Quantum Wasserstein distance of order 1 between channels

dc.contributor.authorDuvenhage, Rocco de Villiers
dc.contributor.authorMapaya, Mathumo
dc.contributor.emailrocco.duvenhage@up.ac.zaen_US
dc.date.accessioned2023-11-29T10:51:09Z
dc.date.issued2023-06
dc.description.abstractWe set up a general theory leading to a quantum Wasserstein distance of order 1 between channels in an operator algebraic framework. This gives a metric on the set of channels from one composite system to another, which is deeply connected to reductions of the channels. The additivity and stability properties of this metric are studied.en_US
dc.description.departmentPhysicsen_US
dc.description.embargo2024-06-30
dc.description.librarianhj2023en_US
dc.description.sdgNoneen_US
dc.description.sponsorshipTthe National Research Foundation of South Africa.en_US
dc.description.urihttps://www.worldscientific.com/worldscinet/idaqpen_US
dc.identifier.citationDuvenhage, R. & Mapaya, M. 2023, 'Quantum Wasserstein distance of order 1 between channels', Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 26, no. 3, art. 2350006, doi : 10.1142/S0219025723500066.en_US
dc.identifier.issn0219-0257 (print)
dc.identifier.issn1793-6306 (online)
dc.identifier.urihttp://hdl.handle.net/2263/93539
dc.language.isoenen_US
dc.publisherWorld Scientific Publishingen_US
dc.rights© World Scientific Publishing. Electronic version of an article published in Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 26, no. 3, art. 2350006, 2023, doi : 10.1142/S0219025723500066. The original publication is available at : https://www.worldscientific.com/worldscinet/idaqp.en_US
dc.subjectComposite systemsen_US
dc.subjectQuantum channelsen_US
dc.subjectQuantum Wasserstein distance of order 1en_US
dc.subjectQuantum optimal transporten_US
dc.titleQuantum Wasserstein distance of order 1 between channelsen_US
dc.typePostprint Articleen_US

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