随机开放量子系统的纯态开关反馈控制  

Pure state switching feedback control for stochastic open quantum systems

作　　者：董智翔 丛爽[1] DONG Zhi-xiang;CONG Shuangy(Department of Automation,University of Science and Technology of China,Hefei Anhui 230027,China)

机构地区：[1]中国科学技术大学自动化系,安徽合肥230027

出　　处：《控制理论与应用》2022年第1期179-186,共8页Control Theory & Applications

基　　金：国家自然科学基金项目(61973290,61720106009)资助.

摘　　要：针对目标态为纯态的情况,本文对有限维随机开放量子系统,提出一种同时适用于本征态和叠加态的开关控制,它是由常量控制和基于李雅普诺夫方法设计的控制律组成,实现随机开放量子系统的状态转移和收敛控制,其中,李雅普诺夫函数为系统的状态距离,常量控制用来驱动系统状态从初始状态进入含有目标态的收敛域中,李雅普诺夫控制用来使进入收敛域中的状态继续收敛到期望的目标态.将所提出的控制方法,应用于2比特随机开放量子系统进行了数值仿真实验,并与本征态开关控制律方法进行了性能对比,实验结果表明了所提出的控制律的优越性.For the case that the target states are pure states,a switching control which is composed of a constant control and a control law based on Lyapunov control method is designed for the finite dimension stochastic open quantum system.The state transfer and convergence control of the system can be realized.The Lyapunov function is the state distance of the system.The constant control is used to drive the state of the system from the initial state to the convergence region containing the target state,and the Lyapunov control is used to make the state in the convergence region continue to converge to the desired target state.The proposed control method is applied to a 2-qubit stochastic open quantum system,and the performance is compared with the switching control law of eigenstates.The experimental results show the effectiveness of the proposed control law.

关 键 词：量子系统 纯态 开关控制 李雅普诺夫方法 

分 类 号：O413[理学—理论物理] TP273[理学—物理]