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Distillability, Bell inequalities and multiparticle bound entanglement

A. Acin
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Abstract

We study the relation between violation of Bell inequalities and distillability properties of quantum states. Recently, Dür has shown that there are some multiparticle bound entangled states, non-separable and non-distillable, that violate a Bell inequality. We prove that for all the states violating this inequality there exist at least one splitting of the parties into two groups such that some pure-state entanglement can be distilled, obtaining a connection between Bell inequalities and bipartite distillable entanglement.

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A. Acin. 2001-08-07. Distillability, Bell inequalities and multiparticle bound entanglement. https://doi.org/10.1103/physrevlett.88.027901

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