Wasserstein distance between noncommutative dynamical systems

Duvenhage, Rocco de Villiers

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dc.contributor.author	Duvenhage, Rocco de Villiers
dc.date.accessioned	2024-03-27T05:04:33Z
dc.date.available	2024-03-27T05:04:33Z
dc.date.issued	2023-11
dc.description.abstract	We introduce and 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.	en_US
dc.description.department	Physics	en_US
dc.description.librarian	am2024	en_US
dc.description.sdg	None	en_US
dc.description.uri	http://www.elsevier.com/locate/jmaa	en_US
dc.identifier.citation	Duvenhage, R. 2023, 'Wasserstein distance between noncommutative dynamical systems', Journal of Mathematical Analysis and Applications, vol. 527, art. 127353, pp. 1-26. https://DOI.org/10.1016/j.jmaa.2023.127353.	en_US
dc.identifier.issn	0022-247X
dc.identifier.other	10.1016/j.jmaa.2023.127353
dc.identifier.uri	http://hdl.handle.net/2263/95367
dc.language.iso	en	en_US
dc.publisher	Elsevier	en_US
dc.rights	© 2023 The Author(s). This is an open access article under the CC BY-NC-ND license.	en_US
dc.subject	Optimal transport	en_US
dc.subject	Wasserstein distance von	en_US
dc.subject	Wasserstein distance	en_US
dc.subject	Von Neumann algebras	en_US
dc.subject	States	en_US
dc.subject	Dynamical systems	en_US
dc.subject	Open systems	en_US
dc.title	Wasserstein distance between noncommutative dynamical systems	en_US
dc.type	Article	en_US