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Chin. Phys. B, 2018, Vol. 27(3): 030302    DOI: 10.1088/1674-1056/27/3/030302
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Separability criteria based on Heisenberg-Weyl representation of density matrices

Jingmei Chang(常景美)1, Meiyu Cui(崔美钰)1, Tinggui Zhang(张廷桂)1,2, Shao-Ming Fei(费少明)3,4
1 School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, China;
2 Hainan Center for Mathematical Research, Hainan Normal University, Haikou 571158, China;
3 School of Mathematical Sciences, Capital Normal University, Beijing 100048, China;
4 Max Planck Institute for Mathematics in the Sciences, Leipzig 04103, Germany
Abstract  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.
Keywords:  Heisenberg-Weyl observable basis      Bloch representation      separability criterion      multipartite quantum states  
Received:  11 October 2017      Revised:  16 December 2017      Accepted manuscript online: 
PACS:  03.67.-a (Quantum information)  
  02.20.Hj (Classical groups)  
  03.65.-w (Quantum mechanics)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11501153, 11661031, and 11675113) and the National Natural Science Foundation of Hainan Province, China (Grant No. 20161006).
Corresponding Authors:  Shao-Ming Fei, Tinggui Zhang     E-mail:  feishm@mail.cnn.edu.cn;tinggui333@163.com

Cite this article: 

Jingmei Chang(常景美), Meiyu Cui(崔美钰), Tinggui Zhang(张廷桂), Shao-Ming Fei(费少明) Separability criteria based on Heisenberg-Weyl representation of density matrices 2018 Chin. Phys. B 27 030302

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