A characterization of von Neumann entropy using functors

• URL: http://arxiv.org/abs/2309.10353v1
• Date: Tue, 19 Sep 2023 06:26:19 GMT
• Title: A characterization of von Neumann entropy using functors
• Authors: K. Nakahira
• Abstract summary: We propose a method for characterizing von Neumann entropy by extending their results to quantum systems. In this paper we consider a functor from a certain category to the monoid of non-negative real numbers with addition as a map from measure-preserving functions to non-negative real numbers.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Baez, Fritz, and Leinster derived a method for characterizing Shannon entropy in classical systems. In this method, they considered a functor from a certain category to the monoid of non-negative real numbers with addition as a map from measure-preserving functions to non-negative real numbers, and derived Shannon entropy by imposing several simple conditions. We propose a method for characterizing von Neumann entropy by extending their results to quantum systems.

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