Optimization of entanglement witnesses

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

doi:10.1103/PhysRevA.62.052310

Optimization of entanglement witnesses

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

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

594 Scopus citations

Abstract

The study presented the optimization of an entanglement witness (EW), which allows the detection of entangled states. The necessary and sufficient conditions for an EW to be optimal were given. Nondecomposable witnesses (NDEW), which are those that detect partial transposed entangled states (PPTES), were analyzed. The construction and optimization were based on the use of edge PPTES. This method can be used for systematic construction of nondecomposable positive maps (PM).

Original language	English
Pages (from-to)	52310-52311
Number of pages	2
Journal	Physical Review A
Volume	62
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevA.62.052310
State	Published - Nov 2000
Externally published	Yes

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10.1103/PhysRevA.62.052310

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title = "Optimization of entanglement witnesses",

abstract = "The study presented the optimization of an entanglement witness (EW), which allows the detection of entangled states. The necessary and sufficient conditions for an EW to be optimal were given. Nondecomposable witnesses (NDEW), which are those that detect partial transposed entangled states (PPTES), were analyzed. The construction and optimization were based on the use of edge PPTES. This method can be used for systematic construction of nondecomposable positive maps (PM).",

author = "M. Lewenstein and B. Kraus and Cirac, {J. I.} and P. Horodecki",

year = "2000",

month = nov,

doi = "10.1103/PhysRevA.62.052310",

language = "English",

volume = "62",

pages = "52310--52311",

journal = "Physical Review A",

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publisher = "American Physical Society",

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T1 - Optimization of entanglement witnesses

AU - Lewenstein, M.

AU - Kraus, B.

AU - Cirac, J. I.

AU - Horodecki, P.

PY - 2000/11

Y1 - 2000/11

N2 - The study presented the optimization of an entanglement witness (EW), which allows the detection of entangled states. The necessary and sufficient conditions for an EW to be optimal were given. Nondecomposable witnesses (NDEW), which are those that detect partial transposed entangled states (PPTES), were analyzed. The construction and optimization were based on the use of edge PPTES. This method can be used for systematic construction of nondecomposable positive maps (PM).

AB - The study presented the optimization of an entanglement witness (EW), which allows the detection of entangled states. The necessary and sufficient conditions for an EW to be optimal were given. Nondecomposable witnesses (NDEW), which are those that detect partial transposed entangled states (PPTES), were analyzed. The construction and optimization were based on the use of edge PPTES. This method can be used for systematic construction of nondecomposable positive maps (PM).

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U2 - 10.1103/PhysRevA.62.052310

DO - 10.1103/PhysRevA.62.052310

M3 - Article

AN - SCOPUS:0141782139

SN - 1050-2947

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JO - Physical Review A

JF - Physical Review A

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Optimization of entanglement witnesses

Abstract

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