Wasserstein distance between noncommutative dynamical systems
arXiv:2112.12532 · doi:10.1016/j.jmaa.2023.127353
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.
arXiv comment30 pages
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