Contextual Fraction as a Measure of Contextuality

Samson Abramsky, Rui Soares Barbosa, and Shane Mansfield
Phys. Rev. Lett. 119, 050504 – Published 4 August 2017
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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 programing; it is monotonic 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.

  • Figure
  • Received 2 February 2017

DOI:https://doi.org/10.1103/PhysRevLett.119.050504

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyGeneral Physics

Authors & Affiliations

Samson Abramsky1, Rui Soares Barbosa1, and Shane Mansfield2

  • 1Department of Computer Science, University of Oxford, Wolfson Building, Parks Road, Oxford OX1 3QD, United Kingdom
  • 2School of Informatics, University of Edinburgh, Informatics Forum, 10 Crichton Street, Edinburgh EH8 9AB, United Kingdom

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Issue

Vol. 119, Iss. 5 — 4 August 2017

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