diff --git a/pr-2478/_sources/applications/python/vqe_advanced.ipynb.txt b/pr-2478/_sources/applications/python/vqe_advanced.ipynb.txt index 188df3af45..3135b93829 100644 --- a/pr-2478/_sources/applications/python/vqe_advanced.ipynb.txt +++ b/pr-2478/_sources/applications/python/vqe_advanced.ipynb.txt @@ -331,7 +331,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "[\u001b[38;2;255;000;000mwarning\u001b[0m] Target \u001b[38;2;000;000;255mnvidia-mqpu\u001b[0m: \u001b[38;2;000;000;255mThis target is deprecating. Please use the 'nvidia' target with option 'mqpu,fp32' or 'mqpu' (fp32 is the default precision option) by adding the command line option '--target-option mqpu,fp32' or passing it as cudaq.set_target('nvidia', option='mqpu,fp32') in Python. Please refer to CUDA-Q \u001b]8;;https://nvidia.github.io/cuda-quantum/latest/using/backends/platform.html#nvidia-mqpu-platform\u001b\\documentation\u001b]8;;\u001b\\ for more information.\u001b[0m\n" + "[\u001b[38;2;255;000;000mwarning\u001b[0m] Target \u001b[38;2;000;000;255mnvidia-mqpu\u001b[0m: \u001b[38;2;000;000;255mThis target is deprecating. Please use the 'nvidia' target with option 'mqpu,fp32' or 'mqpu' (fp32 is the default precision option) by adding the command line option '--target-option mqpu,fp32' or passing it as cudaq.set_target('nvidia', option='mqpu,fp32') in Python. Please refer to CUDA-Q \u001b]8;;https://nvidia.github.io/cuda-quantum/latest/using/backends/platform\u001b\\documentation\u001b]8;;\u001b\\ for more information.\u001b[0m\n" ] } ], diff --git a/pr-2478/_sources/examples/python/executing_kernels.ipynb.txt b/pr-2478/_sources/examples/python/executing_kernels.ipynb.txt index 66a7afee3b..0d3250c8c1 100644 --- a/pr-2478/_sources/examples/python/executing_kernels.ipynb.txt +++ b/pr-2478/_sources/examples/python/executing_kernels.ipynb.txt @@ -78,7 +78,7 @@ "source": [ "Note that there is a subtle difference between how `sample` is executed with the target device set to a simulator or with the target device set to a QPU. In simulation mode, the quantum state is built once and then sampled $s$ times where $s$ equals the `shots_count`. In hardware execution mode, the quantum state collapses upon measurement and hence needs to be rebuilt over and over again.\n", "\n", - "There are a number of helpful tools that can be found in the API [here](https://nvidia.github.io/cuda-quantum/latest/api/languages/python_api.html#cudaq.SampleResult) to process the `Sample_Result` object produced by `sample`." + "There are a number of helpful tools that can be found in the [API docs](https://nvidia.github.io/cuda-quantum/latest/api/languages/python_api) to process the `Sample_Result` object produced by `sample`." ] }, { diff --git a/pr-2478/_sources/releases.rst.txt b/pr-2478/_sources/releases.rst.txt index 6a8a353462..de3e12d78b 100644 --- a/pr-2478/_sources/releases.rst.txt +++ b/pr-2478/_sources/releases.rst.txt @@ -4,12 +4,35 @@ CUDA-Q Releases **latest** -The latest version of CUDA-Q is on the main branch of our `GitHub repository `__ and is also available as a Docker image. More information about installing the nightly builds can be found :doc:`here ` +The latest version of CUDA-Q is on the main branch of our `GitHub repository `__ +and is also available as a Docker image. More information about installing the nightly builds can be found +:doc:`here ` - `Docker image (nightly builds) `__ - `Documentation `__ - `Examples `__ +**0.9.0** + +We are very excited to share a new toolset added for modeling and manipulating the dynamics of physical systems. +The new API allows to define and execute a time evolution under arbitrary operators. For more information, take +a look at the `docs `__. +The 0.9.0 release furthermore includes a range of contribution to add new backends to CUDA-Q, including backends +from `Anyon Technologies `__, +`Ferimioniq `__, and +`QuEra Computing `__, +as well as updates to existing backends from `ORCA `__ +and `OQC `__. +We hope you enjoy the new features - also check out our new notebooks and examples to dive into CUDA-Q. + +- `Docker image `__ +- `Python wheel `__ +- `C++ installer `__ +- `Documentation `__ +- `Examples `__ + +The full change log can be found `here `__. + **0.8.0** The 0.8.0 release adds a range of changes to improve the ease of use and performance with CUDA-Q. @@ -17,7 +40,7 @@ The changes listed below highlight some of what we think will be the most useful to know about. While the listed changes do not capture all of the great contributions, we would like to extend many thanks for every contribution, in particular those from external contributors. -- `Docker image `__ +- `Docker image `__ - `Python wheel `__ - `C++ installer `__ - `Documentation `__ @@ -30,7 +53,7 @@ The full change log can be found `here `__. +`here `__. It furthermore adds a range of bug fixes and changes the Python wheel installation instructions. - `Docker image `__ @@ -46,7 +69,7 @@ The full change log can be found `here `, giving you access to our most powerful GPU-accelerated simulators even if you don't have an NVIDIA GPU. With 0.7.0, we have furthermore greatly increased expressiveness of the Python and C++ language frontends. -Check out our `documentation `__ +Check out our `documentation `__ to get started with the new Python syntax support we have added, and `follow our blog `__ to learn more about the new setup and its performance benefits. diff --git a/pr-2478/applications/python/deutschs_algorithm.html b/pr-2478/applications/python/deutschs_algorithm.html index c729a40150..fb1827ea30 100644 --- a/pr-2478/applications/python/deutschs_algorithm.html +++ b/pr-2478/applications/python/deutschs_algorithm.html @@ -804,7 +804,7 @@

XOR \(\oplus\)

Quantum oracles

-

d9f8dde1bbbe4618813c14c347252277

+

d40c1c45157844ceb3f0459c751a73ea

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

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

@@ -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.

