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Simple Hardy-Like Proof of Quantum Contextuality
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
2013 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 111, no 18, 180404- p.Article in journal (Refereed) Published
Abstract [en]

Contextuality and nonlocality are two fundamental properties of nature. Hardy's proof is considered the simplest proof of nonlocality and can also be seen as a particular violation of the simplest Bell inequality. A fundamental question is: Which is the simplest proof of contextuality? We show that there is a Hardy-like proof of contextuality that can also be seen as a particular violation of the simplest noncontextuality inequality. Interestingly, this new proof connects this inequality with the proof of the Kochen-Specker theorem, providing the missing link between these two fundamental results, and can be extended to an arbitrary odd number n of settings, an extension that can be seen as a particular violation of the n-cycle inequality.

Place, publisher, year, edition, pages
2013. Vol. 111, no 18, 180404- p.
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-97034DOI: 10.1103/PhysRevLett.111.180404ISI: 000326279400001OAI: oai:DiVA.org:su-97034DiVA: diva2:670500
Note

AuthorCount:4;

Funding agencies:

MINECO, Spain FIS2011-29400; Fapemi;  Capes;  CNPq;  Swedish Research Council (VR;)  ERC Advanced Grant QOLAPS  

Available from: 2013-12-03 Created: 2013-12-02 Last updated: 2017-12-06Bibliographically approved

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Badziag, PiotrBourennane, Mohamed
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