Simulating fluid vortex interactions on a superconducting quantum processor

Fuente: arXiv
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Autores principales: Wang, Ziteng, Zhong, Jiarun, Wang, Ke, Zhu, Zitian, Bao, Zehang, Zhu, Chenjia, Zhao, Wenwen, Zhao, Yaomin, Yang, Yue, Song, Chao, Xiong, Shiying
Formato: Preprint
Publicado: 2025
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author Wang, Ziteng
Zhong, Jiarun
Wang, Ke
Zhu, Zitian
Bao, Zehang
Zhu, Chenjia
Zhao, Wenwen
Zhao, Yaomin
Yang, Yue
Song, Chao
Xiong, Shiying
author_facet Wang, Ziteng
Zhong, Jiarun
Wang, Ke
Zhu, Zitian
Bao, Zehang
Zhu, Chenjia
Zhao, Wenwen
Zhao, Yaomin
Yang, Yue
Song, Chao
Xiong, Shiying
contents Vortex interactions are commonly observed in atmospheric turbulence, plasma dynamics, and collective behaviors in biological systems. However, accurately simulating these complex interactions is highly challenging due to the need to capture fine-scale details over extended timescales, which places computational burdens on traditional methods. In this study, we introduce a quantum vortex method, reformulating the Navier--Stokes (NS) equations within a quantum mechanical framework to enable the simulation of multi-vortex interactions on a quantum computer. We construct the effective Hamiltonian for the vortex system and implement a spatiotemporal evolution circuit to simulate its dynamics over prolonged periods. By leveraging eight qubits on a superconducting quantum processor with gate fidelities of 99.97\% for single-qubit gates and 99.76\% for two-qubit gates, we successfully reproduce natural vortex interactions. This method bridges classical fluid dynamics and quantum computing, offering a novel computational platform for studying vortex dynamics. Our results demonstrate the potential of quantum computing to tackle longstanding challenges in fluid dynamics and broaden applications across both natural and engineering systems.
format Preprint
id arxiv_https___arxiv_org_abs_2506_04023
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Simulating fluid vortex interactions on a superconducting quantum processor
Wang, Ziteng
Zhong, Jiarun
Wang, Ke
Zhu, Zitian
Bao, Zehang
Zhu, Chenjia
Zhao, Wenwen
Zhao, Yaomin
Yang, Yue
Song, Chao
Xiong, Shiying
Quantum Physics
Fluid Dynamics
Vortex interactions are commonly observed in atmospheric turbulence, plasma dynamics, and collective behaviors in biological systems. However, accurately simulating these complex interactions is highly challenging due to the need to capture fine-scale details over extended timescales, which places computational burdens on traditional methods. In this study, we introduce a quantum vortex method, reformulating the Navier--Stokes (NS) equations within a quantum mechanical framework to enable the simulation of multi-vortex interactions on a quantum computer. We construct the effective Hamiltonian for the vortex system and implement a spatiotemporal evolution circuit to simulate its dynamics over prolonged periods. By leveraging eight qubits on a superconducting quantum processor with gate fidelities of 99.97\% for single-qubit gates and 99.76\% for two-qubit gates, we successfully reproduce natural vortex interactions. This method bridges classical fluid dynamics and quantum computing, offering a novel computational platform for studying vortex dynamics. Our results demonstrate the potential of quantum computing to tackle longstanding challenges in fluid dynamics and broaden applications across both natural and engineering systems.
title Simulating fluid vortex interactions on a superconducting quantum processor
topic Quantum Physics
Fluid Dynamics
url https://arxiv.org/abs/2506.04023