Enabling Large-Scale and High-Precision Fluid Simulations on Near-Term Quantum Computers

Zhao-Yun Chen; Teng-Yang Ma; Chuang-Chao Ye; Liang Xu; Ming-Yang Tan; Xi-Ning Zhuang; Xiao-Fan Xu; Yun-Jie Wang; Tai-Ping Sun; Yong Chen; Lei Du; Liang-Liang Guo; Hai-Feng Zhang; Hao-Ran Tao; Tian-Le Wang; Xiao-Yan Yang; Ze-An Zhao; Peng Wang; Sheng Zhang; Chi Zhang; Ren-Ze Zhao; Zhi-Long Jia; Wei-Cheng Kong; Meng-Han Dou; Jun-Chao Wang; Huan-Yu Liu; Cheng Xue; Peng-Jun-Yi Zhang; Sheng-Hong Huang; Peng Duan; Yu-Chun Wu; Guo-Ping Guo

doi:10.1016/j.cma.2024.117428

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arXiv · 2406.06063

Enabling Large-Scale and High-Precision Fluid Simulations on Near-Term Quantum Computers

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Abstract

Quantum computational fluid dynamics (QCFD) offers a promising alternative to classical computational fluid dynamics (CFD) by leveraging quantum algorithms for higher efficiency. This paper introduces a comprehensive QCFD method, including an iterative method "Iterative-QLS" that suppresses error in quantum linear solver, and a subspace method to scale the solution to a larger size. We implement our method on a superconducting quantum computer, demonstrating successful simulations of steady Poiseuille flow and unsteady acoustic wave propagation. The Poiseuille flow simulation achieved a relative error of less than $0.2\%$, and the unsteady acoustic wave simulation solved a 5043-dimensional matrix. We emphasize the utilization of the quantum-classical hybrid approach in applications of near-term quantum computers. By adapting to quantum hardware constraints and offering scalable solutions for large-scale CFD problems, our method paves the way for practical applications of near-term quantum computers in computational science.

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Zhao-Yun Chen, Teng-Yang Ma, Chuang-Chao Ye, Liang Xu, Ming-Yang Tan, Xi-Ning Zhuang, Xiao-Fan Xu, Yun-Jie Wang, Tai-Ping Sun, Yong Chen, Lei Du, Liang-Liang Guo, Hai-Feng Zhang, Hao-Ran Tao, Tian-Le Wang, Xiao-Yan Yang, Ze-An Zhao, Peng Wang, Sheng Zhang, Chi Zhang, Ren-Ze Zhao, Zhi-Long Jia, Wei-Cheng Kong, Meng-Han Dou, Jun-Chao Wang, Huan-Yu Liu, Cheng Xue, Peng-Jun-Yi Zhang, Sheng-Hong Huang, Peng Duan, Yu-Chun Wu, Guo-Ping Guo. 2024-06-10. Enabling Large-Scale and High-Precision Fluid Simulations on Near-Term Quantum Computers. https://doi.org/10.1016/j.cma.2024.117428

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