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Peer-reviewedCC BY 4.0Quantum

GPU-Accelerated Quantum Simulation of Stabilizer Circuits

  1. 1Leiden Institute of Advanced Computer Science (LIACS), Leiden University, Leiden, The Netherlands

Abstract

We introduce new parallel algorithms for efficiently simulating stabilizer (Clifford) circuits on GPUs, with a focus on data-parallel tableau evolution and scalable handling of projective measurements. Our approach reformulates key bottlenecks in stabilizer simulation – such as Gaussian elimination and measurement updates – into GPU-tailored primitives that eliminate sequential dependencies and maximize memory coalescing. We implement these techniques in QuaSARQ, a GPU-accelerated stabilizer simulator designed for large qubit counts and many-shot sampling. Across a broad benchmark suite reaching 180,000 qubits and depth 1,000 (roughly 130M gates), QuaSARQ shows substantial runtime improvements, with up to 105 × speedup, and over 80% energy reduction on demanding instances. Moreover, QuaSARQ consistently outperforms Stim, a state-of-the-art CPU-optimized stabilizer simulator, as well as Qiskit-Aer (CPU/GPU), Qibo, Cirq, and PennyLane. Finally, QuaSARQ exhibits a significant advantage in many-shot sampling on large workloads. These results demonstrate that our parallel algorithms can significantly advance the scalability of stabilizer-circuit simulation, particularly for workloads involving extensive measurements and sampling.

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BibTeX
@article{osama2026gpuaccelerated,
  title = {{GPU-Accelerated Quantum Simulation of Stabilizer Circuits}},
  author = {Muhammad Osama and Dimitrios Thanos and Alfons Laarman},
  journal = {Quantum},
  year = {2026},
  month = oct,
  doi = {10.22331/q-2026-10-01-2225},
  url = {https://quantum-journal.org/papers/q-2026-10-01-2225/},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - GPU-Accelerated Quantum Simulation of Stabilizer Circuits
AU  - Muhammad Osama
AU  - Dimitrios Thanos
AU  - Alfons Laarman
PY  - 2026
DA  - 2026/10/01
JO  - Quantum
DO  - 10.22331/q-2026-10-01-2225
UR  - https://quantum-journal.org/papers/q-2026-10-01-2225/
AB  - We introduce new parallel algorithms for efficiently simulating stabilizer (Clifford) circuits on GPUs, with a focus on data-parallel tableau evolution and scalable handling of projective measurements. Our approach reformulates key bottlenecks in stabilizer simulation – such as Gaussian elimination and measurement updates – into GPU-tailored primitives that eliminate sequential dependencies and maximize memory coalescing. We implement these techniques in QuaSARQ, a GPU-accelerated stabilizer simulator designed for large qubit counts and many-shot sampling. Across a broad benchmark suite reaching 180,000 qubits and depth 1,000 (roughly 130M gates), QuaSARQ shows substantial runtime improvements, with up to 105 × speedup, and over 80% energy reduction on demanding instances. Moreover, QuaSARQ consistently outperforms Stim, a state-of-the-art CPU-optimized stabilizer simulator, as well as Qiskit-Aer (CPU/GPU), Qibo, Cirq, and PennyLane. Finally, QuaSARQ exhibits a significant advantage in many-shot sampling on large workloads. These results demonstrate that our parallel algorithms can significantly advance the scalability of stabilizer-circuit simulation, particularly for workloads involving extensive measurements and sampling.
SN  - 2521-327X
ER  -