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Mapping cones and separable states

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Abstract

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.

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Acknowledgements

The author is indebted to Geir Dahl for helpful comments on dual cones.

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  1. Department of Mathematics, University of Oslo, 0316, Oslo, Norway

    Erling Størmer

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  1. Erling Størmer
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Correspondence to Erling Størmer.

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Størmer, E. Mapping cones and separable states. Positivity 22, 493–499 (2018). https://doi.org/10.1007/s11117-017-0523-8

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  • DOI: https://doi.org/10.1007/s11117-017-0523-8

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