A Continuity Theorem for Stinespring's Dilation
Quantum Physics
2007-10-15 v1 Mathematical Physics
math.MP
Operator Algebras
Abstract
We show a continuity theorem for Stinespring's dilation: two completely positive maps between arbitrary C*-algebras are close in cb-norm iff we can find corresponding dilations that are close in operator norm. The proof establishes the equivalence of the cb-norm distance and the Bures distance for completely positive maps. We briefly discuss applications to quantum information theory.
Cite
@article{arxiv.0710.2495,
title = {A Continuity Theorem for Stinespring's Dilation},
author = {Dennis Kretschmann and Dirk Schlingemann and Reinhard F. Werner},
journal= {arXiv preprint arXiv:0710.2495},
year = {2007}
}
Comments
18 pages, no figures