Wednesday, February 1, 2012

1201.5995 (Gniewomir Sarbicki et al.)

A class of exposed indecomposable positive maps    [PDF]

Gniewomir Sarbicki, Dariusz Chruściński
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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