Extending quantum detailed balance through optimal transport

dc.contributor.advisorDuvenhage, Rocco
dc.contributor.emails.skosana@tuks.co.zaen_US
dc.contributor.postgraduateSkosana, Samuel
dc.date.accessioned2025-01-15T07:52:45Z
dc.date.available2025-01-15T07:52:45Z
dc.date.created2025-04
dc.date.issued2024-11
dc.descriptionThesis (PhD (Physics))--University of Pretoria, 2024.en_US
dc.description.abstractWe 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.en_US
dc.description.availabilityUnrestricteden_US
dc.description.degreePhD (Physics)en_US
dc.description.departmentPhysicsen_US
dc.description.facultyFaculty of Natural and Agricultural Sciencesen_US
dc.description.sdgSDG-04: Quality educationen_US
dc.description.sponsorshipDST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS)en_US
dc.identifier.citation*en_US
dc.identifier.doi10.25403/UPresearchdata.28060394en_US
dc.identifier.otherA2025en_US
dc.identifier.urihttp://hdl.handle.net/2263/100072
dc.language.isoenen_US
dc.publisherUniversity of Pretoria
dc.rights© 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.
dc.subjectUCTDen_US
dc.subjectSustainable Development Goals (SDGs)en_US
dc.subjectWasserstein distancesen_US
dc.subjectOptimal transporten_US
dc.subjectQuantum detailed balanceen_US
dc.subjectBimodulesen_US
dc.subjectTomita-Takesaki theoryen_US
dc.titleExtending quantum detailed balance through optimal transporten_US
dc.typeThesisen_US

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