, 54, 55, 56, 58, 62, 65, 66, 67, 69, 70, 71, 74], "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, 29, 31, 33, 35, 37, 38, 39, 42, 43, 44, 45, 47, 49, 51, 52, 53, 54, 55, 56, 58, 60, 62, 64, 65, 66, 67, 68, 69, 70, 71, 74, 75, 77, 79, 81, 82, 83], "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, 29, 31, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 52, 53, 54, 55, 56, 58, 60, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 74, 75, 77, 81, 82, 83], "rotat": [1, 3, 9, 10, 13, 14, 15, 18, 19, 27, 31, 42, 43, 58, 64, 74], "\u03c0": 1, "about": [1, 2, 3, 7, 9, 18, 19, 20, 21, 22, 31, 33, 35, 49, 52, 53, 54, 55, 56, 59, 60, 65, 68, 75, 77, 79, 80, 81, 82, 83], "axi": [1, 11, 21, 22, 31], "enabl": [1, 2, 3, 5, 9, 13, 15, 24, 25, 34, 35, 37, 39, 40, 42, 44, 45, 46, 47, 51, 52, 53, 55, 56, 59, 60, 64, 65, 68, 71, 74, 75, 77, 81, 82], "one": [1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 19, 20, 21, 23, 24, 25, 31, 33, 35, 37, 38, 40, 42, 45, 49, 52, 53, 54, 55, 56, 61, 62, 64, 65, 67, 68, 69, 70, 71, 73, 74, 75, 77, 81, 82, 83], "superposit": [1, 5, 7, 14, 31, 35, 38, 47, 55, 58, 60, 69, 70], "comput": [1, 2, 3, 4, 7, 8, 9, 10, 11, 13, 14, 15, 16, 18, 19, 21, 22, 23, 24, 25, 27, 29, 31, 32, 33, 34, 35, 37, 38, 39, 45, 47, 49, 52, 54, 55, 56, 59, 60, 63, 68, 69, 74, 75, 79, 81, 82, 83], "basi": [1, 2, 3, 4, 10, 12, 13, 15, 18, 21, 23, 24, 26, 27, 47, 54, 55, 69, 70], "sqrt": [1, 3, 5, 7, 10, 12, 13, 15, 16, 18, 27, 31, 38, 52, 56, 65, 70, 82], "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, 29, 31, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 49, 52, 53, 54, 55, 56, 60, 62, 64, 65, 67, 68, 69, 70, 71, 75, 77, 79, 81, 82, 83], "an": [1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 26, 27, 28, 29, 30, 31, 32, 33, 35, 37, 39, 40, 42, 43, 45, 46, 47, 49, 50, 52, 53, 54, 55, 56, 58, 60, 62, 64, 65, 67, 68, 69, 70, 71, 72, 73, 74, 75, 77, 79, 82, 83], "arbitrari": [1, 2, 3, 21, 33, 52, 53, 67, 81, 83], "\u03bb": 1, "exp": [1, 2, 12, 19, 38, 43, 52, 69], "i\u03bb": 1, "math": [1, 4, 7, 19, 54, 69], "pi": [1, 8, 9, 11, 14, 15, 17, 19, 20, 22, 23, 25, 29, 31, 38, 39, 44, 46, 52, 53, 54, 65, 69], "std": [1, 2, 3, 35, 37, 38, 39, 42, 43, 45, 46, 47, 54, 55, 56, 60, 65, 66, 68, 73, 74, 79, 81], "number": [1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 14, 15, 17, 18, 19, 21, 22, 23, 24, 25, 28, 29, 31, 35, 38, 43, 45, 47, 49, 52, 53, 54, 55, 56, 58, 60, 64, 65, 66, 67, 68, 69, 70, 71, 74, 77, 82], "\u03b8": 1, "co": [1, 15, 20, 31, 52, 69], "isin": 1, "sin": [1, 15, 31], "its": [1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 15, 16, 17, 18, 27, 33, 34, 35, 45, 47, 49, 50, 54, 55, 56, 60, 62, 65, 66, 70, 71, 74, 75, 77, 81, 82, 83], "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, 31, 33, 35, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 53, 54, 55, 56, 62, 65, 68, 69, 71, 75, 77, 81, 83], "i\u03c0": 1, "two": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 14, 16, 17, 18, 19, 20, 21, 23, 27, 29, 31, 40, 49, 52, 53, 55, 56, 60, 62, 64, 65, 67, 69, 70, 77, 81], "qubit_1": [1, 7, 14, 62], "qubit_2": [1, 16], "univers": [1, 2, 9, 16, 21, 54, 70], "three": [1, 10, 18, 19, 21, 23, 40, 53, 54, 64, 69], "paramet": [1, 2, 3, 6, 8, 9, 11, 12, 13, 14, 17, 19, 21, 22, 24, 35, 39, 42, 47, 52, 53, 54, 56, 58, 62, 64, 65, 66, 68, 74, 75], "euler": [1, 52], "angl": [1, 2, 3, 6, 10, 13, 15, 18, 19, 29, 31, 38, 39, 42, 55, 58, 64, 65, 69], "theta": [1, 8, 9, 10, 11, 14, 15, 22, 23, 27, 29, 31, 35, 37, 38, 54, 55, 62, 64, 69], "phi": [1, 3, 4, 10, 35, 37, 53, 65, 69, 71], "\u03c6": 1, "lambda": [1, 2, 8, 9, 12, 13, 14, 18, 19, 20, 23, 29, 35, 38, 39, 44, 52, 65, 67, 68, 71], "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, 25, 27, 29, 31, 38, 39, 44, 46, 52, 53, 55, 56, 62, 65, 68, 75], "m_pi": [1, 38, 46, 65], "m_pi_2": [1, 38, 39, 54], "adj": [1, 42, 62], "method": [1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 18, 19, 20, 21, 22, 23, 28, 29, 35, 37, 42, 47, 52, 53, 55, 56, 60, 62, 65, 66], "ani": [1, 2, 3, 9, 12, 14, 19, 20, 21, 23, 24, 27, 29, 31, 35, 39, 41, 42, 44, 46, 47, 52, 53, 54, 56, 58, 60, 61, 62, 65, 66, 67, 74, 75, 77, 81, 82], "alloc": [1, 2, 3, 6, 14, 21, 35, 37, 38, 39, 40, 47, 55, 56, 58, 60, 66, 67, 74], "now": [1, 4, 5, 7, 9, 13, 14, 15, 16, 19, 21, 22, 23, 33, 49, 53, 60, 65, 66, 67, 68, 77, 82, 83], "again": [1, 5, 23, 24, 35, 49, 77, 79], "initi": [1, 2, 3, 4, 5, 6, 8, 9, 12, 13, 14, 15, 16, 19, 20, 22, 23, 29, 35, 52, 53, 55, 62, 65, 68, 69, 70, 75, 77], "ctrl": [1, 2, 5, 7, 14, 17, 19, 24, 29, 31, 35, 37, 38, 42, 54, 55, 58, 62, 64, 65, 66, 67, 70, 71, 77, 82], "condit": [1, 2, 15, 16, 21, 27, 35, 36, 37, 39, 40, 56, 59, 70, 71], "more": [1, 2, 3, 4, 5, 8, 9, 10, 12, 13, 14, 15, 18, 19, 21, 23, 28, 31, 33, 37, 40, 42, 43, 49, 53, 54, 55, 56, 59, 60, 62, 65, 68, 70, 75, 77, 79, 81, 82, 83], "wikipedia": [1, 52], "entri": [1, 3, 12, 35, 39, 55, 62, 65, 71, 77, 81], "ctrl_1": 1, "ctrl_2": 1, "00": [1, 4, 9, 13, 16, 24, 25, 27, 29, 56, 60, 68, 69, 70, 81, 82], "11": [1, 3, 4, 9, 11, 13, 16, 17, 18, 20, 21, 23, 24, 25, 27, 29, 31, 35, 52, 56, 60, 68, 69, 70, 71, 75, 77, 81, 82], "onli": [1, 2, 3, 5, 7, 9, 16, 18, 19, 21, 23, 24, 26, 31, 33, 35, 39, 40, 44, 47, 49, 52, 53, 54, 55, 59, 65, 70, 71, 73, 75, 77, 81, 82, 83], "both": [1, 3, 4, 5, 7, 11, 13, 19, 40, 49, 53, 55, 56, 70, 75, 77, 79], "000": [1, 15, 16, 18, 19, 54, 60], "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, 26, 28, 29, 31, 33, 35, 37, 39, 42, 43, 44, 45, 46, 47, 48, 49, 51, 52, 53, 54, 55, 56, 58, 60, 61, 62, 64, 65, 66, 71, 73, 74, 75, 77, 78, 79, 81, 82, 83], "common": [1, 3, 9, 10, 18, 19, 21, 22, 23, 35, 39, 42, 43, 71, 75], "convent": [1, 8, 11, 14, 24, 25], "all": [1, 2, 3, 9, 13, 16, 17, 18, 19, 20, 21, 23, 24, 25, 29, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 44, 45, 47, 49, 52, 53, 54, 55, 56, 60, 62, 64, 65, 68, 69, 70, 71, 75, 77, 78, 79, 81, 82, 83], "howev": [1, 4, 9, 13, 15, 16, 18, 21, 23, 24, 33, 49, 52, 53, 55, 81, 83], "behavior": [1, 2, 3, 9, 23, 33, 56, 83], "chang": [1, 2, 5, 9, 13, 15, 19, 30, 33, 35, 39, 52, 60, 77, 82, 83], "instead": [1, 2, 4, 9, 27, 41, 44, 53, 55, 56, 60, 75, 77, 81], "when": [1, 2, 3, 9, 12, 13, 14, 18, 19, 21, 33, 35, 40, 47, 49, 54, 55, 56, 60, 64, 65, 66, 71, 74, 75, 77, 81, 82, 83], "negat": [1, 2, 3, 42, 46, 47], "polar": [1, 42, 46, 56], "syntax": [1, 9, 33, 34, 39, 40, 42, 44, 53, 62, 65, 79, 83], "preced": [1, 42, 53], "01": [1, 4, 7, 13, 16, 21, 27, 29, 56, 69, 70], "10": [1, 4, 9, 10, 11, 12, 13, 14, 16, 17, 18, 20, 21, 23, 25, 27, 29, 31, 35, 38, 39, 56, 60, 62, 65, 66, 68, 69, 70, 71, 75, 77, 79], "notat": [1, 16, 69, 70], "context": [1, 2, 11, 40, 55, 56, 74], "valid": [1, 2, 3, 32, 39, 53, 56, 62, 65, 75, 77, 81], "either": [1, 7, 11, 14, 19, 40, 53, 55, 56, 65, 69, 70, 75, 77, 82], "similarli": [1, 7, 23, 55, 61, 70], "condition": 1, "respect": [1, 2, 3, 4, 8, 13, 14, 19, 23, 29, 35, 52, 53, 55, 60, 64, 68, 69, 70, 75, 77, 82], "e": [1, 2, 3, 4, 7, 8, 9, 10, 12, 14, 15, 16, 18, 19, 20, 21, 22, 28, 31, 34, 35, 36, 38, 39, 40, 41, 42, 43, 49, 52, 53, 54, 55, 56, 65, 71, 74, 75, 77, 81, 82], "project": [1, 56, 74, 75, 77, 78, 81], "onto": [1, 70], "eigenvector": [1, 2, 10, 12], "non": [1, 2, 3, 8, 10, 12, 18, 19, 33, 35, 39, 40, 47, 55, 56, 60, 64, 66, 83], "linear": [1, 5, 9, 11, 12, 15, 22, 27, 54, 60, 65, 69, 70], "avail": [1, 2, 3, 8, 9, 10, 21, 23, 29, 32, 33, 34, 35, 39, 40, 42, 45, 46, 47, 48, 51, 52, 53, 54, 55, 56, 59, 60, 62, 63, 64, 65, 71, 75, 77, 82, 83], "first": [1, 2, 3, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 27, 29, 31, 32, 35, 47, 53, 54, 55, 56, 57, 62, 64, 65, 66, 67, 71, 77, 82], "api": [1, 13, 24, 28, 31, 32, 33, 35, 37, 41, 42, 45, 47, 52, 53, 54, 55, 56, 60, 62, 65, 66, 74, 75, 77, 79, 81, 83], "regist": [1, 2, 3, 5, 10, 13, 15, 19, 22, 26, 35, 38, 40, 47, 53, 55, 62, 65, 66, 67, 71, 74], "outsid": [1, 9, 33, 77, 81, 83], "Then": [1, 7, 18, 21, 26, 53, 65, 73, 74], "within": [1, 2, 3, 13, 22, 33, 35, 39, 41, 43, 47, 53, 55, 56, 59, 60, 62, 65, 66, 70, 73, 75, 77, 78, 79, 81, 82, 83], "like": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 14, 15, 16, 19, 21, 22, 23, 24, 29, 30, 33, 35, 39, 47, 53, 55, 60, 62, 65, 66, 68, 69, 70, 71, 75, 77, 78, 81, 82, 83], "built": [1, 2, 4, 6, 8, 9, 12, 15, 23, 24, 27, 33, 53, 56, 59, 60, 75, 81, 82, 83], "abov": [1, 2, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 21, 23, 24, 35, 37, 42, 52, 53, 54, 55, 56, 60, 62, 64, 65, 67, 69, 70, 71, 74, 75, 77, 79, 81, 82], "level": [1, 2, 3, 13, 23, 25, 30, 33, 34, 35, 40, 42, 52, 53, 54, 55, 56, 69, 71, 74, 78, 83], "register_oper": [1, 13, 62], "accept": [1, 2, 3, 23, 24, 58, 75, 77, 82], "identifi": [1, 2, 3, 4, 13, 14, 19, 21, 75, 77], "string": [1, 2, 3, 5, 19, 25, 28, 31, 35, 37, 38, 45, 52, 56, 60, 66, 71, 77, 81], "numpi": [1, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 29, 31, 38, 52, 62, 65, 68, 75], "arrai": [1, 2, 3, 4, 7, 10, 12, 13, 15, 16, 17, 18, 21, 24, 25, 27, 29, 47, 49, 52, 53, 55, 56, 62, 65, 66, 68, 71], "complex": [1, 2, 3, 4, 7, 8, 12, 16, 20, 27, 43, 49, 52, 55, 60, 62, 68, 69, 70, 81], "A": [1, 2, 3, 4, 7, 8, 9, 10, 12, 14, 16, 17, 18, 19, 20, 22, 29, 30, 31, 35, 38, 39, 42, 49, 52, 53, 60, 62, 65, 67, 68, 69, 70, 73, 74, 75, 77], "1d": [1, 2], "interpret": [1, 8, 59, 65, 75], "row": [1, 2, 3, 31, 62], "major": [1, 75], "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, 31, 38, 43, 52, 53, 54, 55, 56, 58, 60, 62, 64, 65, 66, 