A characterization of von Neumann entropy using functors
Quantum Physics
2023-09-20 v1
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.
Keywords
Cite
@article{arxiv.2309.10353,
title = {A characterization of von Neumann entropy using functors},
author = {K. Nakahira},
journal= {arXiv preprint arXiv:2309.10353},
year = {2023}
}