Epistemic Odds of Contextuality in Cyclic Systems

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

备注：: 7 pp, version 6 has a typo corrected, in press in European Physics Journal Special Topics
DOI：: 10.1140/epjs/s11734-021-00063-7

英文摘要：

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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