Completely positive classical structures and sequentializable quantum protocols
Quantum Physics
2012-10-03 v1
Abstract
We study classical structures in various categories of completely positive morphisms: on sets and relations, on cobordisms, on a free dagger compact category, and on Hilbert spaces. As an application, we prove that quantum maps with commuting Kraus operators can be sequentialized. Hence such protocols are precisely as robust under general dephasing noise when entangled as when sequential.
Cite
@article{arxiv.1210.0616,
title = {Completely positive classical structures and sequentializable quantum protocols},
author = {Chris Heunen and Sergio Boixo},
journal= {arXiv preprint arXiv:1210.0616},
year = {2012}
}
Comments
In Proceedings QPL 2011, arXiv:1210.0298