The contextual fraction as a measure of contextuality
Quantum Physics
2017-08-09 v1
Abstract
We consider the contextual fraction as a quantitative measure of contextuality of empirical models, i.e. tables of probabilities of measurement outcomes in an experimental scenario. It provides a general way to compare the degree of contextuality across measurement scenarios; it bears a precise relationship to violations of Bell inequalities; its value, and a witnessing inequality, can be computed using linear programming; it is monotone with respect to the "free" operations of a resource theory for contextuality; and it measures quantifiable advantages in informatic tasks, such as games and a form of measurement based quantum computing.
Keywords
Cite
@article{arxiv.1705.07918,
title = {The contextual fraction as a measure of contextuality},
author = {Samson Abramsky and Rui Soares Barbosa and Shane Mansfield},
journal= {arXiv preprint arXiv:1705.07918},
year = {2017}
}
Comments
6 pages plus 12 pages supplemental material, 3 figures