中国物理B ›› 2018, Vol. 27 ›› Issue (3): 30302-030302.doi: 10.1088/1674-1056/27/3/030302

• GENERAL • 上一篇    下一篇

Separability criteria based on Heisenberg-Weyl representation of density matrices

Jingmei Chang(常景美), Meiyu Cui(崔美钰), Tinggui Zhang(张廷桂), Shao-Ming Fei(费少明)   

  1. 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
  • 收稿日期:2017-10-11 修回日期:2017-12-16 出版日期:2018-03-05 发布日期:2018-03-05
  • 通讯作者: Shao-Ming Fei, Tinggui Zhang E-mail:feishm@mail.cnn.edu.cn;tinggui333@163.com
  • 基金资助:
    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).

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. 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
  • Received:2017-10-11 Revised:2017-12-16 Online:2018-03-05 Published:2018-03-05
  • Contact: Shao-Ming Fei, Tinggui Zhang E-mail:feishm@mail.cnn.edu.cn;tinggui333@163.com
  • Supported by:
    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).

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.

关键词: Heisenberg-Weyl observable basis, Bloch representation, separability criterion, multipartite quantum states

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.

Key words: Heisenberg-Weyl observable basis, Bloch representation, separability criterion, multipartite quantum states

中图分类号:  (Quantum information)

  • 03.67.-a
02.20.Hj (Classical groups) 03.65.-w (Quantum mechanics)