Bob Coecke (University of Oxford) |
John Selby (Imperial College London) |
Sean Tull (University of Oxford) |
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'. |
ArXived at: https://dx.doi.org/10.4204/EPTCS.266.7 | bibtex | |
Comments and questions to: eptcs@eptcs.org |
For website issues: webmaster@eptcs.org |