The Category-Theoretic Arithmetic of Information

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dc.creatorAllen, Benjamin
dc.date2008-03-25
dc.date2008-07-21
dc.date.accessioned2026-07-07T09:51:31Z
dc.date.available2026-07-07T09:51:31Z
dc.descriptionWe highlight the underlying category-theoretic structure of measures of information flow. We present an axiomatic framework in which communication systems are represented as morphisms, and information flow is characterized by its behavior when communication systems are combined. Our framework includes a variety of discrete, continuous, and, conjecturally, quantum information measures. It also includes some familiar mathematical constructs not normally associated with information, such as vector space dimension. We discuss these examples and prove basic results from the axioms.
dc.descriptionv3: Changed presentation and incorporated reviewers' suggestions
dc.identifierhttps://arxiv.org/abs/0803.3608
dc.identifierhttp://arxiv.org/abs/0803.3608
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165276
dc.subjectCategory Theory
dc.subjectInformation Theory
dc.subject18A99; 94A17
dc.titleThe Category-Theoretic Arithmetic of Information
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