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arXiv · 0902.0885

Geometry of quantum states: new construction of positive maps

Dariusz Chruscinski·Andrzej Kossakowski
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Abstract

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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Dariusz Chruscinski, Andrzej Kossakowski. 2009-02-05. Geometry of quantum states: new construction of positive maps. https://doi.org/10.1016/j.physleta.2009.04.068

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