A1 Refereed original research article in a scientific journal
Epistemic odds of contextuality in cyclic systems
Authors: Dzhafarov Ehtibar N., Kujala Janne V., Cervantes Víctor H.
Publisher: SPRINGER HEIDELBERG
Publication year: 2021
Journal: European Physical Journal - Special Topics
Journal name in source: EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
Journal acronym: EUR PHYS J-SPEC TOP
Number of pages: 4
ISSN: 1951-6355
eISSN: 1951-6401
DOI: https://doi.org/10.1140/epjs/s11734-021-00063-7
Web address : https://link.springer.com/article/10.1140/epjs/s11734-021-00063-7
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/56362424
Beginning with the Bell theorem, cyclic systems of dichotomous random variables have been the object of many foundational findings in quantum mechanics. Here, we ask the question: if one chooses a cyclic system "at random" (uniformly within the hyperbox of all possible systems with given marginals), what are the odds that it will be contextual? We show that the odds of contextuality rapidly tend to zero as the size of the system increases. The result is based on the Contextuality-by-Default theory, in which we do not have to assume that the systems are subject to the no-disturbance/no-signaling constraints.
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