Operational extreme points of unital completely positive maps
Operator Algebras
2016-02-12 v2
Abstract
Two notions for linear maps (operational convex combinations and operational exetreme points) are introduced. The set S of ucp maps on the n times n matrix algebra is the operational convex combinations of the identity map. An operational extreme point of S is an extreme point of S but the converse does not hold, and every automorphism is an operational extreme point of S.
Keywords
Cite
@article{arxiv.1602.00365,
title = {Operational extreme points of unital completely positive maps},
author = {Marie Choda},
journal= {arXiv preprint arXiv:1602.00365},
year = {2016}
}
Comments
7 pages