# Source: https://developer.nvidia.com/cuquantum-sdk.md

# cuQuantum

NVIDIA cuQuantum is an SDK of optimized libraries and tools that accelerate quantum computing emulations at both the circuit and device level by orders of magnitude.

 ![Placeholder](https://d29g4g2dyqv443.cloudfront.net/sites/default/files/akamai/nvidia-cuquantum-icon.svg)

[Download Now](https://developer.nvidia.com/cuquantum-downloads &quot;Github Repo&quot;)[Install With Conda](https://anaconda.org/conda-forge/cuquantum-python &quot;Download Workflows&quot;)

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## Quick Links  

NGC 

### CUDA-Q  

A quantum framework with simulators powered by cuQuantum in a container.

Documentation 

### Documentation

Documentation for cuQuantum and the cuQuantum Appliance

OSS (Github) 

### GitHub  

The cuQuantum public repository, including cuQuantum Python bindings and examples

Documentation 

### Latest Notes 

The cuQuantum release notes, including the latest and greatest features

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## Features and Benefits

 ![Flexibility](https://developer.download.nvidia.com/icons/m48-fleet-command.svg)
### Flexible

Choose the best approach for your work from algorithm-agnostic accelerated quantum circuit simulation methods.

1. 

State vector method features include optimized memory management and, gate application kernels.

2. 

Tensor Network Method features include accelerated tensor network contraction, order optimization, and approximate contractions.

3. 

Density Matrix Method features include arbitrary operator action on the state.

 ![Scalability](https://developer.download.nvidia.com/icons/m48-scalability-up-sample.svg)
### Scalable

Leverage the power of multi-node, multi-GPU clusters using the latest GPUs on premises or in the cloud.

1. 

Low-level C++ APIs provide increased control and flexibility for a single GPU and single-node multi-GPU clusters.

2. 

The high-level Python API supports drop-in multi-node execution.

 ![Fast speed](https://developer.download.nvidia.com/icons/m48-speed.svg)
### Fast

Simulate bigger problems faster, and get more work done sooner.

1. 

Using an NVIDIA H200 Tensor Core GPU over CPU implementations delivers orders-of-magnitude speedups on key quantum problems, including random quantum circuits, Shor’s algorithm, and the Variational Quantum Eigensolver.

2. 

Leveraging the NVIDIA Eos supercomputer, cuQuantum generated a sample from a full-circuit simulation of the Google Sycamore processor in less than five minutes.

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## cuQuantum Framework Integrations  

cuQuantum is integrated with leading quantum simulation frameworks. Download cuQuantum to dramatically accelerate performance using your framework of choice, with zero code changes.

 ![NVIDIA cuQuantum is integrated with Amazon Web Services (AWS)](https://d29g4g2dyqv443.cloudfront.net/sites/default/files/akamai/cuquantum/aws-logo.svg)

 ![NVIDIA cuQuantum is integrated with Cirq](https://d29g4g2dyqv443.cloudfront.net/sites/default/files/akamai/cuquantum/ic-cirq-logo.svg)

 ![NVIDIA cuQuantum is integrated with Gruppy](https://developer.download.nvidia.com/images/cuquantum/guppy-logo.svg)

 ![NVIDIA cuQuantum is integrated with ExaTN](https://d29g4g2dyqv443.cloudfront.net/sites/default/files/akamai/cuquantum/exatn-logo.svg)

 ![NVIDIA cuQuantum is integrated with Pennylane](https://d29g4g2dyqv443.cloudfront.net/sites/default/files/akamai/cuquantum/pennylane-logo.svg)

 ![NVIDIA cuQuantum is integrated with Qibo](https://d29g4g2dyqv443.cloudfront.net/sites/default/files/akamai/cuquantum/ic-qibo-logo.svg)

 ![NVIDIA cuQuantum is integrated with Qiskit](https://d29g4g2dyqv443.cloudfront.net/sites/default/files/akamai/cuquantum/ic-qiskit-logo.svg)

 ![NVIDIA cuQuantum is integrated with QuEST](https://developer.download.nvidia.com/images/cuquantum/quest-logo.svg)

 ![NVIDIA cuQuantum is integrated with QurlParts](https://developer.download.nvidia.com/images/cuquantum/quriparts-logo.svg)

