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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Published in:Open systems & information dynamics 2007-09, Vol.14 (3), p.275-294
Main Authors: Chruściński, Dariusz, Kossakowski, Andrzej
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Language:English
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description 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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title On the Structure of Entanglement Witnesses and New Class of Positive Indecomposable Maps
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