Wasserstein distance between noncommutative dynamical systems
| dc.contributor.author | Duvenhage, Rocco de Villiers | |
| dc.contributor.email | rocco.duvenhage@up.ac.za | en_US |
| 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 |