Generalized control of quantum systems in the frame of vector treatment  

作　　者：Sen KUANG Shuang CONG 

机构地区：[1]Department of Automation, University of Science and Technology of China, Hefei Anhui 230027, China [2]Hefei National Laboratory for Physical Sciences at the Microscale, Hefei Anhui 230026, China

出　　处：《控制理论与应用（英文版）》2009年第4期395-399,共5页

基　　金：supported by the China Postdoctoral Science Foundation Funded Project (No.20080430772);the National Natural Science Foundation of China (No.60904033);the National Key Basic Research Program (No.2006CB922004)

摘　　要：For the state control problem in finite-dimensional quantum systems with any initial state and a goal eigenstate, this paper studies the design method of control laws via the Lyapunov technology and in the vector frame, which ensures the convergence of any initial state toward the goal state. The stability of the closed-loop system in the goal eigenstate is analyzed and proven via the invariance principle. The simulation experiment on a spin-1/2 system shows the effectiveness of the designed control laws.For the state control problem in finite-dimensional quantum systems with any initial state and a goal eigenstate, this paper studies the design method of control laws via the Lyapunov technology and in the vector frame, which ensures the convergence of any initial state toward the goal state. The stability of the closed-loop system in the goal eigenstate is analyzed and proven via the invariance principle. The simulation experiment on a spin-1/2 system shows the effectiveness of the designed control laws.

关 键 词：Closed quantum system Lyapunov technology Invariance principle Stability 

分 类 号：TP311[自动化与计算机技术—计算机软件与理论] O413[自动化与计算机技术—计算机科学与技术]