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Separability criteria based on Heisenberg–Weyl representation of density matrices

Separability criteria based on Heisenberg–Weyl representation of density matrices
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摘要 Separability is an important problem in theory of quantum entanglement. By using the Bloch representation of quantum states in terms of the Heisenberg-Weyl observable basis, we present a new separability criterion for bipartite quantum systems. It is shown that this criterion can be better than the previous ones in detecting entanglement. The results are generalized to multipartite quantum states. Separability is an important problem in theory of quantum entanglement. By using the Bloch representation of quantum states in terms of the Heisenberg-Weyl observable basis, we present a new separability criterion for bipartite quantum systems. It is shown that this criterion can be better than the previous ones in detecting entanglement. The results are generalized to multipartite quantum states.
作者 Jingmei Changl Meiyu Cui Tinggui Zhang Shao-Ming Fei 常景美;崔美钰;张廷桂;费少明(School of Mathematics and Statistics,Hainan Normal University,Haikou 571158,China;Hainan Center for Mathematical Research,Halnan Normal University,Haikou 571158,China;School of Mathematical Sciences,Capital Normal University,Beijing 100048,China;Max Planck Institute for Mathematics in the Sciences,Leipzig 04103,Germany)
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第3期132-136,共5页 中国物理B(英文版)
基金 Project supported by the National Natural Science Foundation of China(Grant Nos.11501153,11661031,and 11675113) the National Natural Science Foundation of Hainan Province,China(Grant No.20161006)
关键词 Heisenberg-Weyl observable basis Bloch representation separability criterion multipartite quan- tuna states Heisenberg-Weyl observable basis, Bloch representation, separability criterion, multipartite quan- tuna states
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