Fully nonlocal quantum correlations

Year: 2012

Authors: Aolita L., Gallego R., Acin A., Chiuri A., Vallone G., Mataloni P., Cabello A.

Autors Affiliation: Institut de Ciencies Fotoniques, E-08860 Castelldefels, Barcelona, Spain;
Institucio Catalana de Recerca i Estudis Avanc¸ats, Lluis Companys 23, E-08010 Barcelona, Spain;
Dipartimento di Fisica, Universit`a Sapienza di Roma, I-00185 Roma, Italy;
Museo Storico della Fisica e Centro Studi e Ricerche Enrico Fermi, Via Panisperna 89/A, Compendio del Viminale, I-00184 Roma, Italy;
Istituto Nazionale di Ottica, CNR, Largo E. Fermi 6, I-50125 Florence, Italy;
Departamento de Fısica Aplicada II, Universidad de Sevilla, E-41012 Sevilla, Spain;
Department of Physics, Stockholm University, S-10691 Stockholm, Sweden

Abstract: Quantum mechanics is a nonlocal theory, but not as nonlocal as the no-signalling principle allows. However, there exist quantum correlations that exhibit maximal nonlocality: they are as nonlocal as any nonsignalling correlation and thus have a local content, quantified by the fraction p(L) of events admitting a local description, equal to zero. We exploit the known link between the Kochen-Specker and Bell theorems to derive a maximal violation of a Bell inequality from every Kochen-Specker proof. We then show that these Bell inequalities lead to experimental bounds on the local content of quantum correlations that are significantly better than those based on other constructions. We perform the experimental demonstration of a Bell test originating from the Peres-Mermin Kochen-Specker proof, providing an upper bound on the local content pL less than or similar to 0.22.


Volume: 85 (3)      Pages from: 032107  to: 032107

More Information: We acknowledge support from Spanish projects FIS2008-05596 and FIS2010-14830, QOIT (Consolider Ingenio 2010), a Juan de la Cierva grant, the European EU FP7 Project Q-Essence, EU-Project CHIST-ERA QUASAR, EU-Project CHIST-ERA DIQIP, an ERC Starting Grant PERCENT, CatalunyaCaixa, Generalitat de Catalunya, Italian projects PRIN 2009 of Ministero dell\’Istruzione, dell\’Università e della Ricerca and FARI 2010 Sapienza Universita di Roma, and the Wenner-Gren Foundation.
KeyWords: Kochen-Specker theorem; Bell inequalities; hidden-variables; violation; quantum correlations
DOI: 10.1103/PhysRevA.85.032107

Citations: 36
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