Geometry of quantum states: new construction of positive maps

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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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Quantum Physics

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Phys. Lett. A 373 (2009) 2301

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