-

c0d2ee3d78e543b4a493ce1df9f69434

+

1276d38cb3e9415b8b81137601da92f0

\[\ket{\psi_0} = \ket{01} \tag{1}\]
diff --git a/pr-2478/applications/python/vqe_advanced.html b/pr-2478/applications/python/vqe_advanced.html index bd77c61494..fc2732f50a 100644 --- a/pr-2478/applications/python/vqe_advanced.html +++ b/pr-2478/applications/python/vqe_advanced.html @@ -992,7 +992,7 @@

Parallel Parameter Shift Gradients 
-[warning] Target nvidia-mqpu: This target is deprecating. Please use the 'nvidia' target with option 'mqpu,fp32' or 'mqpu' (fp32 is the default precision option) by adding the command line option '--target-option mqpu,fp32' or passing it as cudaq.set_target('nvidia', option='mqpu,fp32') in Python. Please refer to CUDA-Q ]8;;https://nvidia.github.io/cuda-quantum/latest/using/backends/platform.html#nvidia-mqpu-platform\documentation]8;;\ for more information.
+[warning] Target nvidia-mqpu: This target is deprecating. Please use the 'nvidia' target with option 'mqpu,fp32' or 'mqpu' (fp32 is the default precision option) by adding the command line option '--target-option mqpu,fp32' or passing it as cudaq.set_target('nvidia', option='mqpu,fp32') in Python. Please refer to CUDA-Q ]8;;https://nvidia.github.io/cuda-quantum/latest/using/backends/platform\documentation]8;;\ for more information.

The cost function needs to be slightly updated to make use of the gradient in the optimization procedure and allow for a gradient based optimizer like L-BFGS-B to be used.

diff --git a/pr-2478/applications/python/vqe_advanced.ipynb b/pr-2478/applications/python/vqe_advanced.ipynb index 188df3af45..3135b93829 100644 --- a/pr-2478/applications/python/vqe_advanced.ipynb +++ b/pr-2478/applications/python/vqe_advanced.ipynb @@ -331,7 +331,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "[\u001b[38;2;255;000;000mwarning\u001b[0m] Target \u001b[38;2;000;000;255mnvidia-mqpu\u001b[0m: \u001b[38;2;000;000;255mThis target is deprecating. Please use the 'nvidia' target with option 'mqpu,fp32' or 'mqpu' (fp32 is the default precision option) by adding the command line option '--target-option mqpu,fp32' or passing it as cudaq.set_target('nvidia', option='mqpu,fp32') in Python. Please refer to CUDA-Q \u001b]8;;https://nvidia.github.io/cuda-quantum/latest/using/backends/platform.html#nvidia-mqpu-platform\u001b\\documentation\u001b]8;;\u001b\\ for more information.\u001b[0m\n" + "[\u001b[38;2;255;000;000mwarning\u001b[0m] Target \u001b[38;2;000;000;255mnvidia-mqpu\u001b[0m: \u001b[38;2;000;000;255mThis target is deprecating. Please use the 'nvidia' target with option 'mqpu,fp32' or 'mqpu' (fp32 is the default precision option) by adding the command line option '--target-option mqpu,fp32' or passing it as cudaq.set_target('nvidia', option='mqpu,fp32') in Python. Please refer to CUDA-Q \u001b]8;;https://nvidia.github.io/cuda-quantum/latest/using/backends/platform\u001b\\documentation\u001b]8;;\u001b\\ for more information.\u001b[0m\n" ] } ], diff --git a/pr-2478/examples/python/executing_kernels.html b/pr-2478/examples/python/executing_kernels.html index 48348c43ff..de35313b1c 100644 --- a/pr-2478/examples/python/executing_kernels.html +++ b/pr-2478/examples/python/executing_kernels.html @@ -789,7 +789,7 @@

Sample

Note that there is a subtle difference between how sample is executed with the target device set to a simulator or with the target device set to a QPU. In simulation mode, the quantum state is built once and then sampled \(s\) times where \(s\) equals the shots_count. In hardware execution mode, the quantum state collapses upon measurement and hence needs to be rebuilt over and over again.

-

There are a number of helpful tools that can be found in the API here to process the Sample_Result object produced by sample.

+

There are a number of helpful tools that can be found in the API docs to process the Sample_Result object produced by sample.

