English

Extremality conditions for generalized channels

Quantum Physics 2015-06-04 v1

Abstract

A generalized channel is a completely positive map that preserves trace on a given subspace. We find conditions under which a generalized channel with respect to a positively generated subspace J is an extreme point in the set of all such generalized channels. As a special case, this yields extremality conditions for quantum protocols. In particular, we obtain new extremality conditions for quantum 1-testers with 2 outcomes, which correspond to yes/no measurements on the set of quantum channels.

Keywords

Cite

@article{arxiv.1204.2752,
  title  = {Extremality conditions for generalized channels},
  author = {Anna Jencova},
  journal= {arXiv preprint arXiv:1204.2752},
  year   = {2015}
}

Comments

19 pages, 3 figures

R2 v1 2026-06-21T20:48:35.656Z