- Abstract:
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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...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Publisher's Version
- Files:
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(pdf, 204.9KB)
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- Publisher copy:
- 10.4204/EPTCS.266.7
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- 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:
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2075-2180
- Pubs id:
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pubs:991890
- URN:
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uri:b8410b97-04fc-4981-8741-9f6dd9cb3d03
- UUID:
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uuid:b8410b97-04fc-4981-8741-9f6dd9cb3d03
- Local pid:
- pubs:991890
- Copyright holder:
- Coecke et al.
- Copyright date:
- 2018
- Notes:
-
Copyright © 2017 B. Coecke, J. Selby & S. Tull
This work is licensed under the Creative Commons Attribution License.
Conference item
Two roads to classicality
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