Separability criteria based on the realignment of density matrices and reduced density matrices

Shu-Qian Shen, Meng-Yuan Wang, Ming Li, and Shao-Ming Fei

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Submission date: 20. Jan. 2016
Pages: 12
published in: Physical review / A, 92 (2015) 4, art-no. 042332 
DOI number (of the published article): 10.1103/PhysRevA.92.042332
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Abstract:
By combining a parameterized Hermitian matrix, the realignment matrix of the bipartite density matrix ρ and the vectorization of its reduced density matrices, we present a family of separability criteria, which are stronger than the computable cross norm or realignment (CCNR) criterion. With linear contraction methods, the proposed criteria can be used to detect the multipartite entangled states that are biseparable under any bipartite partitions. Moreover, we show by examples that the presented multipartite separability criteria can be more efficient than the corresponding multipartite realignment criterion based on CCNR, multipartite correlation tensor criterion and multipartite covariance matrix criterion.