Separability criteria based on Heisenberg-Weyl representation of density matrices

doi:10.1088/1674-1056/27/3/030302

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

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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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