Sufficient and necessary conditions of separability for bipartite pure states in infinite-dimensional systems  

作　　者：GUO Yu QI XiaoFei HOU JinChuan 

机构地区：[1]Department of Mathematics, Shanxi University, Taiyuan 030006, China [2]Department of Mathematics, Shanxi Datong University, Datong 037009, China [3]Department of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China

出　　处：《Chinese Science Bulletin》2011年第9期840-846,共7页

基　　金：supported by the National Natural Science Foundation of China (10771157 and 10871111);TianYuan Foundation of China (11026161);Research Fund of Shanxi for Returned Scholars (2007-38);Research Fund of Shanxi University

摘　　要：The PHC criterion and the realignment criterion for pure states in infinite-dimensional bipartite quantum systems are given. Furthermore, several equivalent conditions for pure states to be separable are generalized to infinite-dimensional systems.In quantum mechanics, the states of the system are described by density operators which are positive linear operators on a complex Hilbert H with unit trace and the observables are represented by self-adjoint operators on H. A density operator that is a projection on a single vector is referred to as representing a pure state, while other density operators are representing mixed states.

关 键 词：无限维系统 充分必要条件 分离 纯态 状态描述 正线性算子 量子力学 希尔伯特 

分 类 号：O232[理学—运筹学与控制论] TQ028.8[理学—数学]