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Bound entanglement and continuous variables

Pawel Horodecki·Maciej Lewenstein
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Abstract

We introduce the definition of generic bound entanglement for the case of continuous variables. We provide some examples of bound entangled states for that case, and discuss their physical sense in the context of quantum optics. We rise the question of whether the entanglement of these states is generic. As a byproduct we obtain a new many parameter family of bound entangled states with positive partial transpose. We also point out that the ``entanglement witnesses'' and positive maps revealing the corresponding bound entanglement can be easily constructed.

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Pawel Horodecki, Maciej Lewenstein. 2000-07-19. Bound entanglement and continuous variables. https://doi.org/10.1103/physrevlett.85.2657

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