Groups, Platonic solids and Bell inequalities
Katarzyna Bolonek-Laso\'n, Piotr Kosi\'nski
TL;DR
This paper generalizes the construction of Bell inequalities using Platonic and Archimedean solids to include orbits generated by finite group actions, demonstrating significant violations in various examples.
Contribution
It introduces a new method for constructing Bell inequalities based on finite group actions, expanding previous geometric approaches.
Findings
Several examples show substantial violation of Bell inequalities.
The approach broadens the class of Bell inequalities derivable from geometric symmetries.
The method highlights the role of finite groups in quantum nonlocality.
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.
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