Observe

diff --git a/pr-2478/examples/python/executing_kernels.ipynb b/pr-2478/examples/python/executing_kernels.ipynb index 66a7afee3b..0d3250c8c1 100644 --- a/pr-2478/examples/python/executing_kernels.ipynb +++ b/pr-2478/examples/python/executing_kernels.ipynb @@ -78,7 +78,7 @@ "source": [ "Note that there is a subtle difference between how `sample` is executed with the target device set to a simulator or with the target device set to a QPU. In simulation mode, the quantum state is built once and then sampled $s$ times where $s$ equals the `shots_count`. In hardware execution mode, the quantum state collapses upon measurement and hence needs to be rebuilt over and over again.\n", "\n", - "There are a number of helpful tools that can be found in the API [here](https://nvidia.github.io/cuda-quantum/latest/api/languages/python_api.html#cudaq.SampleResult) to process the `Sample_Result` object produced by `sample`." + "There are a number of helpful tools that can be found in the [API docs](https://nvidia.github.io/cuda-quantum/latest/api/languages/python_api) to process the `Sample_Result` object produced by `sample`." ] }, { diff --git a/pr-2478/examples/python/performance_optimizations.html b/pr-2478/examples/python/performance_optimizations.html index 1f287d3b52..f4e47c6f0f 100644 --- a/pr-2478/examples/python/performance_optimizations.html +++ b/pr-2478/examples/python/performance_optimizations.html @@ -731,9 +731,9 @@

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

-

a152cb3a9f824ae8a60f103eab60cc39

+

2048def55ec5415baf71426d025a4ff9

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.

-

10f72cdf42fe46ecaae298c2aa2700b1

+

22086102a01046bda1ba0d4320335975

diff --git a/pr-2478/releases.html b/pr-2478/releases.html index 0a87098fc5..5aef184498 100644 --- a/pr-2478/releases.html +++ b/pr-2478/releases.html @@ -720,19 +720,40 @@

CUDA-Q Releases

latest

-

The latest version of CUDA-Q is on the main branch of our GitHub repository and is also available as a Docker image. More information about installing the nightly builds can be found here

+

The latest version of CUDA-Q is on the main branch of our GitHub repository +and is also available as a Docker image. More information about installing the nightly builds can be found +here

+

0.9.0

+

We are very excited to share a new toolset added for modeling and manipulating the dynamics of physical systems. +The new API allows to define and execute a time evolution under arbitrary operators. For more information, take +a look at the docs. +The 0.9.0 release furthermore includes a range of contribution to add new backends to CUDA-Q, including backends +from Anyon Technologies, +Ferimioniq, and +QuEra Computing, +as well as updates to existing backends from ORCA +and OQC. +We hope you enjoy the new features - also check out our new notebooks and examples to dive into CUDA-Q.

+ +

The full change log can be found here.

0.8.0

The 0.8.0 release adds a range of changes to improve the ease of use and performance with CUDA-Q. The changes listed below highlight some of what we think will be the most useful features and changes to know about. While the listed changes do not capture all of the great contributions, we would like to extend many thanks for every contribution, in particular those from external contributors.

    -

  • Docker image

    • +

  • Docker image

  • Python wheel

  • C++ installer

  • Documentation

    • @@ -743,7 +764,7 @@

    CUDA-Q Releasesnvidia-mgpu backend now supports user customization of the gate fusion level as controlled by the CUDAQ_MGPU_FUSE environment variable documented -here. +here. It furthermore adds a range of bug fixes and changes the Python wheel installation instructions.

    • Docker image

      • @@ -757,7 +778,7 @@

      CUDA-Q ReleasesNVIDIA Quantum Cloud, giving you access to our most powerful GPU-accelerated simulators even if you don’t have an NVIDIA GPU. With 0.7.0, we have furthermore greatly increased expressiveness of the Python and C++ language frontends. -Check out our documentation +Check out our documentation to get started with the new Python syntax support we have added, and follow our blog to learn more about the new setup and its performance benefits.

