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Graph-theoretic strengths of contextuality

de Silva, N; (2017) Graph-theoretic strengths of contextuality. Physical Review A , 95 (3) , Article 032108. 10.1103/PhysRevA.95.032108. Green open access

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Abstract

Cabello-Severini-Winter and Abramsky-Hardy (building on the framework of Abramsky-Brandenburger) both provide classes of Bell and contextuality inequalities for very general experimental scenarios using vastly different mathematical techniques. We review both approaches, carefully detail the links between them, and give simple, graph-theoretic methods for finding inequality-free proofs of nonlocality and contextuality and for finding states exhibiting strong nonlocality and/or contextuality. Finally, we apply these methods to concrete examples in stabilizer quantum mechanics relevant to understanding contextuality as a resource in quantum computation.

Type: Article
Title: Graph-theoretic strengths of contextuality
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevA.95.032108
Publisher version: http://doi.org/10.1103/PhysRevA.95.032108
Language: English
Additional information: ©2017 American Physical Society. This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Science & Technology, Physical Sciences, Optics, Physics, Atomic, Molecular & Chemical, Physics, HIDDEN-VARIABLES, QUANTUM CORRELATIONS, NONLOCALITY, INEQUALITIES, STATES, COMMUNICATION, PROBABILITY, MECHANICS, PRINCIPLE, COMPUTER
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: http://discovery.ucl.ac.uk/id/eprint/1550974
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