68, 69, 70, 71, 75, 81, 82], "custom_h": 1, "custom_x": [1, 62], "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, 29, 31, 35, 38, 39, 44, 46, 52, 54, 55, 56, 58, 60, 62, 64, 65, 66, 67, 68, 69, 70, 77, 82], "bell": [1, 13, 16, 35, 81], "sampl": [1, 2, 3, 5, 7, 8, 9, 13, 14, 17, 18, 19, 21, 27, 37, 53, 54, 55, 56, 57, 59, 62, 65, 66, 67, 68, 69, 70, 74, 77, 81, 82], "dump": [1, 2, 3, 27, 35, 38, 54, 55, 56, 60, 65, 66, 68, 81, 82], "macro": [1, 74], "cudaq_register_oper": 1, "uniqu": [1, 2, 3, 9, 14, 18, 21, 35, 40, 42, 47, 55, 79], "name": [1, 2, 3, 9, 13, 14, 16, 19, 35, 37, 42, 45, 51, 52, 53, 54, 55, 56, 64, 68, 70, 71, 74, 75, 77, 78, 81, 82], "represent": [1, 2, 3, 15, 16, 21, 24, 25, 31, 35, 39, 49, 52, 56, 71, 73, 74], "includ": [1, 2, 3, 4, 12, 13, 14, 17, 23, 33, 35, 38, 47, 52, 54, 56, 58, 59, 60, 62, 64, 65, 66, 67, 71, 73, 74, 75, 77, 79, 81, 82, 83], "m_sqrt1_2": 1, "__qpu__": [1, 2, 35, 38, 39, 46, 54, 55, 56, 58, 60, 64, 65, 66, 67, 71, 81, 82], "void": [1, 2, 3, 35, 37, 38, 39, 42, 43, 45, 46, 47, 56, 58, 60, 65, 67, 71, 73, 74, 79, 81, 82], "bell_pair": [1, 2, 3], "r": [1, 4, 13, 18, 19, 42, 47, 53, 54, 55, 56, 64, 65, 71, 77], "int": [1, 2, 3, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 23, 24, 25, 27, 35, 38, 39, 46, 47, 52, 54, 55, 56, 58, 60, 62, 64, 65, 66, 67, 68, 71, 74, 75, 79, 81, 82], "main": [1, 4, 5, 9, 19, 21, 33, 35, 38, 49, 54, 56, 60, 64, 65, 66, 67, 71, 75, 77, 79, 81, 82, 83], "auto": [1, 2, 35, 37, 38, 39, 43, 46, 47, 54, 55, 56, 58, 60, 64, 65, 66, 67, 71, 73, 81, 82], "count": [1, 2, 3, 5, 8, 9, 10, 12, 13, 14, 18, 19, 24, 25, 35, 37, 38, 47, 53, 54, 55, 56, 60, 65, 66, 67, 68, 71, 74], "bit": [1, 2, 3, 4, 5, 7, 13, 16, 17, 18, 19, 24, 25, 27, 35, 38, 40, 47, 49, 55, 56, 65, 66, 67, 69, 70, 74], "printf": [1, 35, 38, 47, 55, 64, 66, 67, 75], "n": [1, 2, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 20, 21, 23, 35, 37, 38, 39, 42, 43, 46, 52, 54, 55, 56, 60, 62, 64, 65, 66, 67, 68, 69, 70, 71, 75, 79, 82], "data": [1, 2, 8, 11, 12, 13, 14, 15, 22, 32, 35, 39, 41, 43, 49, 55, 56, 64, 66, 67, 71, 74, 76, 77, 79, 81], "multi": [1, 4, 15, 16, 24, 25, 31, 32, 33, 34, 37, 40, 42, 46, 51, 53, 54, 60, 62, 63, 64, 69, 70, 74, 75, 81, 82, 83], "msb": 1, "order": [1, 2, 3, 4, 9, 12, 13, 14, 16, 31, 35, 43, 52, 53, 56, 60, 64], "big": [1, 8, 17, 24], "endian": [1, 17, 24, 25], "show": [1, 8, 9, 11, 13, 14, 15, 16, 18, 21, 22, 23, 31, 52, 55, 62, 64, 65, 75, 77], "differ": [1, 2, 3, 7, 9, 10, 11, 12, 13, 15, 16, 18, 19, 23, 24, 29, 31, 49, 53, 54, 55, 59, 60, 65, 68, 75, 77, 79, 82], "test": [1, 9, 11, 12, 17, 18, 19, 23, 32, 37, 68, 75, 77], "cnot": [1, 5, 9, 42, 58, 62, 70, 81], "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, 25, 27, 29, 31, 35, 38, 47, 52, 54, 55, 56, 60, 62, 64, 65, 66, 67, 68, 69, 70, 71, 75, 81, 82], "500": [1, 23, 70, 82], "exact": [1, 9, 10, 13, 17, 21, 56], "random": [1, 2, 3, 4, 5, 8, 9, 13, 14, 16, 17, 18, 19, 21, 22, 23, 29, 31, 55, 56, 68], "construct": [1, 2, 8, 9, 10, 12, 17, 18, 20, 23, 29, 31, 32, 33, 35, 36, 37, 39, 47, 49, 52, 55, 58, 59, 60, 62, 63, 66, 71, 83], "second": [1, 2, 3, 4, 7, 8, 9, 12, 14, 18, 20, 47, 52, 54, 56, 60, 62, 65], "1j": [1, 12, 13], "xy": [1, 31], "kron": [1, 18], "my_xi": 1, "custom_xy_test": 1, "undo": 1, "prior": [1, 56, 65, 69, 70, 75, 77, 82], "1000": [1, 3, 9, 11, 13, 17, 18, 21, 24, 25, 27, 35, 53, 56, 60, 66, 68, 69, 70, 82], "mycnot": 1, "myxi": 1, "hardwar": [1, 9, 15, 19, 21, 24, 32, 33, 51, 56, 60, 63, 81, 83], "synthes": [1, 3, 21, 42, 46, 71], "current": [1, 2, 3, 9, 31, 33, 35, 45, 53, 55, 56, 74, 77, 81, 83], "orca": [1, 2, 25, 33, 51, 56, 69, 83], "which": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 27, 29, 31, 33, 35, 37, 40, 43, 47, 49, 52, 53, 55, 56, 62, 64, 65, 66, 68, 69, 70, 71, 74, 75, 77, 78, 81, 83], "doe": [1, 2, 3, 7, 9, 15, 16, 21, 31, 33, 35, 39, 47, 52, 54, 55, 75, 77, 79, 81, 82, 83], "increment": [1, 2, 68], "qumod": [1, 25, 69], "up": [1, 2, 3, 7, 9, 14, 15, 17, 21, 31, 37, 43, 52, 53, 56, 59, 64, 65, 68, 69, 71, 74, 77], "maximum": [1, 3, 8, 9, 21, 56, 69], "valu": [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 23, 24, 29, 31, 32, 35, 37, 39, 43, 47, 49, 52, 54, 55, 56, 60, 63, 65, 68, 69, 70, 71, 75, 81, 82], "repres": [1, 2, 3, 4, 7, 8, 9, 14, 15, 16, 21, 27, 31, 35, 49, 52, 53, 56, 65, 69, 70, 71], "If": [1, 2, 3, 5, 7, 9, 11, 15, 16, 17, 18, 19, 20, 24, 26, 31, 35, 49, 52, 53, 54, 56, 60, 65, 68, 70, 75, 77, 81, 82], "where": [1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 23, 24, 30, 31, 34, 40, 42, 43, 47, 49, 52, 53, 56, 60, 62, 65, 68, 69, 70, 74, 75, 77, 79, 82], "alreadi": [1, 2, 3, 13, 19, 31, 69, 75, 77, 82], "ha": [1, 2, 3, 4, 5, 7, 9, 13, 14, 16, 17, 18, 19, 21, 24, 27, 29, 35, 42, 49, 53, 54, 56, 59, 60, 65, 68, 69, 70, 75, 77, 81], "effect": [1, 13, 21, 49, 56, 60, 68, 69, 70, 82], "rangl": [1, 4, 15, 18, 19, 21, 35, 82], "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, 28, 31, 33, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 52, 53, 54, 55, 56, 60, 62, 65, 67, 68, 69, 71, 74, 75, 77, 78, 82, 83], "cdot": [1, 5, 9, 12, 19], "d": [1, 2, 3, 9, 12, 16, 38, 39, 40, 47, 53, 65, 69, 75, 77], "reduc": [1, 2, 10, 13, 18, 19, 56], "minimum": [1, 14, 22, 54, 56, 69], "vacuum": [1, 65], "phase": [1, 2, 3, 5, 12, 15, 21, 42, 53, 65, 69], "shifter": [1, 65, 69], "add": [1, 2, 3, 9, 12, 14, 22, 27, 31, 33, 44, 52, 56, 65, 66, 69, 71, 73, 74, 75, 77, 83], "a_1": [1, 18, 19, 69], "creation": [1, 2, 4, 9, 34, 48, 52, 69, 74], "dagger": [1, 4, 10, 12, 21, 27, 44, 52, 69, 70], "shift": [1, 11, 54, 69, 77], "p": [1, 4, 8, 9, 10, 18, 27, 69, 75, 77], "left": [1, 2, 4, 5, 7, 10, 12, 13, 14, 15, 16, 24, 65, 69, 74, 77], "right": [1, 4, 10, 13, 14, 15, 25, 69], "17": [1, 9, 13, 16, 17, 18, 21, 31, 62, 71, 79], "beam": [1, 53, 65, 69], "splitter": [1, 53, 65, 69], "act": [1, 2, 3, 6, 7, 9, 14, 28, 49, 52, 56, 69, 70], "togeth": [1, 18, 32, 56, 69, 71, 82], "parameter": [1, 2, 3, 8, 9, 10, 13, 14, 20, 22, 23, 35, 37, 39, 42, 52, 54, 59, 62, 64, 66, 68, 69], "relat": [1, 2, 9, 14, 19, 21, 69, 71], "reflect": [1, 38, 56], "a_2": [1, 19, 69], "b": [1, 9, 23, 29, 35, 62, 65, 69], "_": [1, 4, 7, 11, 13, 18, 19, 21, 25, 31, 52, 69], "rang": [1, 2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 28, 29, 31, 33, 38, 39, 46, 47, 52, 54, 55, 58, 62, 68, 69, 77, 82, 83], "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, 29, 31, 35, 37, 38, 39, 42, 47, 49, 52, 54, 55, 56, 60, 64, 65, 66, 68, 69, 71, 73, 74, 75, 79, 81], "result": [1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 15, 16, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 29, 30, 35, 36, 37, 38, 40, 49, 52, 53, 54, 55, 56, 60, 62, 64, 65, 66, 67, 68, 69, 70, 71, 74, 77, 81, 82], "input": [1, 2, 3, 4, 5, 7, 8, 9, 11, 12, 15, 16, 21, 23, 28, 29, 35, 37, 38, 39, 46, 47, 55, 60, 62, 64, 65, 68], "class": [2, 3, 4, 9, 11, 21, 35, 37, 39, 43, 45, 47, 55, 56, 73, 74], "spin_op": [2, 8, 28, 35, 38, 42, 54, 55, 60, 64], "gener": [2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 18, 19, 22, 24, 25, 28, 31, 35, 37, 38, 39, 40, 42, 43, 46, 48, 53, 54, 56, 59, 64, 65, 66, 67, 70, 71, 73, 77, 81], "sum": [2, 3, 4, 11, 12, 13, 14, 17, 18, 21, 28, 43, 47, 65, 69, 70], "tensor": [2, 3, 11, 18, 28, 33, 43, 54, 55, 74, 83], "product": [2, 3, 5, 18, 28, 32, 33, 43, 54, 82, 83], "expos": [2, 3, 9, 13, 35, 37, 43, 45, 49, 55, 74], "typic": [2, 21, 35, 47, 54, 58, 59, 64, 71, 78, 79], "algebra": [2, 43, 64, 70], "programm": [2, 3, 35, 36, 37, 39, 40, 42, 44, 45, 47, 53, 55, 66], "defin": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 31, 33, 34, 35, 36, 37, 38, 39, 43, 44, 45, 46, 47, 52, 54, 55, 56, 58, 59, 60, 62, 64, 65, 66, 67, 69, 70, 71, 74, 75, 77, 79, 81, 83], "primit": [2, 14, 34, 37, 40, 43, 47, 48, 55, 59, 81], "them": [2, 3, 8, 9, 10, 13, 16, 18, 21, 31, 33, 49, 52, 58, 70, 71, 75, 77, 79, 81, 82, 83], "compos": [2, 3, 11, 14, 21, 39, 40, 53, 65, 71], "larger": [2, 3, 7, 9, 10, 14, 21, 54, 56], "thereof": [2, 40, 43], "public": [2, 9, 35, 37, 43, 45, 47, 55, 73, 74, 77], "type": [2, 4, 5, 6, 7, 9, 13, 14, 15, 18, 20, 28, 34, 35, 37, 39, 40, 42, 43, 48, 52, 53, 55, 56, 58, 62, 64, 66, 70, 71, 74, 77, 81], "spin_op_term": 2, "bool": [2, 3, 13, 35, 39, 42, 43, 45, 55, 74, 81], "we": [2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 21, 22, 24, 25, 27, 31, 33, 35, 38, 42, 44, 49, 52, 53, 55, 56, 58, 59, 60, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 77, 78, 79, 81, 82, 83], "term": [2, 3, 4, 5, 8, 12, 13, 14, 16, 19, 20, 23, 24, 35, 42, 52, 53, 55, 56, 60, 64, 77], "binari": [2, 3, 5, 9, 11, 14, 15, 19, 24, 33, 53, 75, 79, 82, 83], "symplect": 2, "form": [2, 3, 9, 21, 23, 24, 31, 33, 35, 42, 47, 49, 52, 56, 71, 83], "size": [2, 3, 5, 8, 9, 10, 11, 12, 16, 17, 18, 19, 20, 35, 37, 38, 39, 40, 47, 54, 55, 56, 65, 66, 68, 77, 81], "nqubit": [2, 37, 38, 74], "element": [2, 3, 4, 15, 18, 19, 21, 29, 32, 35, 47, 55, 70], "x": [2, 3, 5, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, 31, 35, 37, 38, 39, 42, 43, 44, 46, 52, 53, 54, 55, 56, 58, 60, 62, 64, 65, 66, 67, 70, 71, 75, 77, 79, 82], "next": [2, 4, 5, 8, 9, 10, 12, 13, 17, 19, 20, 21, 23, 29, 31, 49, 65, 66, 71, 75], "z": [2, 3, 6, 8, 9, 11, 12, 13, 14, 16, 20, 21, 22, 24, 26, 27, 28, 29, 31, 35, 38, 42, 43, 52, 54, 55, 56, 60, 64, 66, 68, 75], "y": [2, 3, 5, 7, 8, 9, 11, 12, 13, 15, 18, 19, 20, 24, 26, 28, 29, 31, 35, 38, 42, 43, 52, 54, 55, 60, 64, 66, 75, 77, 79, 82], "site": [2, 3, 8, 13, 65, 