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Sci Rep. 2017 Dec 8;7(1):17274. doi: 10.1038/s41598-017-17585-7.

Detection and measure of genuine tripartite entanglement with partial transposition and realignment of density matrices.

Author information

1
College of the Science, China University of Petroleum, Qingdao, 266580, P. R. China.
2
College of the Science, China University of Petroleum, Qingdao, 266580, P. R. China. alabaila@163.com.
3
Department of Science, Zhijiang college, Zhejiang University of Technology, Hangzhou, 310024, P. R. China.
4
School of Mathematical Sciences, Capital Normal University, Beijing, 100048, P. R. China.
5
Max-Planck-Institute for Mathematics in the Sciences, Leipzig, 04103, Germany.

Abstract

It is challenging task to detect and measure genuine multipartite entanglement. We investigate the problem by considering the average based positive partial transposition(PPT) criterion and the realignment criterion. Sufficient conditions for detecting genuine tripartite entanglement are presented. We also derive lower bounds for the genuine tripartite entanglement concurrence with respect to the conditions. While the PPT criterion and the realignment criterion are powerful for detecting bipartite entanglement and for providing lower bounds of bipartite concurrences, our results give an effective operational way to detect and measure the genuine tripartite entanglement.

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