A class of exposed indecomposable positive maps

Details A class of exposed indecomposable positive maps A class of exposed indecomposable positive maps

2012-01-28

arxiv.org/abs/1201.5995v1

Physics

Quantum Physics

11 pages

Scientific paper

Exposed positive maps in matrix algebras define a dense subset of extremal maps. We provide a class of indecomposable positive maps in the algebra of 2n x 2n complex matrices with n > 1. It is shown that for n \leq 6 these maps are exposed and it is conjectured that this property holds for all n > 1. Such maps define the strongest tool in entanglement theory to discriminate between separable and entangled states.

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