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

Jean-Daniel Bancal*, Cyril Branciard, Nicolas Brunner, Nicolas Gisin, Yeong-Cherng Liang

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

30 Citations (Scopus)

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.

Original languageEnglish
Article number125301
Number of pages14
JournalJournal of Physics A: Mathematical and Theoretical
Volume45
Issue number12
DOIs
Publication statusPublished - 30 Mar 2012

Keywords

  • STATES
  • NONLOCALITY
  • THEOREM

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