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Quantum detailed balance and duality
Dissertation (MSc (Physics))--University of Pretoria, 2025.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2025
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| _version_ | 1867613438253989888 |
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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 | © 2024 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 | Dissertation (MSc (Physics))--University of Pretoria, 2025. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/103201 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:36:08.960Z |
| 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:2263/103201 Quantum detailed balance and duality Duvenhage, Rocco keaganvdh@gmail.com Van den Heuvel, Keagan UCTD Sustainable Development Goals (SDGs) Quantum detailed balance Quantum channels Channel-state duality Von Neumann algebras Operator algebras Dissertation (MSc (Physics))--University of Pretoria, 2025. We develop quantum detailed balance on a finite-dimensional system in terms of elementary transitions, which are pure states on the composite space consisting of two copies of the system. This is in close analogy to detailed balance in classical mechanics described in terms of Markov chains. We show that this version of detailed balance may also be expressed in terms of quantum channels. acting on the states of the system by the Choi-Jamiolkowski duality. We then develop a more general setting of states and channels in a von Neumann algebraic framework and embed our theory of finite-dimensional elementary transition detailed balance into this framework. Lastly, we show that our version of quantum detailed balance is equivalent to the well-known standard quantum detailed balance with respect to a reversing operation in finite dimensions. Physics MSc (Physics) Unrestricted Faculty of Natural and Agricultural Sciences None 2025-07-07T12:30:46Z 2025-07-07T12:30:46Z 2025-09 2025 Dissertation * S2025 http://hdl.handle.net/2263/103201 https://doi.org/10.25403/UPresearchdata.29480738.v1 https://doi.org/10.25403/UPresearchdata.29480738 en © 2024 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) Quantum detailed balance Quantum channels Channel-state duality Von Neumann algebras Operator algebras Quantum detailed balance and duality |
| title | Quantum detailed balance and duality |
| title_full | Quantum detailed balance and duality |
| title_fullStr | Quantum detailed balance and duality |
| title_full_unstemmed | Quantum detailed balance and duality |
| title_short | Quantum detailed balance and duality |
| title_sort | quantum detailed balance and duality |
| topic | UCTD Sustainable Development Goals (SDGs) Quantum detailed balance Quantum channels Channel-state duality Von Neumann algebras Operator algebras |
| url | http://hdl.handle.net/2263/103201 https://doi.org/10.25403/UPresearchdata.29480738.v1 https://doi.org/10.25403/UPresearchdata.29480738 |