Characterization of separable states and entanglement witnesses

M. Lewenstein; B. Kraus; P. Horodecki; J. I. Cirac

Characterization of separable states and entanglement witnesses

M. Lewenstein
, B. Kraus
, P. Horodecki
, J. I. Cirac

Gottfried Wilhelm Leibniz Universität Hannover
University of Innsbruck
Gdansk University of Technology

Research output: Contribution to journal › Article › peer-review

163 Scopus citations

Abstract

A canonical form for a nondecomposable entanglement witnesses (EW) and a characterization of separable states was presented. Mixed states in bipartite quantum systems were considered and the canonical form was presented in terms of a convex combination of a seperable state and edge state. Entanglement witnesses for the edge states were also constructed to provide a canonical form of nondecomposable entanglement witnesses and the positive maps (PM). A nontrivial condition for non-decomposable-entanglement witnesses (ND-EW) and positive maps (PM) was studied by numerical simulation.

Original language	English
Article number	044304
Pages (from-to)	443041-443044
Number of pages	4
Journal	Physical Review A
Volume	63
Issue number	4
State	Published - Apr 2001
Externally published	Yes

Cite this

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AU - Horodecki, P.

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AB - A canonical form for a nondecomposable entanglement witnesses (EW) and a characterization of separable states was presented. Mixed states in bipartite quantum systems were considered and the canonical form was presented in terms of a convex combination of a seperable state and edge state. Entanglement witnesses for the edge states were also constructed to provide a canonical form of nondecomposable entanglement witnesses and the positive maps (PM). A nontrivial condition for non-decomposable-entanglement witnesses (ND-EW) and positive maps (PM) was studied by numerical simulation.

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JO - Physical Review A

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ER -

Characterization of separable states and entanglement witnesses

Abstract

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