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Quantum Types", "Specifications", "Quake Dialect", "CUDA-Q Applications", "CUDA-Q Backends", "CUDA-Q Dynamics", "CUDA-Q Hardware Backends", "NVIDIA Quantum Cloud", "Multi-Processor Platforms", "CUDA-Q Simulation Backends", "CUDA-Q Basics", "Building your first CUDA-Q Program", "What is a CUDA-Q kernel?", "Running your first CUDA-Q Program", "Troubleshooting", "Building Kernels", "CUDA-Q by Example", "Computing Expectation Values", "Using Quantum Hardware Providers", "Introduction", "Multi-control Synthesis", "Multi-GPU Workflows", "Quantum Computing 101", "Working with the CUDA-Q IR", "Extending CUDA-Q", "Create your own CUDA-Q Compiler Pass", "Extending CUDA-Q with a new Simulator", "Installation from Source", "Installation Guide", "Local Installation", "CUDA-Q and CMake", "Using CUDA and CUDA-Q in a Project", "Integration with other Software Tools", "Integrating with Third-Party Libraries", "Quick Start", "CUDA-Q Versions"], "terms": {"c": [0, 1, 3, 4, 9, 12, 14, 31, 32, 33, 34, 35, 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68, 78], "provid": [1, 2, 3, 4, 8, 9, 10, 12, 13, 15, 18, 19, 20, 21, 22, 26, 27, 28, 31, 33, 34, 36, 39, 41, 42, 44, 45, 46, 48, 51, 52, 53, 54, 55, 58, 62, 63, 65, 66, 69, 71, 72, 73, 75, 76, 79], "default": [1, 2, 3, 20, 23, 24, 25, 30, 34, 38, 41, 46, 51, 52, 53, 54, 59, 64, 65, 69, 72, 73, 75, 77, 79, 80], "set": [1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 14, 17, 18, 21, 23, 24, 29, 30, 31, 34, 36, 38, 41, 48, 51, 53, 54, 55, 57, 59, 64, 73, 75, 79, 80], "These": [1, 2, 8, 12, 13, 14, 17, 19, 21, 23, 26, 28, 33, 38, 41, 45, 46, 48, 50, 53, 54, 55, 69, 73, 75], "can": [1, 2, 3, 4, 5, 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, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 48, 50, 51, 52, 53, 54, 55, 57, 58, 59, 61, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73, 75, 76, 77, 78, 79, 80, 81], "us": [1, 2, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 25, 26, 27, 28, 30, 31, 32, 34, 35, 36, 37, 38, 41, 42, 44, 45, 48, 51, 52, 53, 54, 55, 57, 58, 59, 61, 62, 63, 65, 67, 68, 69, 71, 72, 73, 76, 79, 80, 81], "kernel": [1, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 22, 23, 24, 25, 26, 27, 28, 31, 32, 33, 34, 35, 37, 39, 41, 42, 43, 44, 45, 46, 47, 52, 53, 55, 56, 57, 59, 62, 63, 64, 65, 66, 67, 68, 69, 77, 79, 80, 81], "librari": [1, 2, 8, 11, 13, 19, 22, 30, 31, 32, 33, 37, 38, 40, 45, 46, 51, 55, 63, 69, 71, 72, 75, 77, 78, 81], "sinc": [1, 2, 4, 5, 7, 13, 14, 15, 16, 18, 19, 21, 24, 46, 50, 54, 55, 58, 63, 64, 67, 69, 75, 76, 79], "intrins": [1, 38, 45, 46, 48], "nativ": [1, 33, 39, 41, 42, 76], "support": [1, 2, 3, 4, 7, 18, 24, 30, 31, 32, 33, 38, 39, 41, 43, 46, 51, 52, 58, 59, 64, 65, 68, 71, 79, 80, 81], "specif": [1, 2, 3, 9, 12, 21, 25, 31, 34, 38, 40, 41, 42, 43, 46, 48, 51, 52, 53, 54, 55, 58, 59, 61, 65, 68, 69, 72, 73, 75, 77, 79], "target": [1, 2, 3, 7, 8, 9, 10, 11, 12, 14, 23, 24, 26, 29, 30, 32, 34, 41, 44, 48, 51, 52, 53, 54, 55, 59, 61, 63, 64, 66, 68, 69, 71, 72, 73, 75, 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, 34, 37, 52, 53, 54, 55, 59, 63, 64, 65, 66, 69, 72, 75, 76, 77, 79, 80], "compil": [1, 2, 3, 9, 13, 31, 33, 34, 37, 38, 39, 43, 45, 46, 52, 53, 54, 55, 59, 63, 64, 65, 66, 69, 72, 73, 75, 76, 77, 80], "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, 7, 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, 57, 59, 61, 63, 64, 66, 67, 68, 69, 79, 80], "flip": [1, 2, 3, 6, 13, 17, 18, 26, 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, 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], "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, 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, 33, 34, 36, 37, 38, 44, 46, 48, 53, 54, 55, 58, 59, 62, 67, 72, 73, 77, 79, 80], "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, 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, 51, 52, 66, 79], "\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, 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, 59, 67, 68, 79, 80], "11": [1, 3, 4, 9, 11, 13, 16, 17, 18, 20, 21, 23, 24, 26, 28, 30, 34, 59, 67, 68, 69, 73, 75, 79, 80], "onli": [1, 2, 3, 5, 9, 16, 18, 19, 21, 23, 24, 25, 30, 34, 38, 39, 43, 46, 48, 51, 52, 53, 54, 58, 64, 68, 69, 71, 73, 75, 79, 80], "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, 48, 51, 52, 54, 79], "behavior": [1, 2, 3, 9, 23, 55], "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, 34, 39, 46, 48, 53, 54, 55, 59, 63, 64, 65, 69, 72, 73, 75, 79, 80], "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, 68], "10": [1, 4, 7, 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, 34, 38, 39, 46, 54, 55, 59, 63, 65], "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, 34, 36, 40, 41, 44, 46, 51, 52, 53, 54, 55, 59, 61, 64, 65, 72, 73, 75, 77, 79], "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, 75, 79], "Then": [1, 18, 21, 25, 52, 64, 71, 72], "within": [1, 2, 3, 13, 22, 34, 38, 40, 42, 46, 52, 54, 55, 58, 59, 61, 64, 65, 68, 71, 73, 75, 76, 77, 79, 80], "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, 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, 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, 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, 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, 57, 59, 63, 64, 65, 66, 69, 79, 80], "void": [1, 2, 3, 34, 36, 37, 38, 41, 42, 44, 45, 46, 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, 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, 