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January 2008, to be published in Physical Review A
Quantum states with strong positive partial transpose
We construct a large class of bipartite $M \ot N$ quantum states which defines a proper subset of states with positive partial transposes (PPT). Any state from this class is PPT but the positivity of its partial transposition is recognized with respect to canonical factorization of the original density operator. We propose to call elements from this class states with strong positive partial transposes (SPPT). We conjecture that all SPPT states are separable. © 2008 The American Physical Society.
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