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arxiv: 1111.2012 · v2 · pith:YLCWZYYPnew · submitted 2011-11-08 · 🪐 quant-ph · math-ph· math.MP

Exposed positive maps: a sufficient condition

classification 🪐 quant-ph math-phmath.MP
keywords mapspositiveconditionexposedsufficientalgebrasanaloganalyze
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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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