2012/10/02 by Chris Heunen, Sergio Boixo
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.4204/eptcs.95.9
published as EPTCS 95, 2012, pp. 91-101 · In Proceedings QPL 2011, arXiv:1210.0298
arxiv created 2012/10/02 · arxiv updated 2012/10/03
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.