Breaking of Bell inequalities from S4 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 S4 group. The Bell inequalities based on the choice of three orbits in the representation space corresponding to standard representation of S4 are derived and their breaking is described. The corresponding nonlocal games are analyzed.
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