82], "csr_spmatrix": 2, "tupl": [2, 3, 9, 13, 29, 35, 39, 65], "doubl": [2, 3, 22, 23, 35, 37, 38, 39, 42, 43, 46, 54, 55, 56, 60, 64, 65, 74, 75, 77], "size_t": [2, 35, 37, 39, 43, 45, 47, 55, 65, 66, 74, 79, 81], "typedef": 2, "zero": [2, 3, 5, 6, 10, 11, 12, 18, 19, 21, 40, 52, 55, 60, 69, 70], "spars": [2, 56], "function": [2, 3, 5, 6, 7, 8, 11, 12, 13, 14, 16, 17, 18, 19, 20, 22, 23, 24, 25, 27, 28, 29, 31, 33, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 52, 53, 54, 55, 56, 58, 59, 60, 64, 66, 68, 69, 71, 74, 79, 81, 83], "pair": [2, 3, 8, 12, 14, 16, 17, 39, 45, 49, 77], "const": [2, 35, 37, 38, 39, 42, 43, 45, 47, 54, 56, 65, 73, 74, 79, 81], "termdata": 2, "constructor": [2, 3], "take": [2, 3, 4, 5, 7, 9, 12, 13, 14, 15, 17, 18, 20, 23, 29, 30, 33, 35, 37, 38, 39, 42, 43, 44, 45, 46, 47, 49, 53, 56, 59, 60, 62, 64, 65, 66, 67, 68, 71, 75, 77, 82, 83], "coeffici": [2, 3, 8, 12, 20, 28, 52, 69, 70], "constant": [2, 7, 20, 47, 49, 71], "id": [2, 3, 35, 45, 47, 53, 55, 56, 75, 77], "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, 26, 27, 28, 29, 30, 35, 37, 38, 39, 40, 43, 45, 46, 49, 52, 53, 54, 55, 56, 58, 59, 60, 62, 64, 65, 66, 67, 68, 69, 70, 71, 74, 77, 82], "unordered_map": [2, 35], "_term": 2, "full": [2, 3, 4, 13, 19, 30, 33, 54, 55, 56, 68, 69, 70, 71, 73, 75, 77, 78, 83], "composit": [2, 52], "spin": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 20, 23, 24, 27, 29, 35, 38, 43, 49, 52, 54, 55, 56, 60, 64, 65, 68, 71], "op": [2, 3, 12, 13, 20, 49, 64, 71], "map": [2, 3, 5, 7, 8, 9, 13, 18, 21, 23, 27, 35, 47, 52, 71, 77], "individu": [2, 3, 40, 47, 55, 56, 62], "bsf": 2, "from": [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 20, 21, 22, 23, 24, 27, 28, 29, 31, 33, 35, 36, 38, 39, 40, 43, 47, 49, 52, 54, 55, 56, 59, 60, 62, 64, 65, 68, 71, 74, 77, 78, 79, 82, 83], "creat": [2, 3, 5, 8, 9, 13, 14, 15, 16, 18, 19, 21, 22, 25, 27, 31, 32, 35, 37, 43, 46, 52, 53, 54, 55, 59, 60, 65, 66, 68, 69, 71, 72, 74, 75, 77, 78, 79, 81, 82], "ident": [2, 12, 13, 14, 18, 19, 21, 49, 52, 64, 69], "numqubit": [2, 38], "given": [2, 3, 4, 7, 8, 9, 10, 14, 18, 19, 20, 21, 23, 24, 25, 35, 47, 52, 53, 55, 56, 60, 64, 69, 74], "o": [2, 9, 10, 13, 15, 23, 38, 53, 54, 55, 56, 64, 65, 66, 67, 71, 75, 77, 79, 81, 82], "copi": [2, 16, 21, 31, 47, 49, 75, 77], "data_rep": 2, "serial": [2, 3, 12], "encod": [2, 3, 5, 9, 14, 19, 21, 35, 43, 55, 66, 70, 74], "via": [2, 3, 4, 5, 11, 13, 16, 21, 24, 27, 32, 34, 35, 37, 40, 42, 44, 46, 47, 49, 52, 53, 55, 56, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75], "real": [2, 8, 10, 12, 13, 15, 17, 20, 21, 31, 59], "imaginari": [2, 4, 12], "part": [2, 3, 4, 12, 17, 19, 23, 35, 47, 71, 73, 75, 77], "append": [2, 3, 6, 8, 10, 11, 12, 13, 17, 18, 19, 20, 21, 22, 23, 29, 31, 39, 53, 55, 56, 62, 65, 68], "larg": [2, 4, 5, 12, 18, 23, 30, 33, 42, 55, 56, 59, 69, 70, 83], "end": [2, 3, 4, 7, 10, 13, 15, 16, 17, 18, 20, 21, 24, 25, 27, 31, 35, 47, 53, 55, 56, 60, 62, 65, 69, 70, 75, 77], "total": [2, 3, 4, 8, 9, 11, 12, 13, 15, 21, 23, 54, 55, 56, 60, 65, 68, 77], "destructor": 2, "iter": [2, 3, 4, 9, 12, 19, 21, 23, 24, 28, 29, 35, 47], "begin": [2, 3, 4, 7, 9, 10, 12, 13, 15, 16, 18, 19, 21, 22, 24, 25, 27, 31, 35, 47, 58, 65, 66, 69, 70], "start": [2, 3, 4, 6, 13, 15, 16, 19, 21, 24, 32, 33, 42, 47, 53, 55, 60, 62, 65, 71, 73, 79, 83], "equal": [2, 10, 21, 24, 31, 49, 55, 56, 60, 70], "v": [2, 3, 4, 8, 10, 12, 13, 14, 19, 35, 38, 39, 44, 49, 54, 68, 71, 75], "noexcept": [2, 42], "subtract": 2, "multipli": [2, 12, 13, 19], "true": [2, 3, 4, 5, 9, 11, 12, 13, 16, 17, 18, 19, 21, 23, 29, 35, 39, 52, 53, 56, 68, 75, 77, 82], "here": [2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 15, 18, 19, 21, 22, 23, 27, 28, 32, 33, 35, 37, 38, 39, 42, 44, 52, 53, 54, 55, 62, 64, 65, 66, 67, 71, 73, 75, 77, 81, 82, 83], "consid": [2, 4, 5, 7, 9, 13, 17, 18, 19, 20, 21, 38, 40, 49, 54, 55, 71, 77], "num_qubit": [2, 3, 13, 20, 43, 54], "num_term": [2, 43], "get_coeffici": [2, 8, 12, 20, 43], "get": [2, 3, 10, 12, 13, 15, 17, 18, 19, 21, 23, 27, 29, 31, 33, 35, 37, 38, 47, 53, 54, 55, 56, 60, 64, 65, 68, 74, 75, 79, 82, 83], "throw": [2, 31], "except": [2, 3, 9, 12, 13, 21, 31, 81], "get_raw_data": 2, "is_ident": [2, 43], "standard": [2, 3, 10, 21, 23, 29, 34, 35, 36, 37, 39, 42, 48, 55, 58, 59, 71, 73, 75, 77, 79, 81], "out": [2, 3, 7, 8, 9, 11, 12, 14, 15, 16, 19, 21, 23, 27, 29, 33, 35, 40, 47, 49, 55, 56, 60, 61, 62, 64, 65, 74, 77, 78, 81, 83], "to_str": [2, 8, 12, 20, 60], "printcoeffici": 2, "getdatarepresent": 2, "getdatatupl": 2, "fulli": [2, 3, 9, 11, 13, 21, 33, 34, 53, 55, 66, 71, 75, 77, 81, 83], "distribute_term": 2, "numchunk": 2, "distribut": [2, 10, 17, 18, 21, 23, 24, 27, 33, 40, 52, 54, 56, 60, 64, 66, 75, 81, 82, 83], "chunk": [2, 40], "for_each_term": [2, 8, 12, 20, 43], "give": [2, 14, 15, 18, 24, 25, 33, 35, 50, 55, 56, 75, 77, 83], "functor": 2, "reduct": 2, "captur": [2, 14, 19, 23, 31, 33, 39, 52, 62, 83], "variabl": [2, 9, 12, 14, 16, 19, 23, 30, 33, 39, 40, 52, 53, 54, 55, 61, 65, 68, 75, 77, 82, 83], "for_each_pauli": [2, 43], "thrown": [2, 81], "than": [2, 3, 12, 13, 14, 15, 16, 17, 19, 20, 23, 24, 26, 31, 42, 49, 54, 56, 60, 62, 70, 75, 77, 81], "user": [2, 3, 4, 5, 8, 9, 13, 18, 21, 30, 33, 35, 37, 38, 40, 41, 44, 47, 52, 53, 54, 55, 56, 65, 68, 71, 74, 75, 77, 83], "should": [2, 3, 13, 15, 19, 20, 23, 34, 35, 40, 42, 43, 45, 47, 53, 55, 56, 60, 74, 75, 77, 81, 82], "pass": [2, 3, 8, 9, 11, 12, 13, 17, 20, 23, 31, 32, 33, 35, 39, 40, 43, 47, 53, 55, 56, 62, 65, 67, 71, 72, 77, 81, 83], "index": [2, 3, 5, 9, 11, 12, 17, 43, 45, 47, 49, 52, 55, 56, 74], "complex_matrix": 2, "to_matrix": [2, 10, 12, 52], "dens": 2, "to_sparse_matrix": 2, "col": 2, "static": [2, 3, 35, 42, 47, 52, 71, 75, 81], "nterm": 2, "unsign": 2, "seed": [2, 3, 4, 8, 9, 13, 14, 18, 21, 22, 23, 31, 68], "random_devic": 2, "specifi": [2, 3, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 21, 23, 24, 26, 28, 29, 31, 35, 38, 39, 40, 42, 43, 44, 45, 47, 52, 53, 54, 55, 56, 60, 62, 65, 66, 68, 71, 74, 75, 77], "overrid": [2, 3, 35, 56, 73, 75], "repeat": [2, 17, 18, 19, 23, 35], "from_word": 2, "pauliword": 2, "word": [2, 3, 8, 12, 19, 20], "g": [2, 3, 9, 14, 19, 20, 21, 28, 34, 35, 36, 39, 40, 41, 42, 43, 49, 52, 53, 54, 55, 56, 65, 71, 74, 75, 77, 78, 81, 82], "xyx": 2, "3rd": 2, "typenam": [2, 35, 37, 38, 39, 42, 46, 47, 79, 81], "qualifiedspinop": 2, "struct": [2, 35, 37, 38, 39, 42, 46, 54, 55, 56, 64, 65, 66, 67, 71, 73, 81], "constexpr": [2, 37, 47, 54], "dyn": [2, 47], "qudit": [2, 25, 36, 40, 42, 69], "system": [2, 3, 4, 9, 12, 13, 16, 20, 22, 23, 24, 25, 30, 33, 35, 40, 45, 47, 49, 52, 53, 55, 56, 59, 60, 64, 65, 68, 69, 70, 73, 75, 78, 79, 81, 82, 83], "inlin": [2, 35, 71], "new": [2, 3, 4, 8, 9, 12, 15, 21, 32, 33, 35, 37, 49, 59, 71, 72, 75, 77, 81, 82, 83], "enable_if_t": 2, "qreg": [2, 3, 12, 14, 54], "contain": [2, 3, 4, 9, 10, 13, 14, 18, 21, 32, 33, 35, 40, 42, 45, 49, 54, 56, 59, 60, 64, 65, 71, 74, 75, 81, 82, 83], "dynam": [2, 13, 32, 33, 37, 39, 40, 47, 53, 56, 58, 59, 71, 81, 83], "time": [2, 3, 4, 9, 10, 12, 13, 14, 15, 17, 18, 19, 20, 23, 24, 25, 26, 27, 31, 32, 33, 34, 35, 38, 40, 47, 48, 53, 54, 55, 56, 60, 65, 66, 68, 69, 70, 71, 75, 77, 82, 83], "By": [2, 9, 10, 23, 30, 35, 42, 52, 53, 54, 55, 56, 60, 65, 79], "value_typ": 2, "indic": [2, 3, 4, 8, 21, 39, 42, 43, 47, 52, 74], "underli": [2, 3, 9, 23, 35, 45, 47, 53, 55, 74], "interfac": [2, 3, 47, 56, 74, 75, 77, 79], "idx": [2, 3, 11, 13, 19, 21, 47, 52, 55], "qspan": 2, "front": [2, 38, 46, 47, 67], "back": [2, 21, 38, 47, 49, 55, 65, 66, 77], "last": [2, 18, 19, 21, 38, 47, 55, 62, 64], "slice": [2, 3, 47], "clear": [2, 3, 16, 35, 47, 74], "destroi": [2, 47], "postcondit": [2, 47], "own": [2, 3, 9, 18, 27, 40, 45, 47, 56, 71, 74, 75, 77, 81], "semant": [2, 3, 34, 39, 40, 41, 44, 46, 47, 49, 71], "held": 2, "explicit": [2, 10, 35, 46, 52, 56, 65, 81], "determin": [2, 4, 5, 7, 8, 9, 17, 20, 23, 32, 56, 60], "check": [2, 9, 19, 21, 33, 53, 54, 65, 70, 75, 77, 82, 83], "norm": [2, 18], "pre": [2, 3, 13, 21, 33, 35, 53, 56, 65, 67, 75, 81, 83], "exist": [2, 3, 8, 16, 21, 31, 33, 34, 35, 40, 41, 60, 73, 75, 77, 81, 82, 83], "could": [2, 9, 10, 12, 19, 23, 31, 33, 54, 58, 70, 75, 83], "from_data": [2, 3, 52], "retriev": [2, 3, 13, 24, 35, 52, 55, 65], "get_stat": [2, 3, 10, 15, 16, 17, 20, 21, 24, 25, 31, 55, 62], "delet": [2, 47, 53, 77, 81], "cannot": [2, 3, 15, 25, 31, 38, 39, 47, 49, 70, 77], "move": [2, 11, 47, 73, 75, 77, 82], "assign": [2, 9, 14, 45, 55, 56, 75], "qview": [2, 5, 10, 12, 15, 19, 38, 39, 46], "observe_result": [2, 3, 12, 35, 64], "encapsul": [2, 11, 35, 47, 55, 81], "observ": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 18, 20, 22, 23, 27, 29, 38, 52, 53, 55, 56, 57, 59, 64, 66, 67, 68, 69, 70, 74, 82], "call": [2, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 15, 19, 21, 22, 23, 24, 25, 27, 29, 31, 37, 38, 39, 42, 46, 52, 55, 56, 59, 60, 62, 65, 66, 67, 68, 70, 71, 74, 75, 77, 79], "measur": [2, 3, 5, 7, 9, 10, 11, 12, 13, 15, 16, 18, 23, 24, 25, 27, 32, 35, 36, 38, 39, 40, 42, 49, 52, 53, 55, 56, 58, 59, 60, 63, 65, 66, 71, 74, 82], "execut": [2, 4, 9, 13, 15, 21, 31, 32, 33, 34, 35, 37, 39, 40, 45, 46, 53, 55, 56, 59, 60, 61, 63, 64, 65, 66, 68, 71, 74, 77, 78, 79, 81, 82, 83], "ansatz": [2, 4, 6, 9, 13, 14, 22, 23, 35, 38, 54, 55, 64], "circuit": [2, 3, 5, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 29, 34, 35, 39, 40, 43, 44, 48, 49, 53, 54, 55, 56, 59, 60, 62, 64, 