Epistemic Odds of Contextuality in Cyclic Systems
- URL: http://arxiv.org/abs/2002.07755v6
- Date: Fri, 9 Apr 2021 16:13:00 GMT
- Title: Epistemic Odds of Contextuality in Cyclic Systems
- Authors: Ehtibar N. Dzhafarov, Janne V. Kujala, V\'ictor H. Cervantes
- Abstract summary: 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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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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