Open this publication in new window or tab >>2019 (English)In: Entropy, ISSN 1099-4300, E-ISSN 1099-4300, Vol. 21, no 2, p. 1-20, article id 157Article, review/survey (Refereed) Published
Abstract [en]
We start with a review on classical probability representations of quantum states and observables. We show that the correlations of the observables involved in the Bohm-Bell type experiments can be expressed as correlations of classical random variables. The main part of the paper is devoted to the conditional probability model with conditioning on the selection of the pairs of experimental settings. From the viewpoint of quantum foundations, this is a local contextual hidden-variables model. Following the recent works of Dzhafarov and collaborators, we apply our conditional probability approach to characterize (no-)signaling. Consideration of the Bohm-Bell experimental scheme in the presence of signaling is important for applications outside quantum mechanics, e.g., in psychology and social science. The main message of this paper (rooted to Ballentine) is that quantum probabilities and more generally probabilities related to the Bohm-Bell type experiments (not only in physics, but also in psychology, sociology, game theory, economics, and finances) can be classically represented as conditional probabilities.
Place, publisher, year, edition, pages
MDPI, 2019
Keywords
quantum versus classical probability, Bohm-Bell type experiments in physics and psychology, localty, contextual hidden-variables models, (no-)signaling, random generators, selection of experimental settings, conditional probability
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
urn:nbn:se:lnu:diva-81409 (URN)10.3390/e21020157 (DOI)000460742200058 ()2-s2.0-85061988569 (Scopus ID)
2019-03-292019-03-292019-08-29Bibliographically approved