A completely positive map associated with a positive map
Operator Algebras
2010-09-30 v1 Quantum Physics
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 with 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.
Keywords
Cite
@article{arxiv.1009.5809,
title = {A completely positive map associated with a positive map},
author = {Erling Størmer},
journal= {arXiv preprint arXiv:1009.5809},
year = {2010}
}