Construction of Bound Entangled States Based on Permutation Operators

Hui Zhao, Sha Gao, Naihuan Jing, and Shao-Ming Fei

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Submission date: 11. Feb. 2016
Pages: 12
published in: Quantum information processing, 15 (2016) 4, p. 1529-1538 
DOI number (of the published article): 10.1007/s11128-015-1218-3
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Abstract:
We present a construction of new bound entangled states from given bound entangled states for arbitrary dimensional bipartite systems. One way to construct bound entangled states is to show that these states are PPT (positive partial transpose) and violate the range criterion at the same time. By applying certain operators to given bound entangled states or to one of the subsystems of the given bound entangled states, we obtain a set of new states which are both PPT and violate the range criterion. We show that the derived bound entangled states are not local unitary equivalent to the original bound entangled states by detail examples.