Detecting high-dimensional multipartite entanglement via some classes of measurements  

作　　者：刘璐 高亭 闫凤利 

机构地区：[1]College of Mathematics and Information Science, Hebei Normal University [2]College of Physics Science and Information Engineering, Hebei Normal University

出　　处：《Chinese Physics B》2018年第2期249-254,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.11371005 and 11475054);the Natural Science Foundation of Hebei Province of China(Grant No.A2016205145)

摘　　要：Mutually unbiased bases, mutually unbiased measurements and general symmetric informationally complete measure- ments are three related concepts in quantum information theory. We investigate multipartite systems using these notions and present some criteria detecting entanglement of arbitrary high dimensional multi-qudit systems and multipartite sys- tems of subsystems with different dimensions. It is proved that these criteria can detect the k-nonseparability （k is even） of multipartite qudit systems and arbitrary high dimensional multipartite systems of m subsystems with different dimensions. We show that they are more efficient and wider of application range than the previous ones. They provide experimental implementation in detecting entanglement without full quantum state tomography.Mutually unbiased bases, mutually unbiased measurements and general symmetric informationally complete measure- ments are three related concepts in quantum information theory. We investigate multipartite systems using these notions and present some criteria detecting entanglement of arbitrary high dimensional multi-qudit systems and multipartite sys- tems of subsystems with different dimensions. It is proved that these criteria can detect the k-nonseparability （k is even） of multipartite qudit systems and arbitrary high dimensional multipartite systems of m subsystems with different dimensions. We show that they are more efficient and wider of application range than the previous ones. They provide experimental implementation in detecting entanglement without full quantum state tomography.

关 键 词：detection of entanglement multipartite quantum states mutually unbiased bases mutually unbi-ased measurements general symmetric informationally complete measurements 

分 类 号：O413[理学—理论物理]