Rapid stabilization of stochastic quantum systems in a unified framework

作     者：温杰 王芳敏 史元浩 贾建芳 曾建潮 Jie Wen;Fangmin Wang;Yuanhao Shi;Jianfang Jia;Jianchao Zeng

作者机构：School of Electrical and Control EngineeringNorth University of ChinaTaiyuan 030051China State Key Laboratory of Precision Measurement Technology and InstrumentsDepartment of Precision InstrumentTsinghua UniversityBeijing 100084China School of Computer Science and TechnologyNorth University of ChinaTaiyuan 030051China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2023年第32卷第7期

页      面：216-225页

核心收录：

学科分类：0711[理学-系统科学] 02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 070201[理学-理论物理] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0811[工学-控制科学与工程] 0701[理学-数学] 0702[理学-物理学] 

基　　金：Project supported in part by the National Natural Science Foundation of China(Grant No.72071183) Research Project Supported by Shanxi Scholarship Council of China(Grant No.2020-114) 

主　　题：rapid stabilization state feedback stochastic quantum systems switching control 

摘      要：Rapid stabilization of general stochastic quantum systems is investigated based on the rapid stability of stochastic differential *** introduce a Lyapunov-LaSalle-like theorem for a class of nonlinear stochastic systems first,based on which a unified framework of rapidly stabilizing stochastic quantum systems is *** to the proposed unified framework,we design the switching state feedback controls to achieve the rapid stabilization of singlequbit systems,two-qubit systems,and N-qubit *** the unified framework,the state space is divided into two state subspaces,and the target state is located in one state subspace,while the other system equilibria are located in the other state *** the designed state feedback controls,the system state can only transit through the boundary between the two state subspaces no more than two times,and the target state is globally asymptotically stable in *** particular,the system state can converge exponentially in(all or part of)the state subspace where the target state is ***,the effectiveness and rapidity of the designed state feedback controls are shown in numerical simulations by stabilizing GHZ states for a three-qubit system.