English

Exposed positive maps: a sufficient condition

Quantum Physics 2012-03-05 v2 Mathematical Physics math.MP

Abstract

Exposed positive maps in matrix algebras define a dense subset of extremal maps. We provide a sufficient condition for a positive map to be exposed. This is an analog of a spanning property which guaranties that a positive map is optimal. We analyze a class of decomposable maps for which this condition is also necessary.

Keywords

Cite

@article{arxiv.1111.2012,
  title  = {Exposed positive maps: a sufficient condition},
  author = {Dariusz Chruściński and Gniewomir Sarbicki},
  journal= {arXiv preprint arXiv:1111.2012},
  year   = {2012}
}

Comments

10 pages; improved version

R2 v1 2026-06-21T19:32:58.254Z