Breaking of Bell inequalities from $S_4$ symmetry: the three orbits case

Abstract

The recently proposed (Phys. Rev. A90 (2014), 062121 and Phys. Rev. A91 (2015), 052110) group theoretical approach to the problem of breaking the Bell inequalities is applied to $S_4$ group. The Bell inequalities based on the choice of three orbits in the representation space corresponding to standard representation of $S_4$ are derived and their breaking is described. The corresponding nonlocal games are analyzed.

19 pages, no figures

References in corpus (4)

• Graph-Theoretic Approach to Quantum Correlations
• Two Proofs of Fine's Theorem
• Mathematical and physical meaning of the Bell inequalities
• Violation of Bell inequality based on $S_4$ symmetry

Cited by in corpus (2)

• Note on Güney-Hillery approach to Bell inequalities
• Groups, Platonic solids and Bell inequalities