A minimal completion theorem and almost everywhere equivalence for Completely Positive maps
Operator Algebras
2024-05-28 v2 Quantum Physics
Abstract
A problem of completing a linear map on C*-algebras to a completely positive map is analyzed. It is shown that whenever such a completion is feasible there exists a unique minimal completion. This theorem is used to show that under some very general conditions a completely positive map almost everywhere equivalent to a quasi-pure map is actually equal to that map.
Keywords
Cite
@article{arxiv.2306.15952,
title = {A minimal completion theorem and almost everywhere equivalence for Completely Positive maps},
author = {B. V. Rajarama Bhat and Arghya Chongdar},
journal= {arXiv preprint arXiv:2306.15952},
year = {2024}
}
Comments
16 pages; Minors corrections, added references [5] and [7]. Accepted for publication in the Proceedings of the AMS