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A framework for the study of symmetric full-correlation Bell-like inequalities

Published inJournal of physics. A, mathematical and general, vol. 45, no. 12, 125301
Publication date2012
Abstract

Full-correlation Bell-like inequalities represent an important subclass of Bell-like inequalities that have found applications in both a better understanding of fundamental physics and in quantum information science. Loosely speaking, these are inequalities where only measurement statistics involving all parties play a role. In this paper, we provide a framework for the study of a large family of such inequalities that are symmetrical with respect to arbitrary permutations of the parties. As an illustration of the power of our framework, we derive (i) a new family of Svetlichny inequalities for arbitrary numbers of parties, settings and outcomes, (ii) a new family of two-outcome device-independent entanglement witnesses for genuine n-partite entanglement and (iii) a new family of two-outcome Tsirelson inequalities for arbitrary numbers of parties and settings. We also discuss briefly the application of these new inequalities in the characterization of quantum correlations....

Citation (ISO format)
BANCAL, Jean-Daniel et al. A framework for the study of symmetric full-correlation Bell-like inequalities. In: Journal of physics. A, mathematical and general, 2012, vol. 45, n° 12, p. 125301. doi: 10.1088/1751-8113/45/12/125301
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ISSN of the journal0305-4470
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