State transfer based on decoherence-free target state by Lyapunov-based control  

作　　者：Jie YANG Shuang CONG Fei YANG 

机构地区：[1]Department of Automation,University of Science and Technology of China

出　　处：《控制理论与应用（英文版）》2012年第4期549-553,共5页

基　　金：partly supported by the National Key Basic Research Program(No.2011CBA00200);the Natural Science Foundation of China(No. 61074050);the Doctoral Fund of Ministry of Education of China(No.20103402110044)

摘　　要：We propose a Lyapunov-based control approach for state transfer based on the decoherence-free target state. The expected target state is constructed to be a decoherence-free state in a decoherence-free subspace （DFS） by an external laser field I, so that the system state can be decoupled from the environment, and no more decoherence process will occur. With the decoherence-free target state, we design a Lyapunov-based control field II to steer the given initial state to the decoherence-free state of open quantum systems as completely as possible, and decouple the system state from the environment at the same time. In the end, it is verified that the state transfer control designed comes true on a A-type four-level atomic system, and the system can stay on the decoherence-free target state without coupling to environment.We propose a Lyapunov-based control approach for state transfer based on the decoherence-free target state. The expected target state is constructed to be a decoherence-free state in a decoherence-free subspace （DFS） by an external laser field I, so that the system state can be decoupled from the environment, and no more decoherence process will occur. With the decoherence-free target state, we design a Lyapunov-based control field II to steer the given initial state to the decoherence-free state of open quantum systems as completely as possible, and decouple the system state from the environment at the same time. In the end, it is verified that the state transfer control designed comes true on a A-type four-level atomic system, and the system can stay on the decoherence-free target state without coupling to environment.

关 键 词：Decoherence-free state Decoherence-free subspace State transfer Lyapunov-based control 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]