Simulating unsteady fluid flows on a superconducting quantum processor
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arXiv
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| Main Authors: | , , , , , , , , , , , , , , , , , , , , , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916479689031680 |
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| author | Meng, Zhaoyuan Zhong, Jiarun Xu, Shibo Wang, Ke Chen, Jiachen Jin, Feitong Zhu, Xuhao Gao, Yu Wu, Yaozu Zhang, Chuanyu Wang, Ning Zou, Yiren Zhang, Aosai Cui, Zhengyi Shen, Fanhao Bao, Zehang Zhu, Zitian Tan, Ziqi Li, Tingting Zhang, Pengfei Xiong, Shiying Li, Hekang Guo, Qiujiang Wang, Zhen Song, Chao Wang, H. Yang, Yue |
| author_facet | Meng, Zhaoyuan Zhong, Jiarun Xu, Shibo Wang, Ke Chen, Jiachen Jin, Feitong Zhu, Xuhao Gao, Yu Wu, Yaozu Zhang, Chuanyu Wang, Ning Zou, Yiren Zhang, Aosai Cui, Zhengyi Shen, Fanhao Bao, Zehang Zhu, Zitian Tan, Ziqi Li, Tingting Zhang, Pengfei Xiong, Shiying Li, Hekang Guo, Qiujiang Wang, Zhen Song, Chao Wang, H. Yang, Yue |
| contents | Recent advancements of intermediate-scale quantum processors have triggered tremendous interest in the exploration of practical quantum advantage. The simulation of fluid dynamics, a highly challenging problem in classical physics but vital for practical applications, emerges as a good candidate for showing quantum utility. Here, we report an experiment on the digital simulation of unsteady flows, which consists of quantum encoding, evolution, and detection of flow states, 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. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_15878 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Simulating unsteady fluid flows on a superconducting quantum processor Meng, Zhaoyuan Zhong, Jiarun Xu, Shibo Wang, Ke Chen, Jiachen Jin, Feitong Zhu, Xuhao Gao, Yu Wu, Yaozu Zhang, Chuanyu Wang, Ning Zou, Yiren Zhang, Aosai Cui, Zhengyi Shen, Fanhao Bao, Zehang Zhu, Zitian Tan, Ziqi Li, Tingting Zhang, Pengfei Xiong, Shiying Li, Hekang Guo, Qiujiang Wang, Zhen Song, Chao Wang, H. Yang, Yue Quantum Physics Fluid Dynamics Recent advancements of intermediate-scale quantum processors have triggered tremendous interest in the exploration of practical quantum advantage. The simulation of fluid dynamics, a highly challenging problem in classical physics but vital for practical applications, emerges as a good candidate for showing quantum utility. Here, we report an experiment on the digital simulation of unsteady flows, which consists of quantum encoding, evolution, and detection of flow states, 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. 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. |
| title | Simulating unsteady fluid flows on a superconducting quantum processor |
| topic | Quantum Physics Fluid Dynamics |
| url | https://arxiv.org/abs/2404.15878 |