A completely positive map associated with a positive map (1009.5809v1)

Published 29 Sep 2010 in math.OA and quant-ph

Abstract: We show that each positive map from B(K) to B(H) with K and H finite dimensional Hilbert spaces is a scalar multiple of a map of the form $Tr - \psi$ with $\psi$ completely positive. This is used to give necessary and sufficient conditions for maps to be C-positive for a large class of mapping cones; in particular we apply the results to k-positive maps.

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Authors (1)

Erling Størmer

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