# A characterization of von Neumann entropy using functors

Source: [A characterization of von Neumann entropy using functors](<https://www.sota2.com/research/paper/68fa45401e209131ce9170d8>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T05:12:10.318Z

Authors: K. Nakahira

Published: 2023-09-19T06:26:19.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2309.10353>)

[PDF](<https://arxiv.org/pdf/2309.10353.pdf>)