Wasserstein distance between noncommutative dynamical systems
Operator Algebras
2024-11-05 v1 Mathematical Physics
math.MP
Optimization and Control
Abstract
We study a class of quadratic Wasserstein distances on spaces consisting of generalized dynamical systems on a von Neumann algebra. We emphasize how symmetry of such a Wasserstein distance arises, but also study the asymmetric case. This setup is illustrated in the context of reduced dynamics, and a number of simple examples are also presented.
Cite
@article{arxiv.2112.12532,
title = {Wasserstein distance between noncommutative dynamical systems},
author = {Rocco Duvenhage},
journal= {arXiv preprint arXiv:2112.12532},
year = {2024}
}
Comments
30 pages