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, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 20, 21, 23, 34, 36, 37, 38, 41, 42, 45, 53, 54, 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, 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, 34, 35, 36, 38, 46, 48, 51, 54, 57, 58, 59, 61, 62, 65, 69], "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, 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, 50], "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], "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, 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, 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], "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, 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, 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, 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, 59, 63, 64, 67, 69], "op": [2, 3, 12, 13, 20, 48, 63, 69], "map": [2, 3, 5, 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, 7, 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, 41, 54, 55, 58, 68], "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, 67, 73, 75, 80], "here": [2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 15, 18, 19, 21, 22, 23, 24, 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, 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, 34, 38, 39, 42, 46, 52, 54, 55, 61, 64, 66, 69, 70, 75, 79], "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, 55, 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, 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, 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, 34, 39, 44, 46, 48, 51, 52, 54, 55, 58, 59, 63, 64, 67, 68, 71, 73, 76, 77, 79, 80], "inlin": [2, 34, 69], "new": [2, 3, 4, 7, 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, 36, 38, 39, 46, 52, 57, 58, 69, 79], "time": [2, 3, 4, 9, 10, 12, 13, 14, 15, 17, 18, 19, 20, 23, 24, 25, 26, 30, 31, 33, 34, 37, 39, 46, 47, 52, 53, 54, 55, 59, 64, 65, 67, 68, 69, 73, 75, 80], "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, 53, 57, 68, 73], "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, 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, 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, 33, 34, 37, 51, 52, 53, 54, 55, 56, 58, 63, 64, 65, 66, 67, 69, 72, 73, 75, 76, 79, 80], "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, "trajectori": 2, "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, 34, 41, 44, 48, 51, 52, 53, 54, 57, 58, 59, 63, 64, 65, 66, 67, 69, 71, 73, 75, 76, 77, 80], "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, 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], "noisemodel": [2, 3, 13, 17, 18, 26], "nullptr": 2, "canhandleobserv": 2, "flag": [2, 13, 38, 51, 52, 54, 55, 64, 69, 71, 75, 79], "handl": [2, 3, 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, 51, 52, 71, 72, 73, 75, 79], "asyncexec": 2, "occur": [2, 3, 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, 34, 51, 52, 54, 55, 65, 68, 69, 71, 72, 73, 75, 79, 80], "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, 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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, 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, 59, 67, 68, 79, 80], "11": [1, 3, 4, 9, 11, 13, 16, 17, 18, 20, 21, 23, 24, 26, 28, 30, 34, 59, 67, 68, 69, 73, 75, 79, 80], "onli": [1, 2, 3, 5, 9, 16, 18, 19, 21, 23, 24, 25, 30, 34, 38, 39, 43, 46, 48, 51, 52, 53, 54, 58, 64, 68, 69, 71, 73, 75, 79, 80], "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, 48, 51, 52, 54, 79], "behavior": [1, 2, 3, 9, 23, 55], "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, 34, 39, 46, 48, 53, 54, 55, 59, 63, 64, 65, 69, 72, 73, 75, 79, 80], "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, 68], "10": [1, 4, 7, 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, 34, 38, 39, 46, 54, 55, 59, 63, 65], "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, 75, 79], "Then": [1, 18, 21, 25, 52, 64, 71, 72], "within": [1, 2, 3, 13, 22, 34, 38, 40, 42, 46, 52, 54, 55, 58, 59, 61, 64, 65, 68, 71, 73, 75, 76, 77, 79, 80], "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, 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, 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, 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, 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, 57, 59, 63, 64, 65, 66, 69, 79, 80], "void": [1, 2, 3, 34, 36, 37, 38, 41, 42, 44, 45, 46, 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, 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, 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, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 20, 21, 23, 34, 36, 37, 38, 41, 42, 45, 53, 54, 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, 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, 34, 35, 36, 38, 46, 48, 51, 54, 57, 58, 59, 61, 62, 65, 69], "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, 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], "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], 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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, 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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, 59, 63, 64, 67, 69], "op": [2, 3, 12, 13, 20, 48, 63, 69], "map": [2, 3, 5, 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, 7, 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, 41, 54, 55, 58, 68], "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, 