A note on the relation between the Contextual Fraction and CNT2
Abstract
Contextuality (or lack thereof) is a property of systems of random variables. Among the measures of the degree of contextuality, two have played important roles. One of them, Contextual Fraction ($\text{CNTF}$) was proposed within the framework of the sheaftheoretic approach to contextuality, and extended to arbitrary systems in the ContextualitybyDefault approach. The other, denoted $\text{CNT}_{2}$, was proposed as one of the measures within the ContextualitybyDefault approach. In this note, I prove that $\text{CNTF}=2\text{CNT}_{2}$ within a class of systems, called cyclic, that have played a prominent role in contextuality research.
 Publication:

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.07113
 Bibcode:
 2021arXiv211007113C
 Keywords:

 Quantum Physics;
 Mathematics  Probability;
 81P13
 EPrint:
 19 pages