Simulation of open quantum systems on universal quantum computers

• URL: http://arxiv.org/abs/2405.20712v1
• Date: Fri, 31 May 2024 09:07:27 GMT
• Title: Simulation of open quantum systems on universal quantum computers
• Authors: Huan-Yu Liu, Xiaoshui Lin, Zhao-Yun Chen, Cheng Xue, Tai-Ping Sun, Qing-Song Li, Xi-Ning Zhuang, Yun-Jie Wang, Yu-Chun Wu, Ming Gong, Guo-Ping Guo,
• Abstract summary: We present an innovative and scalable method to simulate open quantum systems using quantum computers. We define an adjoint density matrix as a counterpart of the true density matrix, which reduces to a mixed-unitary quantum channel. accurate long-time simulation can also be achieved as the adjoint density matrix and the true dissipated one converges to the same state.
• Score: 15.876768787615179
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: The rapid development of quantum computers has enabled demonstrations of quantum advantages on various tasks. However, real quantum systems are always dissipative due to their inevitable interaction with the environment, and the resulting non-unitary dynamics make quantum simulation challenging with only unitary quantum gates. In this work, we present an innovative and scalable method to simulate open quantum systems using quantum computers. We define an adjoint density matrix as a counterpart of the true density matrix, which reduces to a mixed-unitary quantum channel and thus can be effectively sampled using quantum computers. This method has several benefits, including no need for auxiliary qubits and noteworthy scalability. Moreover, accurate long-time simulation can also be achieved as the adjoint density matrix and the true dissipated one converge to the same state. Finally, we present deployments of this theory in the dissipative quantum $XY$ model for the evolution of correlation and entropy with short-time dynamics and the disordered Heisenberg model for many-body localization with long-time dynamics. This work promotes the study of real-world many-body dynamics with quantum computers, highlighting the potential to demonstrate practical quantum advantages.

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