Separability criteria via some classes of measurements

作     者：Lu Liu Ting Gao FengLi Yan 

作者机构：College of Mathematics and Information Science Hebei Normal University Shijiazhuang 050024 China College of Physics Science and Information Engineering Hebei Normal University Shijiazhuang 050024 China 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2017年第60卷第10期

页      面：1-6页

核心收录：

学科分类：07[理学] 08[工学] 070201[理学-理论物理] 0835[工学-软件工程] 081202[工学-计算机软件与理论] 0702[理学-物理学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：the National Natural Science Foundation of China(Grant Nos 11371005,and 11475054) the Hebei Natural Science Foundation of China(Grant No A2016205145) 

主　　题：entangled states mutually unbiased measurements mutually unbiased bases general symmetric informationally complete POVMs 

摘      要：Mutually unbiased bases (MUBs) and symmetric informationally complete (SIC) positive operator-valued measurements (POVMs) are two related topics in quantum information theory. They are generalized to mutually unbiased measurements (MUMs) and general symmetric informationally complete (GSIC) measurements, respectively, that are both not necessarily rank 1. We study the quantum separability problem by using these measurements and present separability criteria for bipartite systems with arbitrary dimensions and multipartite systems of multi-level subsystems. These criteria are proved to be more effective than previous criteria especially when the dimensions of the subsystems are different. Furthermore, full quantum state tomography is not needed when these criteria are implemented in experiment.