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

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 impor...

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Bibliographic Details
Published in:Open systems & information dynamics 2007-09, Vol.14 (3), p.275-294
Main Authors: Chruściński, Dariusz, Kossakowski, Andrzej
Format: Article
Language:English
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Summary: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.
ISSN:1230-1612
1793-7191
DOI:10.1007/s11080-007-9052-4