65, 71, 73], "global": [2, 3, 9, 14, 21, 35, 39, 54, 60, 65, 75], "expect": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 18, 20, 21, 22, 23, 24, 27, 29, 32, 35, 52, 54, 55, 56, 60, 63, 68, 75, 77, 81, 82], "h": [2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 26, 29, 31, 35, 37, 38, 42, 43, 44, 46, 47, 49, 52, 53, 54, 55, 56, 58, 60, 62, 64, 65, 66, 67, 68, 70, 71, 73, 74, 75, 77, 79, 81, 82], "precomput": 2, "psi": [2, 6, 7, 10, 12, 16, 24, 31, 35, 38, 60, 69, 70], "sample_result": [2, 3, 19, 24, 35, 65, 81], "wa": [2, 3, 4, 7, 9, 12, 21, 35, 55, 56, 66, 71, 75, 78, 82], "shot": [2, 3, 8, 9, 10, 17, 18, 19, 24, 35, 38, 53, 56, 60, 65, 66, 69, 70, 74], "base": [2, 3, 8, 9, 11, 13, 15, 18, 19, 21, 23, 28, 33, 34, 35, 37, 41, 42, 47, 52, 53, 54, 55, 56, 60, 68, 71, 74, 75, 77, 79, 83], "raw_data": [2, 9, 35], "raw": [2, 3, 9], "convers": [2, 35], "simpli": [2, 31, 70, 77, 82], "ignor": [2, 9, 19, 56], "fine": [2, 35, 66, 67, 70], "grain": [2, 35, 66, 67], "explicitli": [2, 9, 10, 49, 53, 56, 71, 79, 81], "request": [2, 3, 35, 53, 54, 55, 56, 65, 77], "oppos": [2, 81], "observe_data": 2, "spinoptyp": [2, 35], "sub": [2, 3, 34, 35, 38, 39, 47, 48, 52, 77], "id_coeffici": [2, 35], "observe_opt": [2, 35], "option": [2, 3, 4, 7, 9, 10, 12, 13, 17, 18, 22, 23, 24, 29, 30, 35, 37, 42, 45, 52, 53, 54, 55, 60, 64, 65, 67, 68, 74, 75, 77], "async_observ": 2, "param": [2, 4, 13, 14, 17, 38, 39, 42, 54, 68], "run": [2, 3, 5, 7, 8, 9, 11, 12, 17, 18, 23, 24, 32, 33, 34, 35, 38, 52, 53, 54, 55, 56, 57, 59, 64, 65, 66, 67, 68, 71, 74, 75, 77, 78, 81, 82, 83], "applic": [2, 4, 5, 7, 9, 10, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 28, 32, 35, 42, 46, 52, 53, 56, 59, 60, 62, 63, 77, 78, 81, 82], "num_trajectori": [2, 3, 56], "trajectori": [2, 3], "presenc": 2, "simul": [2, 4, 6, 8, 10, 12, 17, 18, 19, 23, 24, 25, 29, 30, 31, 32, 33, 34, 35, 51, 52, 53, 57, 59, 60, 63, 65, 66, 68, 69, 71, 72, 75, 82, 83], "noisi": [2, 17, 18, 21, 32, 63, 65], "quantumkernel": [2, 35, 46], "arg": [2, 3, 9, 11, 15, 18, 35, 37, 42, 46, 52, 55, 60, 71, 77], "is_invocable_r_v": 2, "member": [2, 3, 14, 39], "conveni": [2, 15, 28, 43, 49, 75, 77], "what": [2, 3, 4, 8, 9, 10, 14, 16, 18, 19, 23, 31, 32, 33, 57, 68, 74, 81, 83], "": [2, 3, 4, 5, 9, 10, 12, 14, 15, 16, 17, 18, 20, 21, 23, 24, 27, 29, 31, 32, 33, 35, 42, 45, 49, 52, 53, 54, 55, 56, 58, 59, 60, 64, 65, 66, 67, 68, 71, 73, 75, 77, 78, 79, 82, 83], "spinopcontain": 2, "termlist": 2, "everi": [2, 3, 14, 17, 18, 20, 33, 54, 55, 59, 60, 65, 66, 75, 82, 83], "concept": [2, 34, 35, 39, 41], "executioncontext": 2, "abstract": [2, 3, 28, 34, 35, 37, 42, 43, 45, 47, 55, 59], "how": [2, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 28, 29, 31, 33, 35, 37, 42, 52, 54, 55, 56, 59, 60, 62, 63, 65, 66, 67, 68, 71, 74, 75, 77, 78, 81, 82, 83], "shots_": 2, "basic": [2, 6, 32, 54, 62, 77, 82], "invoc": [2, 3, 37, 39, 45, 47, 55, 56, 74], "expectationvalu": 2, "nullopt": 2, "optimization_result": [2, 35], "optresult": 2, "optim": [2, 4, 6, 8, 9, 11, 12, 13, 14, 18, 19, 23, 32, 33, 34, 44, 47, 49, 52, 53, 54, 56, 63, 71, 73, 75, 77, 83], "hasconditionalsonmeasureresult": 2, "fals": [2, 3, 4, 8, 9, 12, 13, 16, 17, 19, 20, 21, 56, 75, 77], "being": [2, 3, 5, 6, 16, 27, 34, 35, 49, 56, 65, 81], "statement": [2, 7, 26, 35, 36, 59], "noise_model": [2, 3, 13, 17, 18, 27, 56], "noisemodel": [2, 3, 13, 17, 18, 27, 56], "nullptr": 2, "canhandleobserv": 2, "flag": [2, 13, 33, 39, 52, 53, 55, 56, 65, 71, 73, 77, 81, 83], "handl": [2, 3, 7, 9, 20, 52, 53, 54, 55, 56, 65, 74, 77, 81], "task": [2, 5, 9, 13, 21, 24, 25, 31, 35, 43, 55, 56, 60, 71, 74], "under": [2, 3, 13, 18, 21, 33, 52, 53, 73, 74, 75, 77, 81, 83], "asyncexec": 2, "occur": [2, 3, 7, 9, 12, 18, 26, 35, 40, 65, 70, 77], "asynchron": [2, 3, 10, 12, 13, 24, 35, 45, 55, 60, 65, 68], "detail": [2, 3, 4, 8, 10, 13, 14, 17, 33, 34, 40, 52, 53, 54, 56, 74, 75, 77, 82, 83], "futur": [2, 3, 35, 51, 53, 55, 56, 65, 75, 77], "futureresult": 2, "store": [2, 3, 4, 12, 13, 16, 20, 40, 47, 55, 60, 65, 68, 69, 70, 71], "async_result": [2, 65], "asyncresult": [2, 68], "async_sample_result": [2, 35, 55], "so": [2, 5, 8, 9, 10, 12, 13, 14, 16, 17, 18, 19, 21, 23, 25, 29, 31, 33, 35, 52, 53, 55, 56, 66, 70, 71, 73, 74, 75, 77, 81, 82, 83], "boundari": [2, 11], "unique_ptr": 2, "simulationst": 2, "pointer": [2, 3, 81], "amplitudemap": 2, "amplitud": [2, 3, 5, 15, 17, 21, 52, 53, 55, 62, 65, 68, 69, 70], "overlapcomputest": 2, "overlap": [2, 3, 12, 55], "overlapresult": 2, "trace": [2, 3, 16, 21, 27, 54], "kerneltrac": 2, "tracer": 2, "persist": [2, 35, 40, 54, 77], "resourc": [2, 4, 19, 23, 29, 45, 54, 55, 56, 60, 75, 77], "kernelnam": [2, 3], "batchiter": 2, "batch": [2, 29, 40, 56], "observe_n": 2, "sample_n": 2, "totaliter": 2, "registernam": [2, 35], "mid": [2, 3, 56], "mode": [2, 3, 9, 24, 33, 38, 40, 52, 53, 65, 71, 75, 83], "keep": [2, 5, 18, 35, 56], "track": [2, 35, 56, 69, 70], "reorderidx": 2, "inform": [2, 3, 5, 7, 9, 12, 13, 16, 19, 21, 23, 28, 33, 35, 40, 42, 45, 47, 53, 54, 55, 56, 60, 65, 68, 69, 70, 71, 75, 77, 79, 80, 82, 83], "reorder": 2, "after": [2, 3, 4, 7, 9, 13, 16, 31, 35, 53, 60, 62, 65, 71, 75, 77], "empti": [2, 3, 12, 37, 43, 56, 65, 77], "mean": [2, 3, 5, 13, 15, 16, 17, 21, 23, 42, 49, 56, 65, 68, 77, 82], "char": [2, 38, 55, 60, 75, 81, 82], "invocationresultbuff": 2, "buffer": [2, 55, 81], "note": [2, 3, 9, 10, 14, 16, 18, 19, 20, 21, 24, 31, 33, 38, 40, 49, 53, 54, 55, 60, 62, 65, 69, 70, 71, 75, 77, 81, 83], "need": [2, 3, 4, 5, 9, 13, 14, 15, 18, 19, 23, 24, 25, 27, 31, 49, 52, 53, 54, 55, 56, 60, 64, 65, 68, 74, 75, 77, 78, 81], "abl": [2, 9, 13, 24, 35, 53, 54, 55, 60, 77, 81, 82], "numbertrajectori": 2, "calcul": [2, 3, 5, 6, 7, 9, 11, 16, 19, 21, 24, 29, 52, 54, 55, 56, 60, 65, 68], "job": [2, 13, 14, 35, 53, 54, 55, 65, 77], "qpu": [2, 3, 10, 12, 13, 23, 24, 25, 29, 32, 33, 34, 35, 40, 45, 53, 55, 56, 59, 60, 64, 65, 68, 74, 81, 82, 83], "extra": [2, 11, 12, 42, 49, 53], "configur": [2, 8, 9, 13, 22, 45, 53, 54, 55, 56, 65, 68, 71, 74, 75, 77, 78, 81, 82], "later": [2, 7, 9, 12, 13, 16, 17, 35, 39, 55, 65, 75, 77], "server": [2, 53, 55, 65, 77], "file": [2, 4, 9, 13, 25, 35, 42, 53, 54, 55, 60, 61, 65, 68, 71, 73, 74, 75, 77, 78, 79, 81, 82], "read": [2, 3, 13, 14, 19, 62, 65], "wrap": [2, 35, 37, 49, 52], "t": [2, 3, 4, 7, 10, 15, 20, 21, 31, 33, 35, 38, 39, 42, 43, 52, 54, 56, 62, 65, 66, 69, 70, 75, 77, 83], "case": [2, 3, 7, 8, 9, 12, 14, 15, 16, 17, 18, 23, 26, 27, 29, 35, 49, 52, 56, 58, 62, 64, 69, 75, 79, 81], "must": [2, 3, 7, 13, 17, 18, 19, 23, 24, 34, 35, 39, 41, 44, 47, 49, 52, 53, 56, 65, 70, 73, 74, 75, 77, 81, 82], "some": [2, 4, 8, 9, 11, 13, 15, 16, 17, 19, 20, 23, 25, 26, 30, 33, 35, 49, 52, 54, 55, 56, 70, 71, 73, 74, 75, 77, 78, 81, 82, 83], "point": [2, 3, 9, 15, 31, 35, 39, 42, 55, 56, 71, 74, 75, 77], "same": [2, 3, 7, 9, 12, 13, 14, 15, 16, 17, 18, 21, 23, 29, 31, 35, 49, 53, 55, 60, 65, 67, 68, 71, 74, 75, 77, 81], "runtim": [2, 9, 34, 35, 37, 40, 53, 54, 55, 56, 64, 71, 74, 77, 79], "_job": 2, "qpunamein": 2, "config": [2, 4, 56, 74, 75, 77, 82], "info": [2, 21, 54, 56, 61, 71], "requir": [2, 3, 4, 7, 8, 9, 10, 11, 13, 15, 16, 19, 21, 23, 29, 31, 35, 39, 41, 42, 44, 46, 47, 49, 52, 53, 54, 55, 56, 65, 68, 69, 70, 75, 78, 82], "date": 2, "even": [2, 7, 9, 14, 17, 19, 24, 33, 56, 75, 77, 81, 83], "face": [2, 21, 41], "itself": [2, 46, 49, 55, 75, 77], "collect": [2, 3, 4, 8, 12, 13, 16, 60], "pertin": [2, 35, 41, 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Use cudaq::qvector instead.)": [[47, "cudaq-qreg-n-levels-deprecated-use-cudaq-qvector-levels-instead"]], "Example Programs": [[38, "example-programs"]], "Hello World - Simple Bell State": [[38, "hello-world-simple-bell-state"]], "GHZ State Preparation and Sampling": [[38, "ghz-state-preparation-and-sampling"]], "Quantum Phase Estimation": [[38, "quantum-phase-estimation"]], "Deuteron Binding Energy Parameter Sweep": [[38, "deuteron-binding-energy-parameter-sweep"]], "Grover\u2019s Algorithm": [[38, "grover-s-algorithm"]], "Iterative Phase Estimation": [[38, "iterative-phase-estimation"]], "Control Flow": [[36, "control-flow"]], "Quantum Kernels": [[39, "quantum-kernels"]], "Quantum Algorithmic Primitives": [[35, "quantum-algorithmic-primitives"]], "cudaq::sample": [[35, "cudaq-sample"]], "cudaq::observe": [[35, "cudaq-observe"]], "cudaq::optimizer (deprecated, functionality moved to CUDA-Q libraries)": [[35, "cudaq-optimizer-deprecated-functionality-moved-to-cuda-q-libraries"]], 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2, 3, 7, 9, 13, 15, 18, 19, 21, 22, 24, 27, 29, 31, 33, 35, 39, 43, 52, 53, 54, 55, 56, 58, 59, 60, 62, 65, 68, 70, 71, 73, 74, 75, 77, 79, 82, 83], "known": [1, 2, 19, 21, 23, 39, 52, 66, 71], "NOT": [1, 35, 42, 70], "gate": [1, 2, 3, 5, 6, 7, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 25, 27, 31, 32, 33, 42, 46, 47, 49, 53, 56, 58, 62, 66, 67, 74, 83], "appli": [1, 2, 3, 5, 7, 8, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 23, 25, 27, 28, 35, 38, 39, 42, 46, 49, 54, 55, 56, 58, 62, 65, 66, 67, 69, 70, 71, 74], "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, 29, 31, 33, 35, 37, 38, 39, 42, 43, 44, 45, 47, 49, 51, 52, 53, 54, 55, 56, 58, 60, 62, 64, 65, 66, 67, 68, 69, 70, 71, 74, 75, 77, 79, 81, 82, 83], "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, 29, 31, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 52, 53, 54, 55, 56, 58, 60, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 