A characterization of von Neumann entropy using functors

K. Nakahira

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arXiv · 2309.10353

A characterization of von Neumann entropy using functors

K. Nakahira

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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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K. Nakahira. 2023-09-19. A characterization of von Neumann entropy using functors. https://arxiv.org/abs/2309.10353

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