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Reflections upon separability and distillability

D. Bruss·J. I. Cirac·P. Horodecki·F. Hulpke·B. Kraus·M. Lewenstein·A. Sanpera
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Abstract

We present an abstract formulation of the so-called Innsbruck-Hannover programme that investigates quantum correlations and entanglement in terms of convex sets. We present a unified description of optimal decompositions of quantum states and the optimization of witness operators that detect whether a given state belongs to a given convex set. We illustrate the abstract formulation with several examples, and discuss relations between optimal entanglement witnesses and n-copy non-distillable states with non-positive partial transpose.

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D. Bruss, J. I. Cirac, P. Horodecki, F. Hulpke, B. Kraus, M. Lewenstein, A. Sanpera. 2001-10-12. Reflections upon separability and distillability. https://doi.org/10.1080/09500340110105975

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