74, 75, 77, 81, 82, 83], "rotat": [1, 3, 9, 10, 13, 14, 15, 18, 19, 27, 31, 42, 43, 58, 64, 74], "\u03c0": 1, "about": [1, 2, 3, 7, 9, 18, 19, 20, 21, 22, 31, 33, 35, 49, 52, 53, 54, 55, 56, 59, 60, 65, 68, 75, 77, 79, 80, 81, 82, 83], "axi": [1, 11, 21, 22, 31], "enabl": [1, 2, 3, 5, 9, 13, 15, 24, 25, 34, 35, 37, 39, 40, 42, 44, 45, 46, 47, 51, 52, 53, 55, 56, 59, 60, 64, 65, 68, 71, 74, 75, 77, 81, 82], "one": [1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 19, 20, 21, 23, 24, 25, 31, 33, 35, 37, 38, 40, 42, 45, 49, 52, 53, 54, 55, 56, 61, 62, 64, 65, 67, 68, 69, 70, 71, 73, 74, 75, 77, 81, 82, 83], "superposit": [1, 5, 7, 14, 31, 35, 38, 47, 55, 58, 60, 69, 70], "comput": [1, 2, 3, 4, 7, 8, 9, 10, 11, 13, 14, 15, 16, 18, 19, 21, 22, 23, 24, 25, 27, 29, 31, 32, 33, 34, 35, 37, 38, 39, 45, 47, 49, 52, 54, 55, 56, 59, 60, 63, 68, 69, 74, 75, 79, 81, 82, 83], "basi": [1, 2, 3, 4, 10, 12, 13, 15, 18, 21, 23, 24, 26, 27, 47, 54, 55, 69, 70], "sqrt": [1, 3, 5, 7, 10, 12, 13, 15, 16, 18, 27, 31, 38, 52, 56, 65, 70, 82], "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, 29, 31, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 49, 52, 53, 54, 55, 56, 60, 62, 64, 65, 67, 68, 69, 70, 71, 75, 77, 79, 81, 82, 83], "an": [1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 26, 27, 28, 29, 30, 31, 32, 33, 35, 37, 39, 40, 42, 43, 45, 46, 47, 49, 50, 52, 53, 54, 55, 56, 58, 60, 62, 64, 65, 67, 68, 69, 70, 71, 72, 73, 74, 75, 77, 79, 82, 83], "arbitrari": [1, 2, 3, 21, 33, 52, 53, 67, 81, 83], "\u03bb": 1, "exp": [1, 2, 12, 19, 38, 43, 52, 69], "i\u03bb": 1, "math": [1, 4, 7, 19, 54, 69], "pi": [1, 8, 9, 11, 14, 15, 17, 19, 20, 22, 23, 25, 29, 31, 38, 39, 44, 46, 52, 53, 54, 65, 69], "std": [1, 2, 3, 35, 37, 38, 39, 42, 43, 45, 46, 47, 54, 55, 56, 60, 65, 66, 68, 73, 74, 79, 81], "number": [1, 2, 3, 4, 7, 8, 9, 10, 11, 12, 14, 15, 17, 18, 19, 21, 22, 23, 24, 25, 28, 29, 31, 35, 38, 43, 45, 47, 49, 52, 53, 54, 55, 56, 58, 60, 64, 65, 66, 67, 68, 69, 70, 71, 74, 77, 82], "\u03b8": 1, "co": [1, 15, 20, 31, 52, 69], "isin": 1, "sin": [1, 15, 31], "its": [1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 15, 16, 17, 18, 27, 33, 34, 35, 45, 47, 49, 50, 54, 55, 56, 60, 62, 65, 66, 70, 71, 74, 75, 77, 81, 82, 83], "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, 31, 33, 35, 37, 38, 39, 40, 42, 43, 44, 45, 46, 47, 53, 54, 55, 56, 62, 65, 68, 69, 71, 75, 77, 81, 83], "i\u03c0": 1, "two": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 14, 16, 17, 18, 19, 20, 21, 23, 27, 29, 31, 40, 49, 52, 53, 55, 56, 60, 62, 64, 65, 67, 69, 70, 77, 81], "qubit_1": [1, 7, 14, 62], "qubit_2": [1, 16], "univers": [1, 2, 9, 16, 21, 54, 70], "three": [1, 10, 18, 19, 21, 23, 40, 53, 54, 64, 69], "paramet": [1, 2, 3, 6, 8, 9, 11, 12, 13, 14, 17, 19, 21, 22, 24, 35, 39, 42, 47, 52, 53, 54, 56, 58, 62, 64, 65, 66, 68, 74, 75], "euler": [1, 52], "angl": [1, 2, 3, 6, 10, 13, 15, 18, 19, 29, 31, 38, 39, 42, 55, 58, 64, 65, 69], "theta": [1, 8, 9, 10, 11, 14, 15, 22, 23, 27, 29, 31, 35, 37, 38, 54, 55, 62, 64, 69], "phi": [1, 3, 4, 10, 35, 37, 53, 65, 69, 71], "\u03c6": 1, "lambda": [1, 2, 8, 9, 12, 13, 14, 18, 19, 20, 23, 29, 35, 38, 39, 44, 52, 65, 67, 68, 71], "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, 25, 27, 29, 31, 38, 39, 44, 46, 52, 53, 55, 56, 62, 65, 68, 75], "m_pi": [1, 38, 46, 65], "m_pi_2": [1, 38, 39, 54], "adj": [1, 42, 62], "method": [1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 18, 19, 20, 21, 22, 23, 28, 29, 35, 37, 42, 47, 52, 53, 55, 56, 60, 62, 65, 66], "ani": [1, 2, 3, 9, 12, 14, 19, 20, 21, 23, 24, 27, 29, 31, 35, 39, 41, 42, 44, 46, 47, 52, 53, 54, 56, 58, 60, 61, 62, 65, 66, 67, 74, 75, 77, 81, 82], "alloc": [1, 2, 3, 6, 14, 21, 35, 37, 38, 39, 40, 47, 55, 56, 58, 60, 66, 67, 74], "now": [1, 4, 5, 7, 9, 13, 14, 15, 16, 19, 21, 22, 23, 33, 49, 53, 60, 65, 66, 67, 68, 77, 82, 83], "again": [1, 5, 23, 24, 35, 49, 77, 79], "initi": [1, 2, 3, 4, 5, 6, 8, 9, 12, 13, 14, 15, 16, 19, 20, 22, 23, 29, 35, 52, 53, 55, 62, 65, 68, 69, 70, 75, 77], "ctrl": [1, 2, 5, 7, 14, 17, 19, 24, 29, 31, 35, 37, 38, 42, 54, 55, 58, 62, 64, 65, 66, 67, 70, 71, 77, 82], "condit": [1, 2, 15, 16, 21, 27, 35, 36, 37, 39, 40, 56, 59, 70, 71], "more": [1, 2, 3, 4, 5, 8, 9, 10, 12, 13, 14, 15, 18, 19, 21, 23, 28, 31, 33, 37, 40, 42, 43, 49, 53, 54, 55, 56, 59, 60, 62, 65, 68, 70, 75, 77, 79, 81, 82, 83], "wikipedia": [1, 52], "entri": [1, 3, 12, 35, 39, 55, 62, 65, 71, 77, 81], "ctrl_1": 1, "ctrl_2": 1, "00": [1, 4, 9, 13, 16, 24, 25, 27, 29, 56, 60, 68, 69, 70, 81, 82], "11": [1, 3, 4, 9, 11, 13, 16, 17, 18, 20, 21, 23, 24, 25, 27, 29, 31, 35, 52, 56, 60, 68, 69, 70, 71, 75, 77, 81, 82], "onli": [1, 2, 3, 5, 7, 9, 16, 18, 19, 21, 23, 24, 26, 31, 33, 35, 39, 40, 44, 47, 49, 52, 53, 54, 55, 59, 65, 70, 71, 73, 75, 77, 81, 82, 83], "both": [1, 3, 4, 5, 7, 11, 13, 19, 40, 49, 53, 55, 56, 70, 75, 77, 79], "000": [1, 15, 16, 18, 19, 54, 60], "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, 26, 28, 29, 31, 33, 35, 37, 39, 42, 43, 44, 45, 46, 47, 48, 49, 51, 52, 53, 54, 55, 56, 58, 60, 61, 62, 64, 65, 66, 71, 73, 74, 75, 77, 78, 79, 81, 82, 83], "common": [1, 3, 9, 10, 18, 19, 21, 22, 23, 35, 39, 42, 43, 71, 75], "convent": [1, 8, 11, 14, 24, 25], "all": [1, 2, 3, 9, 13, 16, 17, 18, 19, 20, 21, 23, 24, 25, 29, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 42, 44, 45, 47, 49, 52, 53, 54, 55, 56, 60, 62, 64, 65, 68, 69, 70, 71, 75, 77, 78, 79, 81, 82, 83], "howev": [1, 4, 9, 13, 15, 16, 18, 21, 23, 24, 33, 49, 52, 53, 55, 81, 83], "behavior": [1, 2, 3, 9, 23, 33, 56, 83], "chang": [1, 2, 5, 9, 13, 15, 19, 30, 33, 35, 39, 52, 60, 77, 82, 83], "instead": [1, 2, 4, 9, 27, 41, 44, 53, 55, 56, 60, 75, 77, 81], "when": [1, 2, 3, 9, 12, 13, 14, 18, 19, 21, 33, 35, 40, 47, 49, 54, 55, 56, 60, 64, 65, 66, 71, 74, 75, 77, 81, 82, 83], "negat": [1, 2, 3, 42, 46, 47], "polar": [1, 42, 46, 56], "syntax": [1, 9, 33, 34, 39, 40, 42, 44, 53, 62, 65, 79, 83], "preced": [1, 42, 53], "01": [1, 4, 7, 13, 16, 21, 27, 29, 56, 69, 70], "10": [1, 4, 9, 10, 11, 12, 13, 14, 16, 17, 18, 20, 21, 23, 25, 27, 29, 31, 35, 38, 39, 56, 60, 62, 65, 66, 68, 69, 70, 71, 75, 77, 79], "notat": [1, 16, 69, 70], "context": [1, 2, 11, 40, 55, 56, 74], "valid": [1, 2, 3, 32, 39, 53, 56, 62, 65, 75, 77, 81], "either": [1, 7, 11, 14, 19, 40, 53, 55, 56, 65, 69, 70, 75, 77, 82], "similarli": [1, 7, 23, 55, 61, 70], "condition": 1, "respect": [1, 2, 3, 4, 8, 13, 14, 19, 23, 29, 35, 52, 53, 55, 60, 64, 68, 69, 70, 75, 77, 82], "e": [1, 2, 3, 4, 7, 8, 9, 10, 12, 14, 15, 16, 18, 19, 20, 21, 22, 28, 31, 34, 35, 36, 38, 39, 40, 41, 42, 43, 49, 52, 53, 54, 55, 56, 65, 71, 74, 75, 77, 81, 82], "project": [1, 56, 74, 75, 77, 78, 81], "onto": [1, 70], "eigenvector": [1, 2, 10, 12], "non": [1, 2, 3, 8, 10, 12, 18, 19, 33, 35, 39, 40, 47, 55, 56, 60, 64, 66, 83], "linear": [1, 5, 9, 11, 12, 15, 22, 27, 54, 60, 65, 69, 70], "avail": [1, 2, 3, 8, 9, 10, 21, 23, 29, 32, 33, 34, 35, 39, 40, 42, 45, 46, 47, 48, 51, 52, 53, 54, 55, 56, 59, 60, 62, 63, 64, 65, 71, 75, 77, 82, 83], "first": [1, 2, 3, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 27, 29, 31, 32, 35, 47, 53, 54, 55, 56, 57, 62, 64, 65, 66, 67, 71, 77, 82], "api": [1, 13, 24, 28, 31, 32, 33, 35, 37, 41, 42, 45, 47, 52, 53, 54, 55, 56, 60, 62, 65, 66, 74, 75, 77, 79, 81, 83], "regist": [1, 2, 3, 5, 10, 13, 15, 19, 22, 26, 35, 38, 40, 47, 53, 55, 62, 65, 66, 67, 71, 74], "outsid": [1, 9, 33, 77, 81, 83], "Then": [1, 7, 18, 21, 26, 53, 65, 73, 74], "within": [1, 2, 3, 13, 22, 33, 35, 39, 41, 43, 47, 53, 55, 56, 59, 60, 62, 65, 66, 70, 73, 75, 77, 78, 79, 81, 82, 83], "like": [1, 2, 3, 4, 7, 8, 9, 10, 12, 13, 14, 15, 16, 19, 21, 22, 23, 24, 29, 30, 33, 35, 39, 47, 53, 55, 60, 62, 65, 66, 68, 69, 70, 71, 75, 77, 78, 81, 82, 83], "built": [1, 2, 4, 6, 8, 9, 12, 15, 23, 24, 27, 33, 53, 56, 59, 60, 75, 81, 82, 83], "abov": [1, 2, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 21, 23, 24, 35, 37, 42, 52, 53, 54, 55, 56, 60, 62, 64, 65, 67, 69, 70, 71, 74, 75, 77, 79, 81, 82], "level": [1, 2, 3, 13, 23, 25, 30, 33, 34, 35, 40, 42, 52, 53, 54, 55, 56, 69, 71, 74, 78, 83], "register_oper": [1, 13, 62], "accept": [1, 2, 3, 23, 24, 58, 75, 77, 82], "identifi": [1, 2, 3, 4, 13, 14, 19, 21, 75, 77], "string": [1, 2, 3, 5, 19, 25, 28, 31, 35, 37, 38, 45, 52, 56, 60, 66, 71, 77, 81], "numpi": [1, 3, 4, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 29, 31, 38, 52, 62, 65, 68, 75], "arrai": [1, 2, 3, 4, 7, 10, 12, 13, 15, 16, 17, 18, 21, 24, 25, 27, 29, 47, 49, 52, 53, 55, 56, 62, 65, 66, 68, 71], "complex": [1, 2, 3, 4, 7, 8, 12, 16, 20, 27, 43, 49, 52, 55, 60, 62, 68, 69, 70, 81], "A": [1, 2, 3, 4, 7, 8, 9, 10, 12, 14, 16, 17, 18, 19, 20, 22, 29, 30, 31, 35, 38, 39, 42, 49, 52, 53, 60, 62, 65, 67, 68, 69, 70, 73, 74, 75, 77], "1d": [1, 2], "interpret": [1, 8, 59, 65, 75], "row": [1, 2, 3, 31, 62], "major": [1, 75], "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, 31, 38, 43, 52, 53, 54, 55, 56, 58, 60, 62, 64, 65, 66, 68, 69, 70, 71, 75, 81, 82], "custom_h": 1, "custom_x": [1, 62], "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, 29, 31, 35, 38, 39, 44, 46, 52, 54, 55, 56, 58, 60, 62, 64, 65, 66, 67, 68, 69, 70, 77, 82], "bell": [1, 13, 16, 35, 81], "sampl": [1, 2, 3, 5, 7, 8, 9, 13, 14, 17, 18, 19, 21, 27, 37, 53, 54, 55, 56, 57, 59, 62, 65, 66, 67, 68, 69, 70, 74, 77, 81, 82], "dump": [1, 2, 3, 27, 35, 38, 54, 55, 56, 60, 65, 66, 68, 81, 82], "macro": [1, 74], "cudaq_register_oper": 