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Observers of quantum systems cannot agree to disagree

dc.contributor.authorContreras Tejada, Patricia
dc.contributor.authorScarpa, Giannicola
dc.contributor.authorKubicki, Aleksander M.
dc.contributor.authorBrandenburger, Adam
dc.contributor.authorLa Mura, Pierfrancesco
dc.date.accessioned2023-06-16T14:25:07Z
dc.date.available2023-06-16T14:25:07Z
dc.date.issued2021-12-02
dc.description.abstractIs the world quantum? An active research line in quantum foundations is devoted to exploring what constraints can rule out the postquantum theories that are consistent with experimentally observed results. We explore this question in the context of epistemics, and ask whether agreement between observers can serve as a physical principle that must hold for any theory of the world. Aumann’s seminal Agreement Theorem states that two observers (of classical systems) cannot agree to disagree. We propose an extension of this theorem to no-signaling settings. In particular, we establish an Agreement Theorem for observers of quantum systems, while we construct examples of (postquantum) no-signaling boxes where observers can agree to disagree. The PR box is an extremal instance of this phenomenon. These results make it plausible that agreement between observers might be a physical principle, while they also establish links between the fields of epistemics and quantum information that seem worthy of further exploration.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.sponsorshipComunidad de Madrid
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/74369
dc.identifier.doi10.1038/s41467-021-27134-6
dc.identifier.issn2041-1723
dc.identifier.officialurlhttps://doi.org/10.1038/s41467-021-27134-6
dc.identifier.relatedurlhttps://www.nature.com/articles/s41467-021-27134-6
dc.identifier.urihttps://hdl.handle.net/20.500.14352/4983
dc.issue.number1
dc.journal.titleNature Communications
dc.language.isoeng
dc.publisherNature Research
dc.relation.projectIDMTM2017-88385-P; SEV-2015-0554-16-3; PID2020-113523GBI00; MTM2017-83262-C2-1-P; MTM2014- 54240-P
dc.relation.projectIDQUITEMAD-CM (P2018/TCS4342)
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/es/
dc.subject.cdu530.145
dc.subject.keywordQuantum information
dc.subject.keywordTheoretical physics
dc.subject.ucmTeoría de los quanta
dc.subject.unesco2210.23 Teoría Cuántica
dc.titleObservers of quantum systems cannot agree to disagree
dc.typejournal article
dc.volume.number12
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