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, 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, 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13, 14, 18, 21, 22, 23, 30, 55, 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, 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, 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, 7, 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, 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, 53, 57, 68, 73], "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, 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, 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, 33, 34, 37, 51, 52, 53, 54, 55, 56, 58, 63, 64, 65, 66, 67, 69, 72, 73, 75, 76, 79, 80], "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, "trajectori": 2, "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, 34, 41, 44, 48, 51, 52, 53, 54, 57, 58, 59, 63, 64, 65, 66, 67, 69, 71, 73, 75, 76, 77, 80], "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, 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], "noisemodel": [2, 3, 13, 17, 18, 26], "nullptr": 2, "canhandleobserv": 2, "flag": [2, 13, 38, 51, 52, 54, 55, 64, 69, 71, 75, 79], "handl": [2, 3, 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, 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, 34, 51, 52, 54, 55, 65, 68, 69, 71, 72, 73, 75, 79, 80], "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": 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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, 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, 57, 61, 63, 73, 77, 79], "must": [2, 3, 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], 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75, 79, 80], "stream": [2, 9, 39], "extract": [2, 3, 4, 7, 9, 10, 12, 16, 19, 27, 34, 36, 37, 46, 48, 59, 69, 73, 75], "unord": 2, "get_margin": [2, 34], "marginalindic": [2, 34], "margin": [2, 18], "those": [2, 19, 32, 34, 38, 48, 51, 54, 55, 69, 81], "subset": [2, 3, 9, 11, 21, 34, 38, 46, 48], "rvalu": 2, "refer": [2, 13, 14, 16, 19, 23, 31, 34, 38, 39, 46, 48, 52, 53, 54, 55, 64, 73, 75], "newbitstr": 2, "oldbitstr": 2, "process": [2, 3, 9, 10, 15, 17, 21, 23, 24, 25, 33, 34, 39, 44, 52, 53, 54, 55, 58, 64, 67, 68, 69, 73, 79], "const_iter": 2, "cbegin": 2, "cend": 2, "has_even_par": 2, "pariti": [2, 51], "sample_opt": [2, 34], "async_sampl": 2, "express": [2, 3, 13, 16, 21, 28, 32, 34, 35, 36, 37, 39, 42, 51, 54, 58, 65, 66, 69, 79, 81], "final": [2, 3, 4, 6, 9, 12, 13, 16, 20, 23, 28, 51, 54, 63, 65, 67, 69, 72, 73], "variad": [2, 34], "concret": [2, 3, 14, 34, 59, 63], "evalu": [2, 3, 9, 12, 23, 28, 34, 53, 54, 55, 63], "dictionari": [2, 3, 13, 18, 34, 59, 65], "extens": [2, 30, 33, 34, 40, 46, 50, 72, 75, 77, 80], "describ": [2, 3, 5, 10, 12, 13, 16, 18, 19, 26, 44, 46, 51, 52, 66, 68, 72, 73, 75, 79], "effici": [2, 9, 13, 19, 21, 23, 29, 55], "manner": [2, 34, 54, 72], "client": [2, 34, 53, 73], "remain": [2, 3, 4, 45, 64, 73], "gpu": [2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 15, 17, 20, 21, 23, 24, 28, 31, 32, 33, 39, 51, 54, 56, 58, 62, 72, 73, 77, 79, 80, 81], "devic": [2, 3, 9, 11, 13, 17, 18, 21, 23, 24, 26, 28, 34, 37, 38, 41, 45, 52, 53, 54, 55, 59, 64, 69, 72, 75], "cpu": [2, 4, 5, 9, 11, 13, 14, 15, 16, 17, 18, 20, 21, 24, 26, 30, 31, 50, 53, 54, 58, 59, 67, 69, 73, 75, 79, 80], "memori": [2, 9, 11, 20, 21, 35, 38, 39, 46, 48, 53, 54, 55, 58, 67, 69, 75], "primari": [2, 3, 5, 8, 34, 46, 72], "goal": [2, 5, 9, 14, 19, 20, 23], "minim": [2, 8, 9, 13, 14, 18, 21, 22, 23, 28, 30, 31, 73, 75, 80], "transfer": [2, 54, 55], "subclass": [2, 34, 72], "cusvstat": 2, "scalartyp": [2, 79], "remotesimulationst": 2, "nvqir": [2, 31, 69, 70, 72], "mpssimulationst": 2, 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"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"]], "Integration with other Software Tools": [[78, "integration-with-other-software-tools"]], "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"]], "Create your own CUDA-Q Compiler Pass": [[71, "create-your-own-cuda-q-compiler-pass"]], "Using CUDA and CUDA-Q in a Project": [[77, "using-cuda-and-cuda-q-in-a-project"]], "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"]], "CUDA-Q and CMake": [[76, "cuda-q-and-cmake"]], "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"]], "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"]], "CUDA-Q Backends": [[50, "cuda-q-backends"]], "Backend Targets": [[50, null]], "What is a CUDA-Q kernel?": [[58, "what-is-a-cuda-q-kernel"]], "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 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 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"]], "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"]], "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 Basics": [[56, "cuda-q-basics"]], "Building your first CUDA-Q Program": [[57, "building-your-first-cuda-q-program"]], "Language Specification": [[33, "language-specification"]], "CUDA-Q": [[33, null], [31, "cuda-q"]], "Quantum Kernels": [[38, "quantum-kernels"]], "Example Programs": [[37, "example-programs"]], "Hello World - Simple Bell State": [[37, "hello-world-simple-bell-state"]], "GHZ State Preparation and Sampling": [[37, "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"]], "Control Flow": [[35, "control-flow"]], "Just-in-Time Kernel Creation": [[36, "just-in-time-kernel-creation"]], "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"]], "Machine Model": [[39, "machine-model"]], "CUDA-Q