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Separability criteria and bounds for entanglement measures

Heinz-Peter Breuer

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Employing a recently proposed separability criterion we develop analytical lower bounds for the concurrence and for the entanglement of formation of bipartite quantum systems. The separability criterion is based on a nondecomposable positive map which operates on state spaces with even dimension, N ≥ 4, and leads to a class of nondecomposable optimal entanglement witnesses. It is shown that the bounds derived here complement and improve the existing bounds obtained from the criterion of positive partial transposition and from the realignment criterion.


PACS

03.67.Mn Entanglement measures, witnesses, and other characterizations

03.65.Ta Foundations of quantum mechanics; measurement theory

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

MSC

81P15 Quantum measurement theory

81Qxx General mathematical topics and methods in quantum theory

Subjects

Computational physics

Quantum information and quantum mechanics

Dates

Issue 38 (22 September 2006)

Received 22 June 2006, in final form 9 August 2006

Published 5 September 2006



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