4.6 Article

A class of exposed indecomposable positive maps

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IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/46/1/015306

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  1. research fellowship within the project Enhancing Educational Potential of Nicolaus Copernicus University in the Disciplines of Mathematical and Natural Sciences [POKL.04.01.01-00-081/10]
  2. National Science Center [DEC-2011/03/B/ST2/00136]

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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 >= 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.

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