Monday, March 5, 2012

1111.2012 (Dariusz Chruściński et al.)

Exposed positive maps: a sufficient condition    [PDF]

Dariusz Chruściński, Gniewomir Sarbicki
Exposed positive maps in matrix algebras define a dense subset of extremal maps. We provide a sufficient condition for a positive map to be exposed. This is an analog of a spanning property which guaranties that a positive map is optimal. We analyze a class of decomposable maps for which this condition is also necessary.
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