Complete characterization of extreme quantum observables in infinite dimensions

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dc.contributor.authorPellonpaa JP
dc.contributor.organizationfi=fysiikan ja tähtitieteen laitos|en=Department of Physics and Astronomy|
dc.contributor.organization-code1.2.246.10.2458963.20.55477946762
dc.converis.publication-id1306486
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/1306486
dc.date.accessioned2022-10-28T14:18:06Z
dc.date.available2022-10-28T14:18:06Z
dc.description.abstractWe give a complete characterization for extreme quantum observables, i.e. for normalized positive operator valued measures (POVMs) which are extremals in the convex set of all POVMs. The characterization is valid both in discrete and continuous cases, and also in the case of an infinite-dimensional Hilbert space. We show that sharp POVMs are pre-processing clean, i.e. they cannot be irreversibly connected to other POVMs via quantum channels.
dc.identifier.jour-issn1751-8113
dc.identifier.olddbid187466
dc.identifier.oldhandle10024/170560
dc.identifier.urihttps://www.utupub.fi/handle/11111/43077
dc.identifier.urnURN:NBN:fi-fe2021042714053
dc.language.isoen
dc.okm.affiliatedauthorPellonpää, Juha-Pekka
dc.okm.discipline114 Physical sciencesen_GB
dc.okm.discipline114 Fysiikkafi_FI
dc.okm.internationalcopublicationnot an international co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA1 ScientificArticle
dc.publisherIOP PUBLISHING LTD
dc.publisher.countryUnited Kingdomen_GB
dc.publisher.countryBritanniafi_FI
dc.publisher.country-codeGB
dc.relation.articlenumberARTN 085304
dc.relation.doi10.1088/1751-8113/44/8/085304
dc.relation.ispartofjournalJournal of Physics A: Mathematical and Theoretical
dc.relation.issue8
dc.relation.volume44
dc.source.identifierhttps://www.utupub.fi/handle/10024/170560
dc.titleComplete characterization of extreme quantum observables in infinite dimensions
dc.year.issued2011

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