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Article: General Bayesian theories and the emergence of the exclusivity principle

TitleGeneral Bayesian theories and the emergence of the exclusivity principle
Authors
Issue Date2020
PublisherAmerican Physical Society. The Journal's web site is located at https://journals.aps.org/prresearch/
Citation
Physical Review Research, 2020, v. 2, p. article no. 042001(R) How to Cite?
AbstractWe address the problem of reconstructing quantum theory from the perspective of an agent who makes bets about the outcomes of possible experiments. We build a general Bayesian framework that can be used to organize the agent's beliefs and update them when new information becomes available. Our framework includes as special cases classical and quantum probability theory, as well as other forms of probabilistic reasoning that may arise in future physical theories. Building on this framework, we develop a notion of an ideal experiment, which in quantum theory coincides with the notion of projective measurement. We then prove that, in every general Bayesian theory, ideal experiments must satisfy the exclusivity principle, a property of projective measurements that plays a central role in the characterization of quantum correlations. Our result suggests that the set of quantum correlations may be completely characterized in terms of Bayesian consistency conditions.
DescriptionHybrid open access
Persistent Identifierhttp://hdl.handle.net/10722/291054
ISSN
2023 Impact Factor: 3.5
2023 SCImago Journal Rankings: 1.689
ISI Accession Number ID
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DC FieldValueLanguage
dc.contributor.authorChiribella, G-
dc.contributor.authorCabello, A-
dc.contributor.authorKleinmann, M-
dc.contributor.authorMüller, M-
dc.date.accessioned2020-11-02T05:50:55Z-
dc.date.available2020-11-02T05:50:55Z-
dc.date.issued2020-
dc.identifier.citationPhysical Review Research, 2020, v. 2, p. article no. 042001(R)-
dc.identifier.issn2643-1564-
dc.identifier.urihttp://hdl.handle.net/10722/291054-
dc.descriptionHybrid open access-
dc.description.abstractWe address the problem of reconstructing quantum theory from the perspective of an agent who makes bets about the outcomes of possible experiments. We build a general Bayesian framework that can be used to organize the agent's beliefs and update them when new information becomes available. Our framework includes as special cases classical and quantum probability theory, as well as other forms of probabilistic reasoning that may arise in future physical theories. Building on this framework, we develop a notion of an ideal experiment, which in quantum theory coincides with the notion of projective measurement. We then prove that, in every general Bayesian theory, ideal experiments must satisfy the exclusivity principle, a property of projective measurements that plays a central role in the characterization of quantum correlations. Our result suggests that the set of quantum correlations may be completely characterized in terms of Bayesian consistency conditions.-
dc.languageeng-
dc.publisherAmerican Physical Society. The Journal's web site is located at https://journals.aps.org/prresearch/-
dc.relation.ispartofPhysical Review Research-
dc.rightsCopyright [2020] by The American Physical Society. This article is available online at [http://dx.doi.org/10.1103/PhysRevResearch.2.042001].-
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.-
dc.titleGeneral Bayesian theories and the emergence of the exclusivity principle-
dc.typeArticle-
dc.identifier.emailChiribella, G: giulio@cs.hku.hk-
dc.identifier.authorityChiribella, G=rp02035-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevResearch.2.042001-
dc.identifier.scopuseid_2-s2.0-85102545684-
dc.identifier.hkuros318437-
dc.identifier.volume2-
dc.identifier.spagearticle no. 042001(R)-
dc.identifier.epagearticle no. 042001(R)-
dc.identifier.isiWOS:000604209800001-
dc.publisher.placeUnited States-
dc.relation.projectCompressed Quantum Dynamics: Storing, Programming, and Simulating Physical Processes with Minimum-Sized Quantum Systems-
dc.identifier.issnl2643-1564-

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