English

Mapping cones and separable states

Operator Algebras 2017-03-23 v1 Quantum Physics

Abstract

We study mapping cones and their dual cones of positive maps of the n by 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.

Keywords

Cite

@article{arxiv.1703.07586,
  title  = {Mapping cones and separable states},
  author = {Erling Størmer},
  journal= {arXiv preprint arXiv:1703.07586},
  year   = {2017}
}

Comments

8 pages

R2 v1 2026-06-22T18:53:35.037Z