Artículo
General Bayesian theories and the emergence of the exclusivity principle
Autor/es | Chiribella, Giulio
Cabello Quintero, Adán Kleinmann, Matthias Müller, Markus P. |
Departamento | Universidad de Sevilla. Departamento de Física Aplicada II |
Fecha de publicación | 2020-10-05 |
Fecha de depósito | 2023-04-17 |
Publicado en |
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Resumen | We 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 ... We 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. |
Agencias financiadoras | Foundational Questions Institute National Natural Science Foundation of China Hong Kong Research Grant Council Ministerio de Ciencia, Innovación y Universidades (MICINN). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) |
Identificador del proyecto | FQXiRFP3-1325
11675136 17300317 FIS2017-89609-P 258647/GEDENTQOPT |
Cita | Chiribella, G., Cabello Quintero, A., Kleinmann, M. y Müller, M.P. (2020). General Bayesian theories and the emergence of the exclusivity principle. Physical Review Research, 2 (042001). https://doi.org/10.1103/PhysRevResearch.2.042001. |
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