Simulating unsteady flows on a superconducting quantum processor

作者：Zhaoyuan Meng, Jiarun Zhong, Shibo Xu, Ke Wang, Jiachen Chen, Feitong Jin, Xuhao Zhu, Yu Gao, Yaozu Wu, Chuanyu Zhang, Ning Wang, Yiren Zou, Aosai Zhang, Zhengyi Cui, Fanhao Shen, Zehang Bao, Zitian Zhu, Ziqi Tan, Tingting Li, Pengfei Zhang, Shiying Xiong, Hekang Li, Qiujiang Guo, Zhen Wang, Chao Song, Hui Wang, Yue Yang · 发表于：Communications Physics · 年份：2024 · DOI：10.1038/s42005-024-01845-w · 被引用次数：27 · 研究领域：Quantum Computing Algorithms and Architecture、Quantum Information and Cryptography、Quantum many-body systems

Recent advancements of quantum technologies have triggered tremendous interest in exploring practical quantum advantage. The simulation of fluid dynamics, a highly challenging problem in classical physics but vital for practical applications, emerges as a potential direction. Here, we report an experiment on the digital simulation of unsteady flows with a superconducting quantum processor. The quantum algorithm is based on the Hamiltonian simulation using the hydrodynamic formulation of the Schrödinger equation. With the median fidelities of 99.97% and 99.67% for parallel single- and two-qubit gates respectively, we simulate the dynamics of a two-dimensional (2D) compressible diverging flow and a 2D decaying vortex with ten qubits. Note that the former case is an inviscid potential flow, and the latter one is an artificial vortical flow with an external body force. The experimental results well capture the temporal evolution of averaged density and momentum profiles, and qualitatively reproduce spatial flow fields with moderate noises. This work demonstrates the potential of quantum computing in simulating more complex flows, such as turbulence, for practical applications. Fluid dynamics simulation, a complex challenge in classical physics, is relevant for real-world applications and highlights the potential of quantum computing. The authors report an experiment for the digital simulation of unsteady flows on a superconducting quantum processor, and show that the results effe...