Completely positive projections and biproducts
Category Theory
2015-01-13 v2 Quantum Physics
Abstract
The recently introduced CP*-construction unites quantum channels and classical systems, subsuming the earlier CPM-construction in categorical quantum mechanics. We compare this construction to two earlier attempts at solving this problem: freely adding biproducts to CPM, and freely splitting idempotents in CPM. The CP*-construction embeds the former, and embeds into the latter, but neither embedding is an equivalence in general.
Cite
@article{arxiv.1308.4557,
title = {Completely positive projections and biproducts},
author = {Chris Heunen and Aleks Kissinger and Peter Selinger},
journal= {arXiv preprint arXiv:1308.4557},
year = {2015}
}
Comments
In Proceedings QPL 2013, arXiv:1412.7917