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Geometry of information: Classical and quantum aspects

Combe, Noémie and Manin, Yuri I. and Marcolli, Matilde (2021) Geometry of information: Classical and quantum aspects. Theoretical Computer Science . ISSN 0304-3975. doi:10.1016/j.tcs.2021.10.020. (In Press) https://resolver.caltech.edu/CaltechAUTHORS:20210825-184625013

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Abstract

In this article, we describe various aspects of categorification of the structures, appearing in information theory. These aspects include probabilistic models both of classical and quantum physics, emergence of F–manifolds, and motivic enrichments.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/j.tcs.2021.10.020DOIArticle
https://arxiv.org/abs/2107.08006arXivDiscussion Paper
Additional Information:© 2021 Published by Elsevier B.V. Received 27 April 2021, Revised 17 August 2021, Accepted 19 October 2021, Available online 27 October 2021. N. C. Combe acknowledges support from the Minerva Fast track grant from the Max Planck Institute for Mathematics in the Sciences, in Leipzig. M. Marcolli acknowledges support from NSF grants DMS-1707882 and DMS-2104330. The authors of this paper thank the reviewer for suggesting interesting questions related to this work.
Funders:
Funding AgencyGrant Number
Max Planck Institute for Mathematics in the SciencesUNSPECIFIED
NSFDMS-1707882
NSFDMS-2104330
Classification Code:2020 Mathematics Subject Classification. Primary: 14G10; 18F30. Secondary: 55R99
DOI:10.1016/j.tcs.2021.10.020
Record Number:CaltechAUTHORS:20210825-184625013
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210825-184625013
Official Citation:Noémie Combe, Yuri I. Manin, Matilde Marcolli, Geometry of information: Classical and quantum aspects, Theoretical Computer Science, 2021, ISSN 0304-3975, https://doi.org/10.1016/j.tcs.2021.10.020.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:110557
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:25 Aug 2021 21:59
Last Modified:29 Oct 2021 21:01

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