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Positive finite rank elementary operators and characterizing entanglement of states (1008.3682v2)
Published 22 Aug 2010 in quant-ph and math.OA
Abstract: In this paper, a class of indecomposable positive finite rank elementary operators of order $(n,n)$ are constructed. This allows us to give a simple necessary and sufficient criterion for separability of pure states in bipartite systems of any dimension in terms of positive elementary operators of order $(2,2)$ and get some new mixed entangled states that can not be detected by the positive partial transpose (PPT) criterion and the realignment criterion.