 ![NVIDIA cuQuantum is integrated with QuTIP](https://developer.download.nvidia.com/images/cuquantum/qutip-logo.svg)

 ![NVIDIA cuQuantum is integrated with TKET](https://developer.download.nvidia.com/images/cuquantum/quantinuum-tket-logo.svg)

 ![NVIDIA cuQuantum is integrated with Torch Quantum](https://d29g4g2dyqv443.cloudfront.net/sites/default/files/torch-quantum-logo.svg)

 ![NVIDIA cuQuantum is integrated with XACC](https://d29g4g2dyqv443.cloudfront.net/sites/default/files/akamai/cuquantum/ic-xacc-logo.svg)

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## Components

Tools to accelerate quantum emulations on NVIDIA hardware.

cuDensityMat

cuPauliProp

cuStabilizer

cuStateVec

cuTensorNet

### Largest Scale Dynamics

Designing quantum computers and devices has always been challenging. Simulations for these problems can be slow and limited in their ability to scale. cuQuantum now includes time dynamics functionality, which enables users to accelerate analog Hamiltonian dynamics to unprecedented scales. Users can now better understand how to optimize device design where quantum phenomena occur faster than before.  
  
By distributing the state and operators across multi-GPU, multi-node systems, cuQuantum allows phase space exploration larger than ever before, only limited by the number of GPUs a user has access to.

[Learn More About cuQuantum Dynamics](https://developer.nvidia.com/blog/accelerating-googles-qpu-development-with-new-quantum-dynamics-capabilities/)

![](https://developer.download.nvidia.com/images/cuquantum/36q-multi-node-quantum-dynamics-simulation.png)

Google was able to scale simulations of analog dynamics on its processors to 40 qubits with 1024 GPUs using NVIDIA’s Eos supercomputer. This enables QPU builders like Google to understand long-range effects on their devices, perform validation, and design more effectively than ever before, ushering in a new age for QPU design.

### Fastest GPU Implementations

The core operator action API gives developers of custom solvers the flexibility to apply arbitrary time-dependent operators to the quantum state more efficiently than was previously possible. Our advanced algorithms allow us to scale further with the same hardware memory.   
  
This enables users to design better quantum systems more quickly than was previously possible. With multi-GPU memory, developers can drastically accelerate their QPU design cycle by simulating 473 different quantum systems in the time it formerly took to do just one. Strong scaling shows that these APIs can speed up a range of Hamiltonians and operator terms to even further accelerate hardware development cycle.

[Learn More About cuQuantum cuDensityMat](https://docs.nvidia.com/cuda/cuquantum/latest/cudensitymat/index.html)

![A graph showing a transmon coupler resonator noisy device quantum dynamics](https://developer.download.nvidia.com/images/cuquantum/transmon-coupler-resonator-graph.svg)

cuDensityMat speeds up and scales simulations beyond what was previously possible with the next-best alternatives. Simulating a qudit coupler resonator is multiple orders of magnitude faster and can scale simulations to an arbitrary number of GPUs. This shows scaling to 1024 GPUs with GB200 NVL72 for a Hilbert space with 1.44 million levels. Users can now study much more complex systems and larger unit cells of quantum devices.

### Multi-GPU Speedups  

State vector simulation tracks the entire state of the system over time, through each gate operation. It’s an excellent tool for simulating deep or highly entangled quantum circuits, and for simulating noisy qubits.  
  
Recent software updates to our offering have enabled a 5.53x speedup over previously reported numbers. When combined with ~2.5x speedups offered by NVIDIA Blackwell GPUs, users see even greater speedups over CPU implementations, despite CPU hardware and software improvements.

![A graph showing 34Q QFT state vector simulation with noise using NVIDIA cuStateVec](https://developer.download.nvidia.com/images/cuquantum/34q-qft-state-vector-simulation-custatevec-graph.svg)

cuStateVec speeds up noisy simulations of critical quantum algorithms, such as the quantum Fourier transform, by 25x on NVIDIA GB200 NVL72 over a single GPU, achieving nearly linear scaling. This tool enables extremely fast noisy quantum simulations to be done with speed of light on the NVIDIA stack.

