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dc.creatorXu, Zhen-Penges
dc.creatorSaha, Debashises
dc.creatorBharti, Kishores
dc.creatorCabello Quintero, Adánes
dc.date.accessioned2024-04-24T06:09:34Z
dc.date.available2024-04-24T06:09:34Z
dc.date.issued2024-04-03
dc.identifier.citationXu, Z., Saha, D., Bharti, K. y Cabello Quintero, A. (2024). Certifying sets of quantum observables with any full-rank state. Physical Review Letters, 132(14) (140201), 140201-1-140201-6. https://doi.org/10.1103/PhysRevLett.132.140201.
dc.identifier.issn0031-9007es
dc.identifier.issn1079-7114es
dc.identifier.urihttps://hdl.handle.net/11441/157053
dc.description.abstractWe show that some sets of quantum observables are unique up to an isometry and have a contextuality witness that attains the same value for any initial state. We prove that these two properties make it possible to certify any of these sets by looking at the statistics of experiments with sequential measurements and using any initial state of full rank, including thermal and maximally mixed states. We prove that this “certification with any full-rank state” (CFR) is possible for any quantum system of finite dimension d ≥ 3 and is robust and experimentally useful in dimensions 3 and 4. In addition, we prove that complete Kochen-Specker sets can be Bell self-tested if and only if they enable CFR. This establishes a fundamental connection between these two methods of certification, shows that both methods can be combined in the same experiment, and opens new possibilities for certifying quantum devices.es
dc.formatapplication/pdfes
dc.format.extent23 p.es
dc.language.isoenges
dc.publisherAmerican Physical Societyes
dc.relation.ispartofPhysical Review Letters, 132(14) (140201), 140201-1-140201-6.
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectQuantum observableses
dc.subjectContextualityes
dc.titleCertifying sets of quantum observables with any full-rank statees
dc.typeinfo:eu-repo/semantics/articlees
dc.type.versioninfo:eu-repo/semantics/submittedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Física Aplicada IIes
dc.relation.projectIDPID2020-113738 GB-I00es
dc.relation.projectID12305007es
dc.relation.projectID2308085QA29es
dc.relation.publisherversionhttps://journals.aps.org/prl/pdf/10.1103/PhysRevLett.132.140201es
dc.identifier.doi10.1103/PhysRevLett.132.140201es
dc.contributor.groupUniversidad de Sevilla. FQM239: Fundamentos de Mecánica Cuánticaes
dc.journaltitlePhysical Review Letterses
dc.publication.volumen132(14)es
dc.publication.issue140201es
dc.publication.initialPage140201-1es
dc.publication.endPage140201-6es
dc.contributor.funderMinisterio de Ciencia, Innovación y Universidades (MICINN). Españaes
dc.contributor.funderAgencia Estatal de Investigación. Españaes
dc.contributor.funderNational Natural Science Foundation of Chinaes
dc.contributor.funderAnhui Provincial Natural Science Foundationes
dc.contributor.funderAlexander von Humboldt Foundationes

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