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

作者：Bancal Jean Daniel^*; Branciard Cyril; Brunner Nicolas; Gisin Nicolas; Liang Yeong Cherng

来源：Journal of Physics A-Mathematical and Theoretical, 2012, 45(12): 125301.

DOI：10.1088/1751-8113/45/12/125301

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.

• 出版日期2012-3-30