1, "uniqu": [1, 2, 3, 9, 14, 18, 21, 35, 40, 42, 47, 55, 79], "name": [1, 2, 3, 9, 13, 14, 16, 19, 35, 37, 42, 45, 51, 52, 53, 54, 55, 56, 64, 68, 70, 71, 74, 75, 77, 78, 81, 82], "represent": [1, 2, 3, 15, 16, 21, 24, 25, 31, 35, 39, 49, 52, 56, 71, 73, 74], "includ": [1, 2, 3, 4, 12, 13, 14, 17, 23, 33, 35, 38, 47, 52, 54, 56, 58, 59, 60, 62, 64, 65, 66, 67, 71, 73, 74, 75, 77, 79, 81, 82, 83], "m_sqrt1_2": 1, "__qpu__": [1, 2, 35, 38, 39, 46, 54, 55, 56, 58, 60, 64, 65, 66, 67, 71, 81, 82], "void": [1, 2, 3, 35, 37, 38, 39, 42, 43, 45, 46, 47, 56, 58, 60, 65, 67, 71, 73, 74, 79, 81, 82], "bell_pair": [1, 2, 3], "r": [1, 4, 13, 18, 19, 42, 47, 53, 54, 55, 56, 64, 65, 71, 77], "int": [1, 2, 3, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 23, 24, 25, 27, 35, 38, 39, 46, 47, 52, 54, 55, 56, 58, 60, 62, 64, 65, 66, 67, 68, 71, 74, 75, 79, 81, 82], "main": [1, 4, 5, 9, 19, 21, 33, 35, 38, 49, 54, 56, 60, 64, 65, 66, 67, 71, 75, 77, 79, 81, 82, 83], "auto": [1, 2, 35, 37, 38, 39, 43, 46, 47, 54, 55, 56, 58, 60, 64, 65, 66, 67, 71, 73, 81, 82], "count": [1, 2, 3, 5, 8, 9, 10, 12, 13, 14, 18, 19, 24, 25, 35, 37, 38, 47, 53, 54, 55, 56, 60, 65, 66, 67, 68, 71, 74], "bit": [1, 2, 3, 4, 5, 7, 13, 16, 17, 18, 19, 24, 25, 27, 35, 38, 40, 47, 49, 55, 56, 65, 66, 67, 69, 70, 74], "printf": [1, 35, 38, 47, 55, 64, 66, 67, 75], "n": [1, 2, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 20, 21, 23, 35, 37, 38, 39, 42, 43, 46, 52, 54, 55, 56, 60, 62, 64, 65, 66, 67, 68, 69, 70, 71, 75, 79, 82], "data": [1, 2, 8, 11, 12, 13, 14, 15, 22, 32, 35, 39, 41, 43, 49, 55, 56, 64, 66, 67, 71, 74, 76, 77, 79, 81], "multi": [1, 4, 15, 16, 24, 25, 31, 32, 33, 34, 37, 40, 42, 46, 51, 53, 54, 60, 62, 63, 64, 69, 70, 74, 75, 81, 82, 83], "msb": 1, "order": [1, 2, 3, 4, 9, 12, 13, 14, 16, 31, 35, 43, 52, 53, 56, 60, 64], "big": [1, 8, 17, 24], "endian": [1, 17, 24, 25], "show": [1, 8, 9, 11, 13, 14, 15, 16, 18, 21, 22, 23, 31, 52, 55, 62, 64, 65, 75, 77], "differ": [1, 2, 3, 7, 9, 10, 11, 12, 13, 15, 16, 18, 19, 23, 24, 29, 31, 49, 53, 54, 55, 59, 60, 65, 68, 75, 77, 79, 82], "test": [1, 9, 11, 12, 17, 18, 19, 23, 32, 37, 68, 75, 77], "cnot": [1, 5, 9, 42, 58, 62, 70, 81], "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, 25, 27, 29, 31, 35, 38, 47, 52, 54, 55, 56, 60, 62, 64, 65, 66, 67, 68, 69, 70, 71, 75, 81, 82], "500": [1, 23, 70, 82], "exact": [1, 9, 10, 13, 17, 21, 56], "random": [1, 2, 3, 4, 5, 8, 9, 13, 14, 16, 17, 18, 19, 21, 22, 23, 29, 31, 55, 56, 68], "construct": [1, 2, 8, 9, 10, 12, 17, 18, 20, 23, 29, 31, 32, 33, 35, 36, 37, 39, 47, 49, 52, 55, 58, 59, 60, 62, 63, 66, 71, 83], "second": [1, 2, 3, 4, 7, 8, 9, 12, 14, 18, 20, 47, 52, 54, 56, 60, 62, 65], "1j": [1, 12, 13], "xy": [1, 31], "kron": [1, 18], "my_xi": 1, "custom_xy_test": 1, "undo": 1, "prior": [1, 56, 65, 69, 70, 75, 77, 82], "1000": [1, 3, 9, 11, 13, 17, 18, 21, 24, 25, 27, 35, 53, 56, 60, 66, 68, 69, 70, 82], "mycnot": 1, "myxi": 1, "hardwar": [1, 9, 15, 19, 21, 24, 32, 33, 51, 56, 60, 63, 81, 83], "synthes": [1, 3, 21, 42, 46, 71], "current": [1, 2, 3, 9, 31, 33, 35, 45, 53, 55, 56, 74, 77, 81, 83], "orca": [1, 2, 25, 33, 51, 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28, 29, 31, 35, 38, 39, 40, 42, 43, 44, 45, 47, 52, 53, 54, 55, 56, 60, 62, 65, 66, 68, 71, 74, 75, 77], "overrid": [2, 3, 35, 56, 73, 75], "repeat": [2, 17, 18, 19, 23, 35], "from_word": 2, "pauliword": 2, "word": [2, 3, 8, 12, 19, 20], "g": [2, 3, 9, 14, 19, 20, 21, 28, 34, 35, 36, 39, 40, 41, 42, 43, 49, 52, 53, 54, 55, 56, 65, 71, 74, 75, 77, 78, 81, 82], "xyx": 2, "3rd": 2, "typenam": [2, 35, 37, 38, 39, 42, 46, 47, 79, 81], "qualifiedspinop": 2, "struct": [2, 35, 37, 38, 39, 42, 46, 54, 55, 56, 64, 65, 66, 67, 71, 73, 81], "constexpr": [2, 37, 47, 54], "dyn": [2, 47], "qudit": [2, 25, 36, 40, 42, 69], "system": [2, 3, 4, 9, 12, 13, 16, 20, 22, 23, 24, 25, 30, 33, 35, 40, 45, 47, 49, 52, 53, 55, 56, 59, 60, 64, 65, 68, 69, 70, 73, 75, 78, 79, 81, 82, 83], "inlin": [2, 35, 71], "new": [2, 3, 4, 8, 9, 12, 15, 21, 32, 33, 35, 37, 49, 59, 71, 72, 75, 77, 81, 82, 83], "enable_if_t": 2, "qreg": [2, 3, 12, 14, 54], "contain": [2, 3, 4, 9, 10, 13, 14, 18, 21, 32, 33, 35, 40, 42, 45, 49, 54, 56, 59, 60, 64, 65, 71, 74, 75, 81, 82, 83], "dynam": [2, 13, 32, 33, 37, 39, 40, 47, 53, 56, 58, 59, 71, 81, 83], "time": [2, 3, 4, 9, 10, 12, 13, 14, 15, 17, 18, 19, 20, 23, 24, 25, 26, 27, 31, 32, 33, 34, 35, 38, 40, 47, 48, 53, 54, 55, 56, 60, 65, 66, 68, 69, 70, 71, 75, 77, 82, 83], "By": [2, 9, 10, 23, 30, 35, 42, 52, 53, 54, 55, 56, 60, 65, 79], "value_typ": 2, "indic": [2, 3, 4, 8, 21, 39, 42, 43, 47, 52, 74], "underli": [2, 3, 9, 23, 35, 45, 47, 53, 55, 74], "interfac": [2, 3, 47, 56, 74, 75, 77, 79], "idx": [2, 3, 11, 13, 19, 21, 47, 52, 55], "qspan": 2, "front": [2, 38, 46, 47, 67], "back": [2, 21, 38, 47, 49, 55, 65, 66, 77], "last": [2, 18, 19, 21, 38, 47, 55, 62, 64], "slice": [2, 3, 47], "clear": [2, 3, 16, 35, 47, 74], "destroi": [2, 47], "postcondit": [2, 47], "own": [2, 3, 9, 18, 27, 40, 45, 47, 56, 71, 74, 75, 77, 81], "semant": [2, 3, 34, 39, 40, 41, 44, 46, 47, 49, 71], "held": 2, "explicit": [2, 10, 35, 46, 52, 56, 65, 81], "determin": [2, 4, 5, 7, 8, 9, 17, 20, 23, 32, 56, 60], "check": [2, 9, 19, 21, 33, 53, 54, 65, 70, 75, 77, 82, 83], "norm": [2, 18], "pre": [2, 3, 13, 21, 33, 35, 53, 56, 65, 67, 75, 81, 83], "exist": [2, 3, 8, 16, 21, 31, 33, 34, 35, 40, 41, 60, 73, 75, 77, 81, 82, 83], "could": [2, 9, 10, 12, 19, 23, 31, 33, 54, 58, 70, 75, 83], "from_data": [2, 3, 52], "retriev": [2, 3, 13, 24, 35, 52, 55, 65], "get_stat": [2, 3, 10, 15, 16, 17, 20, 21, 24, 25, 31, 55, 62], "delet": [2, 47, 53, 77, 81], "cannot": [2, 3, 15, 25, 31, 38, 39, 47, 49, 70, 77], "move": [2, 11, 47, 73, 75, 77, 82], "assign": [2, 9, 14, 45, 55, 56, 75], "qview": [2, 5, 10, 12, 15, 19, 38, 39, 46], "observe_result": [2, 3, 12, 35, 64], "encapsul": [2, 11, 35, 47, 55, 81], "observ": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 18, 20, 22, 23, 27, 29, 38, 52, 53, 55, 56, 57, 59, 64, 66, 67, 68, 69, 70, 74, 82], "call": [2, 3, 4, 5, 6, 7, 9, 11, 12, 13, 14, 15, 19, 21, 22, 23, 24, 25, 27, 29, 31, 37, 38, 39, 42, 46, 52, 55, 56, 59, 60, 62, 65, 66, 67, 68, 70, 71, 74, 75, 77, 79], "measur": [2, 3, 5, 7, 9, 10, 11, 12, 13, 15, 16, 18, 23, 24, 25, 27, 32, 35, 36, 38, 39, 40, 42, 49, 52, 53, 55, 56, 58, 59, 60, 63, 65, 66, 71, 74, 82], "execut": [2, 4, 9, 13, 15, 21, 31, 32, 33, 34, 35, 37, 39, 40, 45, 46, 53, 55, 56, 59, 60, 61, 63, 64, 65, 66, 68, 71, 74, 77, 78, 79, 81, 82, 83], "ansatz": [2, 4, 6, 9, 13, 14, 22, 23, 35, 38, 54, 55, 64], "circuit": [2, 3, 5, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 29, 34, 35, 39, 40, 43, 44, 48, 49, 53, 54, 55, 56, 59, 60, 62, 64, 65, 71, 73], "global": [2, 3, 9, 14, 21, 35, 39, 54, 60, 65, 75], "expect": [2, 3, 4, 6, 8, 9, 10, 11, 12, 13, 14, 18, 20, 21, 22, 23, 24, 27, 29, 32, 35, 52, 54, 55, 56, 60, 63, 68, 75, 77, 81, 82], "h": [2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 24, 26, 29, 31, 35, 37, 38, 42, 43, 44, 46, 47, 49, 52, 53, 54, 55, 56, 58, 60, 62, 64, 65, 66, 67, 68, 70, 71, 73, 74, 75, 77, 79, 81, 82], "precomput": 2, "psi": [2, 6, 7, 10, 12, 16, 24, 31, 35, 38, 60, 69, 70], "sample_result": [2, 3, 19, 24, 35, 65, 81], "wa": [2, 3, 4, 7, 9, 12, 21, 35, 55, 56, 66, 71, 75, 78, 82], "shot": [2, 3, 8, 9, 10, 17, 18, 19, 24, 35, 38, 53, 56, 60, 65, 66, 69, 70, 74], "base": [2, 3, 8, 9, 11, 13, 15, 18, 19, 21, 23, 28, 33, 34, 35, 37, 41, 42, 47, 52, 53, 54, 55, 56, 60, 68, 71, 74, 75, 77, 79, 83], "raw_data": [2, 9, 35], "raw": [2, 3, 9], "convers": [2, 35], "simpli": [2, 31, 70, 77, 82], "ignor": [2, 9, 19, 56], "fine": [2, 35, 66, 67, 70], "grain": [2, 35, 66, 67], "explicitli": [2, 9, 10, 49, 53, 56, 71, 79, 81], "request": [2, 3, 35, 53, 54, 55, 56, 65, 77], "oppos": [2, 81], "observe_data": 2, "spinoptyp": [2, 35], "sub": [2, 3, 34, 35, 38, 39, 47, 48, 52, 77], "id_coeffici": [2, 35], "observe_opt": [2, 35], "option": [2, 3, 4, 7, 9, 10, 12, 13, 17, 18, 22, 23, 24, 29, 30, 35, 37, 42, 45, 52, 53, 54, 55, 60, 64, 65, 67, 68, 74, 75, 77], "async_observ": 2, "param": [2, 4, 13, 14, 17, 38, 39, 42, 54, 68], "run": [2, 3, 5, 7, 8, 9, 11, 12, 17, 18, 23, 24, 32, 33, 34, 35, 38, 52, 53, 54, 55, 56, 57, 59, 64, 65, 66, 67, 68, 71, 74, 75, 77, 78, 81, 82, 83], "applic": [2, 4, 5, 7, 9, 10, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 28, 32, 35, 42, 46, 52, 53, 56, 59, 60, 62, 63, 77, 78, 81, 82], "num_trajectori": [2, 3, 56], "trajectori": [2, 3], "presenc": 2, "simul": [2, 4, 6, 8, 10, 12, 17, 18, 19, 23, 24, 25, 29, 30, 31, 32, 33, 34, 35, 51, 52, 53, 57, 59, 60, 63, 65, 66, 68, 69, 71, 72, 75, 82, 83], "noisi": [2, 17, 18, 21, 32, 63, 65], "quantumkernel": [2, 35, 46], "arg": [2, 3, 9, 11, 15, 18, 35, 37, 42, 46, 52, 55, 60, 71, 77], "is_invocable_r_v": 2, "member": [2, 3, 14, 39], "conveni": [2, 15, 28, 43, 49, 75, 77], "what": [2, 3, 4, 8, 9, 10, 14, 16, 18, 19, 23, 31, 32, 33, 57, 68, 74, 81, 83], "": [2, 3, 4, 5, 9, 10, 12, 14, 15, 16, 17, 18, 20, 21, 23, 24, 27, 29, 31, 32, 33, 35, 42, 45, 49, 52, 53, 54, 55, 56, 58, 59, 60, 64, 65, 66, 67, 68, 71, 73, 75, 77, 78, 79, 82, 83], "spinopcontain": 2, "termlist": 2, "everi": [2, 3, 14, 17, 18, 20, 33, 54, 55, 59, 60, 65, 66, 75, 82, 83], "concept": [2, 34, 35, 39, 41], "executioncontext": 2, "abstract": [2, 3, 28, 34, 35, 37, 42, 43, 45, 47, 55, 59], "how": [2, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 28, 29, 31, 33, 35, 37, 42, 52, 54, 55, 56, 59, 60, 