Geometry of quantum states: new construction of positive maps

Details Geometry of quantum states: new construction of positive maps Geometry of quantum states: new construction of positive maps

2009-02-05

arxiv.org/abs/0902.0885v1

Phys. Lett. A 373 (2009) 2301

Physics

Quantum Physics

11 pages

Scientific paper

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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