### Multi-Node Speedups  

This multi-node capability enables users of the NVIDIA Quantum platform to achieve the most performant quantum circuit simulations at supercomputer scales. On key problems like quantum phase estimation, quantum approximate optimization algorithm (QAOA), quantum volume, and more, the newest cuQuantum Appliance is over two orders of magnitude faster than previous implementations and seamlessly scales from a single GPU to a supercomputer.

[Learn More About cuStateVec](https://docs.nvidia.com/cuda/cuquantum/latest/custatevec/index.html)

![A graph showing weak scaling state vector simulation on GB200 NVL72 using NVIDIA cuStateVec](https://developer.download.nvidia.com/images/cuquantum/weak-scaling-state-vector-simulations-graph.svg)

Performance is benchmarked leveraging quantum volume with a depth of 30, along with QAOA and a small quantum phase estimation, run on NVIDIA GB200 NVL72 up to 40 qubits in single precision. On average, cuQuantum with B200 GPUs is 3x faster than H100s at 40 qubits.

### Pathfinding Performance

Tensor network methods are rapidly gaining popularity to simulate hundreds or thousands of qubits for near-term quantum algorithms. Tensor networks scale with the number of quantum gates rather than the number of qubits. This makes it possible to simulate very large qubit counts with smaller gate counts on large supercomputers.   
  
Tensor contractions dramatically reduce the memory requirement for running a circuit on a tensor network simulator. The research community is investing heavily in improving pathfinding methods for quickly finding near-optimal tensor contractions before running a simulation.  
  
cuTensorNet provides state-of-the-art performance for both the pathfinding and contraction stages of tensor network simulation. 

![A graph showing time to find an optimized contraction path using single core](https://developer.download.nvidia.com/images/cuquantum/time-to-find-and-optimized-contraction-path-using-single-core-100.jpg)

Performance for cuTensorNet pathfinding compared to Cotengra in terms of seconds per sample. Both runs are leveraging a single-core Xeon Platinum 8480+.  
  
Sycamore refers to 53-qubit random quantum circuits of depth 10, and 20 from Arute et al., Quantum supremacy using a programmable superconducting processor. [www.nature.com/articles/s41586-019-1666-5](https://www.nature.com/articles/s41586-019-1666-5)  
  
Cotengra: Gray &amp; Kourtis, Hyper-optimized Tensor Network Contraction, 2021. [quantum-journal.org/papers/q-2021-03-15-410](https://quantum-journal.org/papers/q-2021-03-15-410/)

### Less Contraction Time, More Efficiency

When comparing contraction performance for cuTensorNet against Torch, cuPy, and NumPy, all runs leverage the same best contraction path. cuTensorNet, cuPy, and Torch all ran on one NVIDIA B200 GPU, and NumPy was run on a single-socket Emerald Rapids CPU.   
  
Using cuQuantum, NVIDIA researchers simulated a quantum support vector machine for a wide range of classification problems using 65,000 qubits on the NVIDIA GB200 NVL72—orders of magnitude larger than the largest problem run on quantum hardware to date.

[Learn More About cuTensorNet](https://docs.nvidia.com/cuda/cuquantum/latest/cutensornet/index.html)

![A graph showing state-of-the-art contraction time performance for NVIDIA cuTensorNet against numPy](https://developer.download.nvidia.com/images/cuquantum/state-of-the-art-contraction-time-performance-numpy-graph.svg)

![A chart showing MPS gate split performance on GPU](https://developer.download.nvidia.com/images/cuquantum/state-of-the-art-contraction-time-performance-torch-graph.svg)

Sycamore Circuit: 53 qubits depth 10  
Quantum Fourier Transform: 34 qubits  
Inverse Quantum Fourier Transform: 36 qubits  
Quantum Volume: 26 and 30 qubits with depth 30  
QAOA: 36 qubits with one and four parameters

### Approximate Tensor Network Methods

As ‌quantum problems of interest can greatly vary in both size and complexity, researchers have developed highly customized approximate tensor network algorithms to address the gamut of possibilities. To enable easy integration with these frameworks and libraries, cuTensorNet provides a set of APIs to cover the following common use cases: tensor QR, tensor SVD, and gate split. These primitives enable users to accelerate and scale different types of quantum circuit simulators. A common approach to simulating quantum computers, which takes advantage of these methods, is Matrix Product States (MPS, also known as tensor train). Users can leverage these new cuTensorNet APIs to accelerate MPS-based quantum circuit simulators. The gate split and tensor SVD APIs enable nearly an order of magnitude speedup over state-of-the-art CPU implementations. Tensor QR is the most efficient, with nearly two orders-of-magnitude speedup over the same Xeon 8480+ CPU.