62, 63, 65, 66, 67, 68, 71, 74, 75, 77, 78, 81, 82, 83], "shots_": 2, "basic": [2, 6, 32, 54, 62, 77, 82], "invoc": [2, 3, 37, 39, 45, 47, 55, 56, 74], "expectationvalu": 2, "nullopt": 2, "optimization_result": [2, 35], "optresult": 2, "optim": [2, 4, 6, 8, 9, 11, 12, 13, 14, 18, 19, 23, 32, 33, 34, 44, 47, 49, 52, 53, 54, 56, 63, 71, 73, 75, 77, 83], "hasconditionalsonmeasureresult": 2, "fals": [2, 3, 4, 8, 9, 12, 13, 16, 17, 19, 20, 21, 56, 75, 77], "being": [2, 3, 5, 6, 16, 27, 34, 35, 49, 56, 65, 81], "statement": [2, 7, 26, 35, 36, 59], "noise_model": [2, 3, 13, 17, 18, 27, 56], "noisemodel": [2, 3, 13, 17, 18, 27, 56], "nullptr": 2, "canhandleobserv": 2, "flag": [2, 13, 33, 39, 52, 53, 55, 56, 65, 71, 73, 77, 81, 83], "handl": [2, 3, 7, 9, 20, 52, 53, 54, 55, 56, 65, 74, 77, 81], "task": [2, 5, 9, 13, 21, 24, 25, 31, 35, 43, 55, 56, 60, 71, 74], "under": [2, 3, 13, 18, 21, 33, 52, 53, 73, 74, 75, 77, 81, 83], "asyncexec": 2, "occur": [2, 3, 7, 9, 12, 18, 26, 35, 40, 65, 70, 77], "asynchron": [2, 3, 10, 12, 13, 24, 35, 45, 55, 60, 65, 68], "detail": [2, 3, 4, 8, 10, 13, 14, 17, 33, 34, 40, 52, 53, 54, 56, 74, 75, 77, 82, 83], "futur": [2, 3, 35, 51, 53, 55, 56, 65, 75, 77], "futureresult": 2, "store": [2, 3, 4, 12, 13, 16, 20, 40, 47, 55, 60, 65, 68, 69, 70, 71], "async_result": [2, 65], "asyncresult": [2, 68], "async_sample_result": [2, 35, 55], "so": [2, 5, 8, 9, 10, 12, 13, 14, 16, 17, 18, 19, 21, 23, 25, 29, 31, 33, 35, 52, 53, 55, 56, 66, 70, 71, 73, 74, 75, 77, 81, 82, 83], "boundari": [2, 11], "unique_ptr": 2, "simulationst": 2, "pointer": [2, 3, 81], "amplitudemap": 2, "amplitud": [2, 3, 5, 15, 17, 21, 52, 53, 55, 62, 65, 68, 69, 70], "overlapcomputest": 2, "overlap": 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70, 71, 75, 77, 81, 83], "need": [2, 3, 4, 5, 9, 13, 14, 15, 18, 19, 23, 24, 25, 27, 31, 49, 52, 53, 54, 55, 56, 60, 64, 65, 68, 74, 75, 77, 78, 81], "abl": [2, 9, 13, 24, 35, 53, 54, 55, 60, 77, 81, 82], "numbertrajectori": 2, "calcul": [2, 3, 5, 6, 7, 9, 11, 16, 19, 21, 24, 29, 52, 54, 55, 56, 60, 65, 68], "job": [2, 13, 14, 35, 53, 54, 55, 65, 77], "qpu": [2, 3, 10, 12, 13, 23, 24, 25, 29, 32, 33, 34, 35, 40, 45, 53, 55, 56, 59, 60, 64, 65, 68, 74, 81, 82, 83], "extra": [2, 11, 12, 42, 49, 53], "configur": [2, 8, 9, 13, 22, 45, 53, 54, 55, 56, 65, 68, 71, 74, 75, 77, 78, 81, 82], "later": [2, 7, 9, 12, 13, 16, 17, 35, 39, 55, 65, 75, 77], "server": [2, 53, 55, 65, 77], "file": [2, 4, 9, 13, 25, 35, 42, 53, 54, 55, 60, 61, 65, 68, 71, 73, 74, 75, 77, 78, 79, 81, 82], "read": [2, 3, 13, 14, 19, 62, 65], "wrap": [2, 35, 37, 49, 52], "t": [2, 3, 4, 7, 10, 15, 20, 21, 31, 33, 35, 38, 39, 42, 43, 52, 54, 56, 62, 65, 66, 69, 70, 75, 77, 83], "case": [2, 3, 7, 8, 9, 12, 14, 15, 16, 17, 18, 23, 26, 27, 29, 35, 49, 52, 56, 58, 62, 64, 69, 75, 79, 81], "must": [2, 3, 7, 13, 17, 18, 19, 23, 24, 34, 35, 39, 41, 44, 47, 49, 52, 53, 56, 65, 70, 73, 74, 75, 77, 81, 82], "some": [2, 4, 8, 9, 11, 13, 15, 16, 17, 19, 20, 23, 25, 26, 30, 33, 35, 49, 52, 54, 55, 56, 70, 71, 73, 74, 75, 77, 78, 81, 82, 83], "point": [2, 3, 9, 15, 31, 35, 39, 42, 55, 56, 71, 74, 75, 77], "same": [2, 3, 7, 9, 12, 13, 14, 15, 16, 17, 18, 21, 23, 29, 31, 35, 49, 53, 55, 60, 65, 67, 68, 71, 74, 75, 77, 81], "runtim": [2, 9, 34, 35, 37, 40, 53, 54, 55, 56, 64, 71, 74, 77, 79], "_job": 2, "qpunamein": 2, "config": [2, 4, 56, 74, 75, 77, 82], "info": [2, 21, 54, 56, 61, 71], "requir": [2, 3, 4, 7, 8, 9, 10, 11, 13, 15, 16, 19, 21, 23, 29, 31, 35, 39, 41, 42, 44, 46, 47, 49, 52, 53, 54, 55, 56, 65, 68, 69, 70, 75, 78, 82], "date": 2, "even": [2, 7, 9, 14, 17, 19, 24, 33, 56, 75, 77, 81, 83], "face": [2, 21, 41], "itself": [2, 46, 49, 55, 75, 77], "collect": [2, 3, 4, 8, 12, 13, 16, 60], "pertin": [2, 35, 41, 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19, 20, 22, 23, 24, 27, 31, 32, 34, 37, 39, 42, 47, 49, 52, 53, 54, 55, 56, 58, 59, 60, 65, 75, 77, 81, 82], "appendresult": 2, "globalregisternam": [2, 35], "classic": [2, 4, 7, 8, 9, 11, 12, 13, 14, 15, 16, 22, 23, 34, 36, 39, 40, 42, 43, 47, 49, 55, 59, 60, 65, 69, 70, 71, 74, 75, 78, 81], "sequentialdata": 2, "sequenti": [2, 3, 35, 54, 56, 60], "collat": [2, 3], "holist": 2, "nullari": 2, "precomputedexp": 2, "__global__": [2, 3, 35, 54, 65, 79], "has_expect": 2, "string_view": [2, 35, 74], "anoth": [2, 5, 9, 16, 17, 19, 38, 39, 49, 56, 62, 65, 67, 75], "register_nam": [2, 3, 35], "tandem": [2, 68], "to_map": [2, 35], "regnam": 2, "merg": [2, 3, 71], "necessari": [2, 12, 19, 53, 55, 56, 65, 71, 75, 77, 81], "document": [2, 3, 23, 31, 32, 33, 34, 42, 51, 53, 54, 56, 73, 74, 75, 77, 81, 83], "exp_val_z": 2, "deprec": [2, 3, 23, 51, 55, 56], "probabl": [2, 3, 17, 18, 19, 27, 35, 56, 60, 69, 70, 81], "most_prob": [2, 3, 5, 8, 19, 38, 60, 70], "most": [2, 3, 8, 9, 13, 14, 16, 19, 23, 24, 25, 33, 35, 49, 54, 60, 62, 65, 71, 75, 77, 78, 81, 83], "ostream": [2, 81], "output": [2, 3, 4, 7, 11, 16, 19, 21, 31, 39, 52, 53, 57, 60, 71, 77, 81, 82], "stream": [2, 9, 40], "extract": [2, 3, 4, 7, 9, 10, 12, 16, 19, 28, 35, 37, 38, 47, 49, 60, 71, 75, 77], "unord": 2, "get_margin": [2, 35], "marginalindic": [2, 35], "margin": [2, 18], "those": [2, 19, 33, 35, 39, 49, 52, 55, 56, 71, 83], "subset": [2, 3, 9, 11, 21, 35, 39, 47, 49], "rvalu": 2, "refer": [2, 13, 14, 16, 19, 23, 32, 35, 39, 40, 47, 49, 53, 54, 55, 56, 65, 75, 77], "newbitstr": 2, "oldbitstr": 2, "process": [2, 3, 9, 10, 15, 17, 21, 23, 24, 25, 26, 33, 34, 35, 40, 45, 52, 53, 54, 55, 56, 59, 65, 68, 69, 70, 71, 75, 81, 83], "const_iter": 2, "cbegin": 2, "cend": 2, "has_even_par": 2, "pariti": [2, 52], "sample_opt": [2, 35], "async_sampl": 2, "express": [2, 3, 13, 16, 21, 29, 33, 35, 36, 37, 38, 40, 43, 52, 55, 59, 66, 67, 71, 81, 83], "final": [2, 3, 4, 6, 9, 12, 13, 16, 20, 23, 29, 52, 55, 64, 66, 68, 71, 74, 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"host": [75, 77], "runtim": 75, "guid": 76, "docker": 77, "singular": 77, "wheel": 77, "pre": 77, "binari": [77, 81], "develop": 77, "v": 77, "connect": 77, "tunnel": 77, "ssh": 77, "dgx": 77, "jupyterlab": 77, "tool": [77, 80], "pypi": 77, "In": 77, "imag": 77, "updat": 77, "compat": 77, "system": 77, "next": 77, "step": 77, "cmake": 78, "project": 79, "other": 80, "softwar": 80, "call": 81, "interfac": 81, "between": 81, "differ": 81, "valid": 82, "version": 83}, "envversion": {"sphinx.domains.c": 2, "sphinx.domains.changeset": 1, "sphinx.domains.citation": 1, "sphinx.domains.cpp": 8, "sphinx.domains.index": 1, "sphinx.domains.javascript": 2, "sphinx.domains.math": 2, "sphinx.domains.python": 3, "sphinx.domains.rst": 2, "sphinx.domains.std": 2, "sphinx.ext.intersphinx": 1, "nbsphinx": 4, "sphinx": 57}, "alltitles": {"Quantum Intrinsic Operations": [[42, "quantum-intrinsic-operations"]], "Operations on cudaq::qubit": [[42, "operations-on-cudaq-qubit"]], "Machine Model": [[40, "machine-model"]], "Quantum Operators": [[43, "quantum-operators"]], "cudaq::spin_op": [[43, "cudaq-spin-op"]], "Common Quantum Programming Patterns": [[44, "common-quantum-programming-patterns"]], "Compute-Action-Uncompute": [[44, "compute-action-uncompute"]], "Namespace and Standard": [[41, "namespace-and-standard"]], "Specifications": [[48, "specifications"]], "Quake Dialect": [[49, "quake-dialect"]], "General Introduction": [[49, "general-introduction"]], "Motivation": [[49, "motivation"]], "Quantum Platform": [[45, "quantum-platform"]], "Sub-circuit Synthesis": [[46, "sub-circuit-synthesis"]], "Quantum Types": [[47, "quantum-types"]], "cudaq::qudit": [[47, "cudaq-qudit-levels"]], "cudaq::qubit": [[47, "cudaq-qubit"]], "Quantum Containers": [[47, "quantum-containers"]], "cudaq::qview": [[47, "cudaq-qview-levels-2"]], "cudaq::qvector": [[47, "cudaq-qvector-levels-2"]], "cudaq::qarray": [[47, "cudaq-qarray-n-levels-2"]], "cudaq::qspan (Deprecated. Use cudaq::qview instead.)": [[47, "cudaq-qspan-n-levels-deprecated-use-cudaq-qview-levels-instead"]], "cudaq::qreg (Deprecated. Use cudaq::qvector instead.)": [[47, "cudaq-qreg-n-levels-deprecated-use-cudaq-qvector-levels-instead"]], "Quantum Algorithmic Primitives": [[35, "quantum-algorithmic-primitives"]], "cudaq::sample": [[35, "cudaq-sample"]], "cudaq::observe": [[35, "cudaq-observe"]], "cudaq::optimizer (deprecated, functionality moved to CUDA-Q libraries)": [[35, "cudaq-optimizer-deprecated-functionality-moved-to-cuda-q-libraries"]], "cudaq::gradient (deprecated, functionality moved to CUDA-Q libraries)": [[35, "cudaq-gradient-deprecated-functionality-moved-to-cuda-q-libraries"]], "Control Flow": [[36, "control-flow"]], "Quantum Kernels": [[39, "quantum-kernels"]], "Just-in-Time Kernel Creation": [[37, "just-in-time-kernel-creation"]], "Example Programs": [[38, "example-programs"]], "Hello World - Simple Bell State": [[38, "hello-world-simple-bell-state"]], "GHZ State Preparation and Sampling": [[38, "ghz-state-preparation-and-sampling"]], "Quantum Phase Estimation": [[38, "quantum-phase-estimation"]], "Deuteron Binding Energy Parameter Sweep": [[38, "deuteron-binding-energy-parameter-sweep"]], "Grover\u2019s Algorithm": [[38, "grover-s-algorithm"]], "Iterative Phase Estimation": [[38, "iterative-phase-estimation"]], "CUDA-Q by Example": [[63, "cuda-q-by-example"]], "Computing Expectation Values": [[64, "computing-expectation-values"]], "Parallelizing across Multiple Processors": [[64, "parallelizing-across-multiple-processors"]], "Running your first CUDA-Q Program": [[60, "running-your-first-cuda-q-program"]], "Sample": [[60, "sample"], [24, "Sample"], [25, "Sample"]], "Observe": [[60, "observe"], [24, "Observe"]], "Running