Identification of Markovian open system dynamics for qubit systems  

作　　者：ZHOU WeiWei SCHIRMER Sophie GONG ErLing XIE HongWei ZHANG Ming 

机构地区：[1]Department of Automatic Control,College Mechatronics and Automation,National University of Defense Technology,Changsha 410073,China [2]Department of Applied Mathematics and Theoretical Physics,University of Cambridge,Wilberforce Road,CB3 OWA,UK [3]Physics Department,College of Science,Swansea University,Singleton Park,Swansea,SA2 8PP,UK

出　　处：《Chinese Science Bulletin》2012年第18期2242-2246,共5页

基　　金：supported by the National Natural Science Foundation of China(60974037,61134008);SGS acknowledges funding from EPSRC ARF Grant EP/D07192X/1 and Hitachi

摘　　要：We discuss the problem of identification of the dynamical generators for open two-level quantum systems in a Markovian environment.Based on Bloch sphere representation,the identification problem is converted to the estimation of a 3-dimensional real process matrix A and an inhomogeneous term c.The parameter identifiability and sufficient conditions for completely identification of A and c are obtained.Further discussion shows that the obtained sufficient conditions are not always necessary.The approach can be generalized to finite-level open quantum systems in an arbitary Markovian environment.We discuss the problem of identification of the dynamical generators for open two-level quantum systems in a Markovian environment. Based on Bloch sphere representation, the identification problem is converted to the estimation of a 3-dimensional real process matrix A and an inhomogeneous term c. The parameter identifiability and sufficient conditions for completely identification of A and c are obtained. Further discussion shows that the obtained sufficient conditions are not always necessary. The approach can be generalized to finite-level often auantum systems in an arbitarv Markovian environment.

关 键 词：系统动力学 量子位 量子系统 马氏环境 问题转换 充分条件 参数辨识 环境系统 

分 类 号：O413.1[理学—理论物理] N941.3[理学—物理]