Reflections upon separability and distillability

Details Reflections upon separability and distillability Reflections upon separability and distillability

2001-10-12

arxiv.org/abs/quant-ph/0110081v1

J. Mod. Opt. 49, 1399-1418 (2002)

Physics

Quantum Physics

12 pages, 7 figures, proceedings of the ESF QIT Conference Gdansk, July 2001, submitted to special issue of J. Mod. Opt

Scientific paper

10.1080/09500340110105975

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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