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

Ming Li, Jing Wang, Shu-Qian Shen, Zhi-Hua Chen, and Shao-Ming Fei

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Submission date: 16. Jan. 2018
Pages: 12
published in: Scientific Reports, 7 (2017), art-no. 17274 
DOI number (of the published article): 10.1038/s41598-017-17585-7
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Abstract:
It is a computationally hard task to certify genuine multipartite entanglement (GME). We investigate the relation between the norms of the correlation vectors and the detection of GME for tripartite quantum systems. A sufficient condition for GME and an effective lower bound for the GME concurrence are derived. Several examples are considered to show the effectiveness of the criterion and the lower bound of GME concurrence.