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arXiv · 2112.12532

Wasserstein distance between noncommutative dynamical systems

Rocco Duvenhage
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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.

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Rocco Duvenhage. 2021-12-22. Wasserstein distance between noncommutative dynamical systems. https://doi.org/10.1016/j.jmaa.2023.127353

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