A sufficient and necessary criterion for separability of bipartite quantum states

doi:10.1088/1674-1056/23/8/080302

Abstract A sufficient and necessary criterion for separability of bipartite quantum states is presented. We construct a class of mixed states in 2

k quantum systems and in 3

k quantum systems, respectively and show that these states are separable if and only if they are positive partial transpositions.

Keywords: positive partial transposition separability

Received: 16 December 2013
Revised: 12 February 2014
Accepted manuscript online:

PACS:	03.67.-a	(Quantum information)
	03.65.Ud	(Entanglement and quantum nonlocality)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11101017 and 11275131), Beijing Natural Science Foundation Program, and the Scientific Research Key Program of Beijing Municipal Commission of Education (Grant No. KZ201210028032), and the Importation and Development of High-Caliber Talents Project of Beijing Municipal Institutions (Grant No. CIT&TCD201404067).

Corresponding Authors: Zhao Hui
E-mail: zhaohui@bjut.edu.cn

Cite this article:

Zhao Hui (赵慧), Yu Xin-Yu (于欣玉) A sufficient and necessary criterion for separability of bipartite quantum states 2014 Chin. Phys. B 23 080302

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