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Geometry of quantum states: new construction of positive maps

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arxiv 0902.0885 v1 pith:CGSZ7RST submitted 2009-02-05 quant-ph

Dariusz Chruscinski , Andrzej Kossakowski This is my paper · ORCID
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keywords quantumclassconstructionentanglementfamilymapspositivealgebras
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We provide a new class of positive maps in matrix algebras. The construction is based on the family of balls living in the space of density matrices of n-level quantum system. This class generalizes the celebrated Choi map and provide a wide family of entanglement witnesses which define a basic tool for analyzing quantum entanglement.

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