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Main Author:	Duvenhage, Rocco
Format:	Preprint
Published:	2021
Subjects:	Operator Algebras Mathematical Physics Optimization and Control Primary: 49Q22. Secondary: 46L55, 81S22
Online Access:	https://arxiv.org/abs/2112.12532
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author	Duvenhage, Rocco
author_facet	Duvenhage, Rocco
contents	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.
format	Preprint
id	arxiv_https___arxiv_org_abs_2112_12532
institution	arXiv
publishDate	2021
record_format	arxiv
spellingShingle	Wasserstein distance between noncommutative dynamical systems Duvenhage, Rocco Operator Algebras Mathematical Physics Optimization and Control Primary: 49Q22. Secondary: 46L55, 81S22 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.
title	Wasserstein distance between noncommutative dynamical systems
topic	Operator Algebras Mathematical Physics Optimization and Control Primary: 49Q22. Secondary: 46L55, 81S22
url	https://arxiv.org/abs/2112.12532

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