[Learn More About cuTensorNet](https://docs.nvidia.com/cuda/cuquantum/latest/cutensornet/index.html)

![A graph showing Matrix Product States (MPS) simulation tensor singular value decomposition (tensor SVD) performance on GPU](https://developer.download.nvidia.com/images/cuquantum/mps-simulation-svd-performance-gpu-graph.svg)

MPS Singular Value Decomposition performance is measured in execution time as a function of bond dimension. We execute this on an NVIDIA B200 140 GB GPU and compare it to NumPy running on an EPYC 9124 data center CPU.

### Fast Expectation Values

Simulating large-scale quantum systems and calculating the observables has been expensive with other approaches, such as Matrix Product State methods. Pauli propagation techniques express observables in terms of an expansion in products of Pauli operators and allow tracking of only the most important ones as the circuit is applied in reverse to the observable, leading to very efficient expectation value calculations. While this effort has largely been restricted to CPU hardware, cuQuantum offers primitives to drastically accelerate and scale this workload on GPUs today. This will enable cutting-edge researchers and quantum computer builders to validate and verify their results in regimes not previously possible.

[Learn More About cuPauliProp](https://docs.nvidia.com/cuda/cuquantum/latest/cupauliprop/index.html)

![A graph showing GPU speedup over Qiskit PauliProp for 127 qubit utility circuit](https://developer.download.nvidia.com/images/cuquantum/gpu-speedup-qiskit-pauliprop-graph.svg)

cuQuantum GPU simulations show multiple orders of magnitude speedups for a range of truncation schemes on NVIDIA GB200 compared to Qiskit PauliProp on an Emerald Rapids Data Center CPU.

### High Sampling Rates   

Understanding the effect of noise on Clifford circuits is a key for Quantum Error Correction (QEC) and hardware development. This involves simulating how rare noise events affect quantum measurements, which makes such simulation a critical workload for developing error correction codes and decoders to fix these errors. Users who leverage GPU acceleration are able to increase the rates at which they can perform offline real-time decoding with decoders and simulators in the same loop. Similarly, generating synthetic data to train AI-based decoders is often bottlenecked by CPU simulation. By bringing the emulation of Clifford circuits onto GPUs, this tool can add value to researchers on the cutting edge. 

[Learn More About cuStabilizer](https://docs.nvidia.com/cuda/cuquantum/latest/custabilizer/index.html)

![A graph showing throughput and speedup for surface code distance of 31 using NVIDIA cuQuantum](https://developer.download.nvidia.com/images/cuquantum/throughput-speedup-cuquantum-graph.svg)

cuQuantum drastically improves the sampling rate for noisy effects on measurements. With a surface code distance of 31, the number of runtime per number of samples scales much better with NVIDIA GB200 compared to stim off the shelf, even with a custom multithreaded wrapper on an Emerald Rapids data center CPU.

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## Resources  

Whether you’re a researcher, developer, or enthusiast, our resources are tailored to help you get the most out of your quantum simulations and algorithms. Explore these resources to unlock the full potential of cuQuantum and accelerate your quantum research and development. 

### Watch GTC Sessions

- 

[Watch the Latest NVIDIA SC24 Special Address](https://www.nvidia.com/en-us/events/supercomputing/)

- 

[Watch the Latest NVIDIA GTC keynote](https://www.nvidia.com/gtc/keynote/)

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[NVIDIA GTC23 Quantum Computing Sessions](https://www.nvidia.com/gtc/session-catalog/?tab.catalogallsessionstab=16566177511100015Kus&amp;search=&amp;search.topic=16246413645860352Wfy&amp;ncid=so-twit-862889#/)
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[Watch the latest NVIDIA GTC keynote](https://www.nvidia.com/gtc/keynote/)