Releases": [[32, "cuda-q-releases"]], "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"]], "Midcircuit Measurement and Conditional Logic": [[25, "Midcircuit-Measurement-and-Conditional-Logic"]], "Optimizing Performance": [[29, "Optimizing-Performance"]], "Gate Fusion": [[29, "Gate-Fusion"]], "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"]], "Parallel Parameter Shift Gradients": [[23, "Parallel-Parameter-Shift-Gradients"], [28, "Parallel-Parameter-Shift-Gradients"]], "Using an Active Space": [[23, "Using-an-Active-Space"]], "Gate Fusion for Larger Circuits": [[23, "Gate-Fusion-for-Larger-Circuits"]], "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"]], "Noisy Simulation": [[26, "Noisy-Simulation"], [3, "noisy-simulation"]], "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"]], "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"]], "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"]], "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"]], "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"]], "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"]], "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"]], "Max-Cut with QAOA": [[14, "Max-Cut-with-QAOA"]], "Hybrid Quantum Neural Networks": [[11, "Hybrid-Quantum-Neural-Networks"]], "Quantum Teleporation": [[16, "Quantum-Teleporation"]], "Teleportation explained": [[16, "Teleportation-explained"]], "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"]], "Quantum Fourier Transform": [[15, "Quantum-Fourier-Transform"]], "Quantum Fourier Transform revisited": [[15, "Quantum-Fourier-Transform-revisited"]], "Quantum Volume": [[17, "Quantum-Volume"]], "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 Enhanced Auxiliary Field Quantum Monte Carlo": [[4, "Quantum-Enhanced-Auxiliary-Field-Quantum-Monte-Carlo"]], "Hamiltonian preparation for VQE": [[4, "Hamiltonian-preparation-for-VQE"]], "Run VQE with CUDA-Q": [[4, "Run-VQE-with-CUDA-Q"]], "Auxiliary Field Quantum Monte Carlo (AFQMC)": [[4, "Auxiliary-Field-Quantum-Monte-Carlo-(AFQMC)"]], "Preparation of the molecular Hamiltonian": [[4, "Preparation-of-the-molecular-Hamiltonian"]], "Preparation of the trial wave function": [[4, "Preparation-of-the-trial-wave-function"]], "Setup of the AFQMC parameters": [[4, "Setup-of-the-AFQMC-parameters"]], "CUDA-Q Python API": [[3, "module-cudaq"]], "Program Construction": [[3, "program-construction"]], "Kernel Execution": [[3, "kernel-execution"]], 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cudaq)": [[3, "cudaq.vqe"]]}}) \ No newline at end of file diff --git a/pr-2478/sphinx/applications/python/divisive_clustering_src/main_divisive_clustering.py b/pr-2478/sphinx/applications/python/divisive_clustering_src/main_divisive_clustering.py index 6ada0c0cde..4065d93755 100644 --- a/pr-2478/sphinx/applications/python/divisive_clustering_src/main_divisive_clustering.py +++ b/pr-2478/sphinx/applications/python/divisive_clustering_src/main_divisive_clustering.py @@ -27,7 +27,7 @@ type=str, choices=["qpp-cpu", "nvidia", "nvidia-mgpu"], help= - "Quantum simulator backend. Default is qpp-cpu. See https://nvidia.github.io/cuda-quantum/0.6.0/using/simulators.html for more options.", + "Quantum simulator backend. Default is qpp-cpu. See https://nvidia.github.io/cuda-quantum for more options.", ) argparser.add_argument( "-d", diff --git a/pr-2478/sphinx/applications/python/vqe_advanced.ipynb b/pr-2478/sphinx/applications/python/vqe_advanced.ipynb index 188df3af45..3135b93829 100644 --- a/pr-2478/sphinx/applications/python/vqe_advanced.ipynb +++ b/pr-2478/sphinx/applications/python/vqe_advanced.ipynb @@ -331,7 +331,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "[\u001b[38;2;255;000;000mwarning\u001b[0m] Target \u001b[38;2;000;000;255mnvidia-mqpu\u001b[0m: \u001b[38;2;000;000;255mThis target is deprecating. Please use the 'nvidia' target with option 'mqpu,fp32' or 'mqpu' (fp32 is the default precision option) by adding the command line option '--target-option mqpu,fp32' or passing it as cudaq.set_target('nvidia', option='mqpu,fp32') in Python. Please refer to CUDA-Q \u001b]8;;https://nvidia.github.io/cuda-quantum/latest/using/backends/platform.html#nvidia-mqpu-platform\u001b\\documentation\u001b]8;;\u001b\\ for more information.\u001b[0m\n" + "[\u001b[38;2;255;000;000mwarning\u001b[0m] Target \u001b[38;2;000;000;255mnvidia-mqpu\u001b[0m: \u001b[38;2;000;000;255mThis target is deprecating. Please use the 'nvidia' target with option 'mqpu,fp32' or 'mqpu' (fp32 is the default precision option) by adding the command line option '--target-option mqpu,fp32' or passing it as cudaq.set_target('nvidia', option='mqpu,fp32') in Python. Please refer to CUDA-Q \u001b]8;;https://nvidia.github.io/cuda-quantum/latest/using/backends/platform\u001b\\documentation\u001b]8;;\u001b\\ for more information.\u001b[0m\n" ] } ], diff --git a/pr-2478/sphinx/examples/python/building_kernels.ipynb b/pr-2478/sphinx/examples/python/building_kernels.ipynb index 366b9f626f..b847b4936e 100644 --- a/pr-2478/sphinx/examples/python/building_kernels.ipynb +++ b/pr-2478/sphinx/examples/python/building_kernels.ipynb @@ -145,7 +145,7 @@ "### Applying Gates\n", "\n", "\n", - "After a kernel is constructed, gates can be applied to start building out a quantum circuit. All the predefined gates in CUDA-Q can be found [here](https://nvidia.github.io/cuda-quantum/latest/api/default_ops.html#unitary-operations-on-qubits).\n", + "After a kernel is constructed, gates can be applied to start building out a quantum circuit. All the predefined gates in CUDA-Q can be found [here](https://nvidia.github.io/cuda-quantum/latest/api/default_ops).