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Generalized Choi states and 2-distillability of quantum states

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We investigate the distillability of bipartite quantum states in terms of positive and completely positive maps. We construct the so-called generalized Choi states and show that it is distillable when… Click to show full abstract

We investigate the distillability of bipartite quantum states in terms of positive and completely positive maps. We construct the so-called generalized Choi states and show that it is distillable when it has negative partial transpose. We convert the distillability problem of 2-copy $$n\times n$$n×n Werner states into the determination of the positivity of an Hermitian matrix. We obtain several sufficient conditions by which the positivity holds. Further, we investigate the case $$n=3$$n=3 by the classification of $$2\times 3\times 3$$2×3×3 pure states.

Keywords: distillability quantum; states distillability; generalized choi; quantum states; choi states

Journal Title: Quantum Information Processing
Year Published: 2018

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