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Extending quantum detailed balance through optimal transport
Thesis (PhD (Physics))--University of Pretoria, 2024.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2025
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| _version_ | 1867613655947804672 |
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| access_status_str | Open Access |
| author2 | Duvenhage, Rocco |
| author_browse | Duvenhage, Rocco |
| author_facet | Duvenhage, Rocco |
| collection | Thesis |
| dc_rights_str_mv | © 2023 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. |
| description | Thesis (PhD (Physics))--University of Pretoria, 2024. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/100072 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:39:35.842Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/100072 Extending quantum detailed balance through optimal transport Duvenhage, Rocco s.skosana@tuks.co.za Skosana, Samuel UCTD Sustainable Development Goals (SDGs) Wasserstein distances Optimal transport Quantum detailed balance Bimodules Tomita-Takesaki theory Thesis (PhD (Physics))--University of Pretoria, 2024. We develop a general framework for studying classes of quantum dynamical systems that are close to and structurally similar to other systems satisfying specified properties, in particular, quantum detailed balance conditions. This is done in terms of optimal transport plans and Wasserstein distances between systems on possibly different observable algebras. Basic metric properties of Wasserstein distances are proven. As a possible application of our framework to non-equilibrium statistical mechanics, bounds on deviations from detailed balance are derived. DST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS) Physics PhD (Physics) Unrestricted Faculty of Natural and Agricultural Sciences SDG-04: Quality education 2025-01-15T07:52:45Z 2025-01-15T07:52:45Z 2025-04 2024-11 Thesis * A2025 http://hdl.handle.net/2263/100072 10.25403/UPresearchdata.28060394 en © 2023 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria |
| spellingShingle | UCTD Sustainable Development Goals (SDGs) Wasserstein distances Optimal transport Quantum detailed balance Bimodules Tomita-Takesaki theory Extending quantum detailed balance through optimal transport |
| title | Extending quantum detailed balance through optimal transport |
| title_full | Extending quantum detailed balance through optimal transport |
| title_fullStr | Extending quantum detailed balance through optimal transport |
| title_full_unstemmed | Extending quantum detailed balance through optimal transport |
| title_short | Extending quantum detailed balance through optimal transport |
| title_sort | extending quantum detailed balance through optimal transport |
| topic | UCTD Sustainable Development Goals (SDGs) Wasserstein distances Optimal transport Quantum detailed balance Bimodules Tomita-Takesaki theory |
| url | http://hdl.handle.net/2263/100072 |