on a GPU": [[60, "running-on-a-gpu"]], "Troubleshooting": [[61, "troubleshooting"]], "Debugging and Verbose Simulation Output": [[61, "debugging-and-verbose-simulation-output"]], "Building Kernels": [[62, "building-kernels"]], "Using Quantum Hardware Providers": [[65, "using-quantum-hardware-providers"]], "Amazon Braket": [[65, "amazon-braket"], [53, "amazon-braket"]], "Infleqtion": [[65, "infleqtion"], [53, "infleqtion"]], "IonQ": [[65, "ionq"], [53, "ionq"]], "IQM": [[65, "iqm"], [53, "iqm"]], "OQC": [[65, "oqc"], [53, "oqc"]], "ORCA Computing": [[65, "orca-computing"], [53, "orca-computing"]], "Quantinuum": [[65, "quantinuum"], [53, "quantinuum"]], "QuEra Computing": [[65, "quera-computing"], [53, "quera-computing"]], "Multi-control Synthesis": [[67, "multi-control-synthesis"]], "Introduction": [[66, "introduction"], [77, "introduction"]], "Multi-GPU Workflows": [[68, "multi-gpu-workflows"]], "Available Targets": [[68, "available-targets"]], "Parallelization across Multiple Processors": [[68, "parallelization-across-multiple-processors"]], "Batching Hamiltonian Terms": [[68, "batching-hamiltonian-terms"]], "Circuit Batching": [[68, "circuit-batching"]], "Photonics 101": [[69, "photonics-101"]], "Quantum Photonic States": [[69, "quantum-photonic-states"]], "Quantum Photonics Gates": [[69, "quantum-photonics-gates"]], "Measurements": [[69, "measurements"], [70, "measurements"], [26, "Measurements"]], "Extending CUDA-Q": [[72, "extending-cuda-q"]], "Extending CUDA-Q with a new Simulator": [[74, "extending-cuda-q-with-a-new-simulator"]], "CircuitSimulator": [[74, "circuitsimulator"]], "Required Circuit Simulator Subtype Method Overrides": [[74, "id1"]], "Let\u2019s see this in action": [[74, "let-s-see-this-in-action"]], "Create your own CUDA-Q Compiler Pass": [[73, "create-your-own-cuda-q-compiler-pass"]], "Quantum Computing 101": [[70, "quantum-computing-101"]], "Quantum States": [[70, "quantum-states"]], "Quantum Gates": [[70, "quantum-gates"]], "Working with the CUDA-Q IR": [[71, "working-with-the-cuda-q-ir"]], "Installation from Source": [[75, "installation-from-source"]], "Prerequisites": [[75, "prerequisites"]], "Build Dependencies": [[75, "build-dependencies"]], "CUDA": [[75, "cuda"]], "Toolchain": [[75, "toolchain"]], "Building CUDA-Q": [[75, "building-cuda-q"]], "Python Support": [[75, "python-support"]], "C++ Support": [[75, "c-support"]], "Installation on the Host": [[75, "installation-on-the-host"]], "CUDA Runtime Libraries": [[75, "cuda-runtime-libraries"]], "MPI": [[75, "mpi"]], "Using CUDA and CUDA-Q in a Project": [[79, "using-cuda-and-cuda-q-in-a-project"]], "Local Installation": [[77, "local-installation"]], "Docker": [[77, "docker"]], "Singularity": [[77, "singularity"]], "Python wheels": [[77, "python-wheels"]], "Pre-built binaries": [[77, "pre-built-binaries"]], "Development with VS Code": [[77, "development-with-vs-code"]], "Using a Docker container": [[77, "using-a-docker-container"]], "Using a Singularity container": [[77, "using-a-singularity-container"]], "Connecting to a Remote Host": [[77, "connecting-to-a-remote-host"]], "Developing with Remote Tunnels": [[77, "developing-with-remote-tunnels"]], "Remote Access via SSH": [[77, "remote-access-via-ssh"]], "DGX Cloud": [[77, "dgx-cloud"]], "Get Started": [[77, "get-started"]], "Use JupyterLab": [[77, "use-jupyterlab"]], "Use VS Code": [[77, "use-vs-code"]], "Additional CUDA Tools": [[77, "additional-cuda-tools"]], "Installation via PyPI": [[77, "installation-via-pypi"]], "Installation In Container Images": [[77, "installation-in-container-images"]], "Installing Pre-built Binaries": [[77, "installing-pre-built-binaries"]], "Distributed Computing with MPI": [[77, "distributed-computing-with-mpi"]], "Updating CUDA-Q": [[77, "updating-cuda-q"]], "Dependencies and Compatibility": [[77, "dependencies-and-compatibility"]], "Supported Systems": [[77, "id10"]], "Requirements for GPU Simulation": [[77, "id11"]], "Next Steps": [[77, "next-steps"]], "CUDA-Q and CMake": [[78, "cuda-q-and-cmake"]], "Installation Guide": [[76, "installation-guide"]], "Contents": [[76, null], [57, null], [32, null]], "CUDA-Q Versions": [[83, "cuda-q-versions"]], "Integration with other Software Tools": [[80, "integration-with-other-software-tools"]], "Integrating with Third-Party Libraries": [[81, "integrating-with-third-party-libraries"]], "Calling a CUDA-Q library from C++": [[81, "calling-a-cuda-q-library-from-c"]], "Calling an C++ library from CUDA-Q": [[81, "calling-an-c-library-from-cuda-q"]], "Interfacing between binaries compiled with a different toolchains": [[81, "interfacing-between-binaries-compiled-with-a-different-toolchains"]], "Quick Start": [[82, "quick-start"], [52, "quick-start"], [54, "quick-start"]], "Install CUDA-Q": [[82, "install-cuda-q"]], "Validate your Installation": [[82, "validate-your-installation"]], "CUDA-Q Basics": [[57, "cuda-q-basics"]], "Multi-Processor Platforms": [[55, "multi-processor-platforms"]], "NVIDIA MQPU Platform": [[55, "nvidia-mqpu-platform"]], "Parallel distribution mode": [[55, "parallel-distribution-mode"]], "Remote MQPU Platform": [[55, "remote-mqpu-platform"]], "Supported Kernel Arguments": [[55, "supported-kernel-arguments"]], "Kernel argument serialization": [[55, "id4"]], "Accessing Simulated Quantum State": [[55, "accessing-simulated-quantum-state"]], "CUDA-Q Simulation Backends": [[56, "cuda-q-simulation-backends"]], "State Vector Simulators": [[56, "state-vector-simulators"]], "Features": [[56, "features"]], "Single-GPU": [[56, "single-gpu"]], "Environment variable options supported in single-GPU mode": [[56, "id6"]], "Multi-node multi-GPU": [[56, "multi-node-multi-gpu"], [56, "id2"]], "Additional environment variable options for multi-node multi-GPU mode": [[56, "id7"]], "Trajectory Noisy Simulation": [[56, "trajectory-noisy-simulation"]], "Additional environment variable options for trajectory simulation": [[56, "id8"]], "OpenMP CPU-only": [[56, "openmp-cpu-only"], [56, "id3"]], "Tensor Network Simulators": [[56, "tensor-network-simulators"]], "Matrix product state": [[56, "matrix-product-state"]], "Clifford-Only Simulator": [[56, "clifford-only-simulator"]], "Stim (CPU)": [[56, "stim-cpu"]], "Photonics Simulators": [[56, "photonics-simulators"]], "Fermioniq": [[56, "fermioniq"]], "Default Simulator": [[56, "default-simulator"]], "What is a CUDA-Q kernel?": [[59, "what-is-a-cuda-q-kernel"]], "Building your first CUDA-Q Program": [[58, "building-your-first-cuda-q-program"]], "CUDA-Q Dynamics": [[52, "cuda-q-dynamics"]], "Operator": [[52, "operator"]], "Builtin Operators": [[52, "id1"]], "Time-Dependent Dynamics": [[52, "time-dependent-dynamics"]], "Numerical Integrators": [[52, "numerical-integrators"], [52, "id2"]], "Multi-GPU Multi-Node Execution": [[52, "multi-gpu-multi-node-execution"]], "NVIDIA Quantum Cloud": [[54, "nvidia-quantum-cloud"]], "Simulator Backend Selection": [[54, "simulator-backend-selection"]], "Multiple GPUs": [[54, "multiple-gpus"]], "Simulator Backends": [[54, "id1"]], "Multiple QPUs Asynchronous Execution": [[54, "multiple-qpus-asynchronous-execution"]], "FAQ": [[54, "faq"]], "CUDA-Q Applications": [[50, "cuda-q-applications"]], "CUDA-Q Hardware Backends": [[53, "cuda-q-hardware-backends"]], "Setting Credentials": [[53, "setting-credentials"], [53, "id1"], [53, "ionq-backend"], [53, "anyon-backend"], [53, "id10"], [53, "id13"], [53, "id16"], [53, "quantinuum-backend"], [53, "quera-backend"]], "Submission from C++": [[53, "submission-from-c"], [53, "id2"], [53, "id5"], [53, "id8"], [53, "id11"], [53, "id14"], [53, "id17"], [53, "id20"], [53, "id23"]], "Submission from Python": [[53, "submission-from-python"], [53, "id3"], [53, "id6"], [53, "id9"], [53, "id12"], [53, "id15"], [53, "id18"], [53, "id21"], [53, "id24"]], "Anyon Technologies/Anyon Computing": [[53, "anyon-technologies-anyon-computing"]], "CUDA-Q Backends": [[51, "cuda-q-backends"]], "Backend Targets": [[51, null]], "CUDA-Q": [[32, "cuda-q"], [34, null]], "Optimizing Performance": [[30, "Optimizing-Performance"]], "Gate Fusion": [[30, "Gate-Fusion"]], "Language Specification": [[34, "language-specification"]], "Visualization": [[31, "Visualization"]], "Qubit Visualization": [[31, "Qubit-Visualization"]], "Kernel Visualization": [[31, "Kernel-Visualization"]], "CUDA-Q Releases": [[33, "cuda-q-releases"]], "Hybrid Quantum Neural Networks": [[11, "Hybrid-Quantum-Neural-Networks"]], "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"]], "Max-Cut with QAOA": [[14, "Max-Cut-with-QAOA"]], "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"]], "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"]], "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"]], "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"]], "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:"]], "Cost Minimization": [[6, "Cost-Minimization"]], "Quantum Teleporation": [[16, "Quantum-Teleporation"]], "Teleportation explained": [[16, "Teleportation-explained"]], "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"]], "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"]], "Quantum Fourier Transform": [[15, "Quantum-Fourier-Transform"]], "Quantum Fourier Transform revisited": [[15, "Quantum-Fourier-Transform-revisited"]], "Quantum Volume": [[17, "Quantum-Volume"]], "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, 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