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arXiv:quant-ph/0606211 · Open Systems & Information Dynamics

On the Structure of Entanglement Witnesses and New Class of Positive Indecomposable Maps

Dariusz Chruściński, Andrzej Kossakowski

Published Sep 1, 2007• 80 citations
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Abstract

We construct a new class of positive indecomposable maps in the algebra of d × d complex matrices. Each map is uniquely characterized by a cyclic bistochastic matrix. This class generalizes Choi map for d = 3. It provides a new reach family of indecomposable entanglement witnesses which define important tool for investigating quantum entanglement.

DOI
10.1007/s11080-007-9052-4

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We construct a new class of positive indecomposable maps in the algebra of d × d complex matrices. Each map is uniquely characterized by a cyclic bistochastic matrix. This class generalizes Choi map for d = 3. It provides a new reach family of indecomposable entanglement witnesses which define important tool for investigating quantum entanglement.
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