Mapping cones and separable states
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We study mapping cones and their dual cones of positive maps of the \(n\times n\) matrices into itself. For a natural class of cones there is a close relationship between maps in the cone, super-positive maps, and separable states. In particular the composition of a map from the cone with a map in the dual cone is super-positive, and so the natural state it defines is separable.
KeywordsPositive maps Mapping cones Separable states
Mathematics Subject Classification46L60 46L99 15A04
The author is indebted to Geir Dahl for helpful comments on dual cones.
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