Global stabilization control of stochastic quantum systems

被引:1
作者
Shuang CONG [1 ]
Jie WEN [1 ]
Sen KUANG [1 ]
Fangfang MENG [2 ]
机构
[1] School of Information and Science Technology, University of Science and Technology of China
[2] Department of Electronic Information and Electrical Engineering, Hefei University
基金
中国国家自然科学基金;
关键词
eigenstate; stochastic quantum systems; global stabilization; switching control; Lyapunov stability theorem;
D O I
暂无
中图分类号
O413 [量子论]; TP13 [自动控制理论];
学科分类号
070201 ; 0711 ; 071102 ; 0811 ; 081101 ; 081103 ;
摘要
The global stabilization control of arbitrary eigenstates for finite dimensional stochastic quantum systems with non-diagonal free Hamiltonian and non-regular measurement operator is studied in this paper.We propose a switching feedback control law, in which a constant control is used to steer the system state to a convergence domain, and another control law designed based on Lyapunov stability theorem, is used to attract the states in the convergence domain to the desired target state. The convergence to an arbitrary target eigenstate from any initial state is strictly proved. Moreover, numerical simulation experiments on a three-dimensional stochastic quantum system are implemented to demonstrate the effectiveness of the proposed control.
引用
收藏
页码:208 / 219
页数:12
相关论文
共 4 条
[1]  
STATE TRANSFER CONTROL OF QUANTUM SYSTEMS ON THE BLOCH SPHERE[J]. Yuesheng LOU·Shuang CONG Department of Automation,University of Science & Technology of China,Hefei 230027,China..Journal of Systems Science & Complexity. 2011(03)
[2]   Non-smooth Lyapunov function-based global stabilization for quantum filters [J].
Ge, Shuzhi Sam ;
Thanh Long Vu ;
Hang, Chang Chieh .
AUTOMATICA, 2012, 48 (06) :1031-1044
[3]   A straightforward introduction to continuous quantum measurement [J].
Jacobs, Kurt ;
Steck, Daniel A. .
CONTEMPORARY PHYSICS, 2006, 47 (05) :279-303
[4]  
Stochastic differential equations an introduction with applications .2 KSENDAL B. Springer-Verlag . 1993