Epistemic odds of contextuality in cyclic systems



: Dzhafarov Ehtibar N., Kujala Janne V., Cervantes Víctor H.

Publisher: SPRINGER HEIDELBERG

: 2021

: European Physical Journal - Special Topics

: EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS

: EUR PHYS J-SPEC TOP

: 4

: 1951-6355

: 1951-6401

DOI: https://doi.org/10.1140/epjs/s11734-021-00063-7

: https://link.springer.com/article/10.1140/epjs/s11734-021-00063-7

: 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.

Last updated on 2024-26-11 at 17:17