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arXiv · 1201.2055

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

Jean-Daniel Bancal·Cyril Branciard·Nicolas Brunner·Nicolas Gisin·Yeong-Cherng Liang
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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.

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Jean-Daniel Bancal, Cyril Branciard, Nicolas Brunner, Nicolas Gisin, Yeong-Cherng Liang. 2012-01-10. A framework for the study of symmetric full-correlation Bell-like inequalities. https://doi.org/10.1088/1751-8113/45/12/125301

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