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Two roads to classicality

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 prov...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's Version

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Publisher copy:
10.4204/EPTCS.266.7

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Computer Science
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Computer Science
Role:
Author
Publisher:
Electronic Proceedings in Theoretical Computer Science Publisher's website
Pages:
104–118
Publication date:
2018-02-27
Acceptance date:
2017-05-29
DOI:
ISSN:
2075-2180
Pubs id:
pubs:991890
URN:
uri:b8410b97-04fc-4981-8741-9f6dd9cb3d03
UUID:
uuid:b8410b97-04fc-4981-8741-9f6dd9cb3d03
Local pid:
pubs:991890

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