\n", "\n", "\n", "Gates can be applied to all qubits in a register:" diff --git a/pr-2478/sphinx/examples/python/building_kernels.py b/pr-2478/sphinx/examples/python/building_kernels.py index 2228d1045b..35583fbb9b 100644 --- a/pr-2478/sphinx/examples/python/building_kernels.py +++ b/pr-2478/sphinx/examples/python/building_kernels.py @@ -100,7 +100,9 @@ def kernel(state: cudaq.State): # ### Applying Gates # # -# After a kernel is constructed, gates can be applied to start building out a quantum circuit. All the predefined gates in CUDA-Q can be found [here](https://nvidia.github.io/cuda-quantum/latest/api/default_ops.html#unitary-operations-on-qubits). +# After a kernel is constructed, gates can be applied to start building out a quantum circuit. +# All the predefined gates in CUDA-Q can be found here: +# https://nvidia.github.io/cuda-quantum/api/default_ops. # # # Gates can be applied to all qubits in a register: diff --git a/pr-2478/sphinx/examples/python/executing_kernels.ipynb b/pr-2478/sphinx/examples/python/executing_kernels.ipynb index 66a7afee3b..0d3250c8c1 100644 --- a/pr-2478/sphinx/examples/python/executing_kernels.ipynb +++ b/pr-2478/sphinx/examples/python/executing_kernels.ipynb @@ -78,7 +78,7 @@ "source": [ "Note that there is a subtle difference between how `sample` is executed with the target device set to a simulator or with the target device set to a QPU. In simulation mode, the quantum state is built once and then sampled $s$ times where $s$ equals the `shots_count`. In hardware execution mode, the quantum state collapses upon measurement and hence needs to be rebuilt over and over again.\n", "\n", - "There are a number of helpful tools that can be found in the API [here](https://nvidia.github.io/cuda-quantum/latest/api/languages/python_api.html#cudaq.SampleResult) to process the `Sample_Result` object produced by `sample`." + "There are a number of helpful tools that can be found in the [API docs](https://nvidia.github.io/cuda-quantum/latest/api/languages/python_api) to process the `Sample_Result` object produced by `sample`." ] }, { diff --git a/pr-2478/sphinx/releases.rst b/pr-2478/sphinx/releases.rst index 6a8a353462..de3e12d78b 100644 --- a/pr-2478/sphinx/releases.rst +++ b/pr-2478/sphinx/releases.rst @@ -4,12 +4,35 @@ CUDA-Q Releases **latest** -The latest version of CUDA-Q is on the main branch of our `GitHub repository `__ and is also available as a Docker image. More information about installing the nightly builds can be found :doc:`here ` +The latest version of CUDA-Q is on the main branch of our `GitHub repository `__ +and is also available as a Docker image. More information about installing the nightly builds can be found +:doc:`here ` - `Docker image (nightly builds) `__ - `Documentation `__ - `Examples `__ +**0.9.0** + +We are very excited to share a new toolset added for modeling and manipulating the dynamics of physical systems. +The new API allows to define and execute a time evolution under arbitrary operators. For more information, take +a look at the `docs `__. +The 0.9.0 release furthermore includes a range of contribution to add new backends to CUDA-Q, including backends +from `Anyon Technologies `__, +`Ferimioniq `__, and +`QuEra Computing `__, +as well as updates to existing backends from `ORCA `__ +and `OQC `__. +We hope you enjoy the new features - also check out our new notebooks and examples to dive into CUDA-Q. + +- `Docker image `__ +- `Python wheel `__ +- `C++ installer `__ +- `Documentation `__ +- `Examples `__ + +The full change log can be found `here `__. + **0.8.0** The 0.8.0 release adds a range of changes to improve the ease of use and performance with CUDA-Q. @@ -17,7 +40,7 @@ The changes listed below highlight some of what we think will be the most useful to know about. While the listed changes do not capture all of the great contributions, we would like to extend many thanks for every contribution, in particular those from external contributors. -- `Docker image `__ +- `Docker image `__ - `Python wheel `__ - `C++ installer `__ - `Documentation `__ @@ -30,7 +53,7 @@ The full change log can be found `here `__. +`here `__. It furthermore adds a range of bug fixes and changes the Python wheel installation instructions. - `Docker image `__ @@ -46,7 +69,7 @@ The full change log can be found `here `, giving you access to our most powerful GPU-accelerated simulators even if you don't have an NVIDIA GPU. With 0.7.0, we have furthermore greatly increased expressiveness of the Python and C++ language frontends. -Check out our `documentation `__ +Check out our `documentation `__ to get started with the new Python syntax support we have added, and `follow our blog `__ to learn more about the new setup and its performance benefits. diff --git a/pr-2478/using/examples/building_kernels.html b/pr-2478/using/examples/building_kernels.html index 8d8c88b98c..c70e4edfd5 100644 --- a/pr-2478/using/examples/building_kernels.html +++ b/pr-2478/using/examples/building_kernels.html @@ -831,7 +831,9 @@

        Building Kernels# ### Applying Gates # # -# After a kernel is constructed, gates can be applied to start building out a quantum circuit. All the predefined gates in CUDA-Q can be found [here](https://nvidia.github.io/cuda-quantum/latest/api/default_ops.html#unitary-operations-on-qubits). +# After a kernel is constructed, gates can be applied to start building out a quantum circuit. +# All the predefined gates in CUDA-Q can be found here: +# https://nvidia.github.io/cuda-quantum/api/default_ops. # # # Gates can be applied to all qubits in a register: