0403073v3

related topics
{state, states, entangled}
{states, state, optimal}
{let, theorem, proof}
{vol, operators, histories}
{observables, space, algebra}
{entanglement, phys, rev}
{alice, bob, state}

Characterization of distillability of entanglement in terms of positive maps

Lieven Clarisse

abstract: 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.

oai_identifier:
oai:arXiv.org:quant-ph/0403073
categories:
quant-ph
comments:
4 pages, revtex4. Published revised version, title changed, expanded discussion, main result unchanged
doi:
10.1103/PhysRevA.71.032332
arxiv_id:
quant-ph/0403073
journal_ref:
Phys. Rev. A 71, 032332 (2005)
created:
2004-03-09
updated:
2005-03-27

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