Two Roads to Classicality
Quantum Physics
2018-03-05 v2
Abstract
Mixing and decoherence are both manifestations of classicality within quantum theory, each of which admit a very general category-theoretic construction. We show under which conditions these two 'roads to classicality' coincide. This is indeed the case for (finite-dimensional) quantum theory, where each construction yields the category of C*-algebras and completely positive maps. We present counterexamples where the property fails which includes relational and modal theories. Finally, we provide a new interpretation for our category-theoretic generalisation of decoherence in terms of 'leaking information'.
Cite
@article{arxiv.1701.07400,
title = {Two Roads to Classicality},
author = {Bob Coecke and John Selby and Sean Tull},
journal= {arXiv preprint arXiv:1701.07400},
year = {2018}
}
Comments
In Proceedings QPL 2017, arXiv:1802.09737