A class of exposed indecomposable positive maps

Author: Sarbicki Gniewomir   Chruściński Dariusz  

Publisher: IOP Publishing

ISSN: 1751-8121

Source: Journal of Physics A: Mathematical and Theoretical, Vol.46, Iss.1, 2013-01, pp. : 15306-15320

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Abstract

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 × 2n complex matrices with n 2. It is shown that these maps are exposed and hence define the strongest tool in entanglement theory to discriminate between separable and entangled states.