Groups, Platonic solids and Bell inequalities

Abstract

The construction of Bell inequalities based on Platonic and Archimedean solids (Quantum 4 (2020), 293) is generalized to the case of orbits generated by the action of some finite groups. A number of examples with considerable violation of Bell inequalities is presented.

arXiv comment15 pages, 6 figures, modified version as suggested by the reviewers, accepted in Quantum 2021-11-18, Licence statement "arXiv.org perpetual, non-exclusive license" changed to CC-BY 4.0 as demanded by Quantum

References in corpus (8)

• Bell nonlocality
• Specker's Parable of the Over-protective Seer: A Road to Contextuality, Nonlocality and Complementarity (PLUS AN ERRATUM)
• Disproving the Peres conjecture: Bell nonlocality from bipartite bound entanglement
• More efficient Bell inequalities for Werner states
• The Platonic solids and fundamental tests of quantum mechanics
• Violation of Bell inequality based on $S_4$ symmetry
• Breaking of Bell inequalities from $S_4$ symmetry: the three orbits case
• Note on Güney-Hillery approach to Bell inequalities