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Optimal Inequalities for State-Independent Contextuality
University of Siegen, Germany .
University of Siegen, Germany .
Linköping University, Department of Electrical Engineering, Information Coding. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-1082-8325
University of Siegen, Germany .
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2012 (English)In: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 109, no 25, 250402- p.Article in journal (Refereed) Published
Abstract [en]

Contextuality is a natural generalization of nonlocality which does not need composite systems or spacelike separation and offers a wider spectrum of interesting phenomena. Most notably, in quantum mechanics there exist scenarios where the contextual behavior is independent of the quantum state. We show that the quest for an optimal inequality separating quantum from classical noncontextual correlations in a state-independent manner admits an exact solution, as it can be formulated as a linear program. We introduce the noncontextuality polytope as a generalization of the locality polytope and apply our method to identify two different tight optimal inequalities for the most fundamental quantum scenario with state-independent contextuality.

Place, publisher, year, edition, pages
American Physical Society , 2012. Vol. 109, no 25, 250402- p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-88369DOI: 10.1103/PhysRevLett.109.250402ISI: 000312497700001OAI: oai:DiVA.org:liu-88369DiVA: diva2:602873
Note

Funding Agencies|Spanish Project|FIS2011-29400|EU|Marie-Curie CIG 293933/ENFOQ|Austrian Science Fund (FWF)||START prize|Y376-N16|BMBF (CHIST-ERA network QUASAR)||

Available from: 2013-02-04 Created: 2013-02-04 Last updated: 2017-12-06

Open Access in DiVA

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