Variational Quantum Algorithms for the Steady States of Open Quantum Systems

被引：6
|
作者：
Liu, Huan-Yu [1 ,2 ]
Sun, Tai-Ping [1 ,2 ]
Wu, Yu-Chun [1 ,2 ,3 ]
Guo, Guo-Ping [1 ,2 ,3 ,4 ]
机构：
[1] Univ Sci & Technol China, Chinese Acad Sci, Sch Phys, Key Lab Quantum Informat, Hefei 230026, Peoples R China
[2] Univ Sci & Technol China, CAS Ctr Excellence Quantum Informat & Quantum Phy, Hefei 230026, Peoples R China
[3] Hefei Comprehens Natl Sci Ctr, Inst Artificial Intelligence, Hefei 230088, Peoples R China
[4] Origin Quantum Comp Hefei, Hefei 230026, Peoples R China
来源：
CHINESE PHYSICS LETTERS | 2021年 / 38卷 / 08期
关键词：
Lindblad master equation - Mixed state - One-dimensional - Open quantum systems - Parameterized - Quantum algorithms - Quantum circuit - Steady state - Transverse-field Ising model;
D O I：
10.1088/0256-307X/38/8/080301
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The solutions of the problems related to open quantum systems have attracted considerable interest. We propose a variational quantum algorithm to find the steady state of open quantum systems. In this algorithm, we employ parameterized quantum circuits to prepare the purification of the steady state and define the cost function based on the Lindblad master equation, which can be efficiently evaluated with quantum circuits. We then optimize the parameters of the quantum circuit to find the steady state. Numerical simulations are performed on the one-dimensional transverse field Ising model with dissipative channels. The result shows that the fidelity between the optimal mixed state and the true steady state is over 99%. This algorithm is derived from the natural idea of expressing mixed states with purification and it provides a reference for the study of open quantum systems.
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页数：6
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