Characterization of distillability of entanglement in terms of positive maps

Details Characterization of distillability of entanglement in terms of positive maps Characterization of distillability of entanglement in terms of positive maps

2004-03-09

arxiv.org/abs/quant-ph/0403073v3

Phys. Rev. A 71, 032332 (2005)

Physics

Quantum Physics

4 pages, revtex4. Published revised version, title changed, expanded discussion, main result unchanged

Scientific paper

10.1103/PhysRevA.71.032332

A necessary and sufficient condition for 1-distillability is formulated in terms of decomposable positive maps. As an application we provide insight into why all states violating the reduction criterion map are distillable and demonstrate how to construct such maps in a systematic way. We establish a connection between a number of existing results, which leads to an elementary proof for the characterisation of distillability in terms of 2-positive maps.

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