Published June 2019
| Submitted
Journal Article
Open
Gamma spaces and information
- Creators
-
Marcolli, Matilde
Chicago
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Abstract
We investigate the role of Segal's Gamma-spaces in the context of classical and quantum information, based on categories of finite probabilities with stochastic maps and density matrices with quantum channels. The information loss functional extends to the setting of probabilistic Gamma-spaces considered here. The Segal construction of connective spectra from Gamma-spaces can be used in this setting to obtain spectra associated to certain categories of gapped systems.
Additional Information
© 2019 Elsevier B.V. Received 3 September 2018, Revised 5 February 2019, Accepted 5 February 2019, Available online 21 February 2019. The author is extremely grateful to Tobias Fritz for many useful discussions and for providing many comments and suggestions. She also thanks Paolo Aluffi, Tom Leinster, and Jack Morava for helpful comments. The author is partially supported by NSF grant DMS-1707882, and by NSERC Discovery Grant RGPIN-2018-04937 and Accelerator Supplement grant RGPAS-2018-522593, and by the Perimeter Institute for Theoretical Physics.Attached Files
Submitted - 1807.05314.pdf
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Additional details
- Eprint ID
- 93186
- Resolver ID
- CaltechAUTHORS:20190222-112740050
- NSF
- DMS-1707882
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- RGPIN-2018-04937
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- RGPAS-2018-522593
- Perimeter Institute for Theoretical Physics
- Created
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2019-02-25Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field