Observers of quantum systems cannot agree to disagree

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Aumann’s agreement theorem states that observers of classical systems can’t “agree to disagree." Here, the authors show that the same epistemic consistency holds for observers of quantum states, but not for observers of post-quantum no-signalling boxes, hinting at its potential status as a phys...

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Autores principales: Contreras-Tejada, Patricia, Scarpa, Giannicola, Kubicki, Aleksander M., Brandenburger, Adam, La Mura, Pierfrancesco
Lenguaje:eng
Publicado: 2021
Materias:
quant-ph
General Theoretical Physics
Acceso en línea:https://dx.doi.org/10.1038/s41467-021-27134-6
http://cds.cern.ch/record/2792138
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author Contreras-Tejada, Patricia
Scarpa, Giannicola
Kubicki, Aleksander M.
Brandenburger, Adam
La Mura, Pierfrancesco
author_facet Contreras-Tejada, Patricia
Scarpa, Giannicola
Kubicki, Aleksander M.
Brandenburger, Adam
La Mura, Pierfrancesco
author_sort Contreras-Tejada, Patricia
collection CERN
description Aumann’s agreement theorem states that observers of classical systems can’t “agree to disagree." Here, the authors show that the same epistemic consistency holds for observers of quantum states, but not for observers of post-quantum no-signalling boxes, hinting at its potential status as a physical principle.
id cern-2792138
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2021
record_format invenio
spelling cern-27921382021-12-20T16:45:56Zdoi:10.1038/s41467-021-27134-6doi:10.1038/s41467-021-27134-6http://cds.cern.ch/record/2792138engContreras-Tejada, PatriciaScarpa, GiannicolaKubicki, Aleksander M.Brandenburger, AdamLa Mura, PierfrancescoObservers of quantum systems cannot agree to disagreequant-phGeneral Theoretical PhysicsAumann’s agreement theorem states that observers of classical systems can’t “agree to disagree." Here, the authors show that the same epistemic consistency holds for observers of quantum states, but not for observers of post-quantum no-signalling boxes, hinting at its potential status as a physical principle.Is 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.arXiv:2102.08966oai:cds.cern.ch:27921382021-02-17
spellingShingle quant-ph
General Theoretical Physics
Contreras-Tejada, Patricia
Scarpa, Giannicola
Kubicki, Aleksander M.
Brandenburger, Adam
La Mura, Pierfrancesco
Observers of quantum systems cannot agree to disagree
title Observers of quantum systems cannot agree to disagree
title_full Observers of quantum systems cannot agree to disagree
title_fullStr Observers of quantum systems cannot agree to disagree
title_full_unstemmed Observers of quantum systems cannot agree to disagree
title_short Observers of quantum systems cannot agree to disagree
title_sort observers of quantum systems cannot agree to disagree
topic quant-ph
General Theoretical Physics
url https://dx.doi.org/10.1038/s41467-021-27134-6
https://dx.doi.org/10.1038/s41467-021-27134-6
http://cds.cern.ch/record/2792138
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AT scarpagiannicola observersofquantumsystemscannotagreetodisagree
AT kubickialeksanderm observersofquantumsystemscannotagreetodisagree
AT brandenburgeradam observersofquantumsystemscannotagreetodisagree
AT lamurapierfrancesco observersofquantumsystemscannotagreetodisagree

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