- 
[NVIDIA GTC23 Quantum Computing Sessions](https://www.nvidia.com/gtc/session-catalog/?tab.catalogallsessionstab=16566177511100015Kus&amp;search=&amp;search.topic=16246413645860352Wfy&amp;ncid=so-twit-862889#/)
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[Introducing cuQuantum: Accelerating State Vector and Tensor Network-Based Quantum Circuit Simulation](https://events.rainfocus.com/widget/nvidia/nvidiagtc/sessioncatalog?search=A31093)
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[A Deep Dive on the Latest HPC Software](https://gtc21.event.nvidia.com/media/A%20Deep%20Dive%20into%20the%20Latest%20HPC%20Software%20%5BS31286%5D/1_d2i9gz18)
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[Benchmarking GPU Clusters With Universal Quantum Computing Simulations](https://gtc21.event.nvidia.com/media/Benchmarking%20GPU%20Clusters%20with%20the%20J%C3%BClich%20Universal%20Quantum%20Computer%20Simulator%20%5BE31941%5D/1_qfpd6x8r)

### Read NVIDIA Blog Posts

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[Accelerating Google’s QPU Development With New Quantum Dynamics Capabilities](https://developer.nvidia.com/blog/accelerating-googles-qpu-development-with-new-quantum-dynamics-capabilities/)

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[NVIDIA, Rolls-Royce, and Classiq Announce Quantum Computing Breakthrough for Computational Fluid Dynamics in Jet Engines](https://nvidianews.nvidia.com/news/nvidia-rolls-royce-and-classiq-announce-quantum-computing-breakthrough-for-computational-fluid-dynamics-in-jet-engines)

- [Accelerating Google’s QPU Development with New Quantum Dynamics Capabilities  
](https://developer.nvidia.com/blog/accelerating-googles-qpu-development-with-new-quantum-dynamics-capabilities/)
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[NVIDIA, Rolls-Royce and Classiq Announce Quantum Computing Breakthrough for Computational Fluid Dynamics in Jet Engines](https://nvidianews.nvidia.com/news/nvidia-rolls-royce-and-classiq-announce-quantum-computing-breakthrough-for-computational-fluid-dynamics-in-jet-engines)
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[Enabling Matrix Product State–Based Quantum Circuit Simulation With NVIDIA cuQuantum](https://developer.nvidia.com/blog/enabling-matrix-product-state-based-quantum-circuit-simulation-with-nvidia-cuquantum/)
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[Best-in-Class Quantum Circuit Simulation at Scale With NVIDIA cuQuantum Appliance](https://developer.nvidia.com/blog/best-in-class-quantum-circuit-simulation-at-scale-with-nvidia-cuquantum-appliance/)
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[Achieving Supercomputing-Scale Quantum Circuit Simulation With the cuQuantum Appliance](https://developer.nvidia.com/blog/achieving-supercomputing-scale-quantum-circuit-simulation-with-the-dgx-cuquantum-appliance/)
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[Growing Range of Researchers, Scientists Adopt NVIDIA cuQuantum and CUDA Quantum](https://blogs.nvidia.com/blog/2022/09/20/cuquantum-qoda-adoption-accelerates/)
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[NVIDIA Teams With Google Quantum AI, IBM, and Other Leaders to Speed Research in Quantum Computing](https://blogs.nvidia.com/blog/2021/11/09/cuquantum-public-beta/)
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[NVIDIA Sets World Record for Quantum Computing Simulation With cuQuantum Running on DGX SuperPOD](https://blogs.nvidia.com/blog/2021/11/09/cuquantum-world-record/)
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[What Is Quantum Computing?](https://blogs.nvidia.com/blog/2021/04/12/what-is-quantum-computing/)
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[Accelerating Quantum Circuit Simulation With NVIDIA cuStateVec](https://developer.nvidia.com/blog/accelerating-quantum-circuit-simulation-with-nvidia-custatevec)
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[Scaling Quantum Circuit Simulation With NVIDIA cuTensorNet](https://developer.nvidia.com/blog/scaling-quantum-circuit-simulation-with-cutensornet/)
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[What Is a QPU?](https://blogs.nvidia.com/blog/2022/07/29/what-is-a-qpu/)

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## More Resources

 ![A decorative image representing Developer Community](https://developer.download.nvidia.com/icons/m48-people-group.svg)

### Community  

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### Inception for Startups  

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## Get started with cuQuantum today.  

[Download Now](https://developer.nvidia.com/cuquantum-downloads)