The contextual fraction as a measure of contextuality

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.

6 pages plus 12 pages supplemental material, 3 figures

References in corpus (3)

• Computational power of correlations
• Logical Bell Inequalities
• A classification of multipartite states by degree of non-locality

Cited by in corpus (6)

• Violations of locality and free choice are equivalent resources in Bell experiments
• Anomalies of weight-based coherence measure and mixed maximally coherent states
• Contextuality Analysis of Impossible Figures
• From the problem of Future Contingents to Peres-Mermin square experiments: An introductory review to Contextuality
• Hierarchy and robustness of multilevel two-time temporal quantum correlations
• Contextuality, Witness of Quantum Weirdness