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Bell Inequalities and Group Symmetry
- Source :
- International Journal of Theoretical Physics. 56:3831-3837
- Publication Year :
- 2017
- Publisher :
- Springer Science and Business Media LLC, 2017.
-
Abstract
- Recently the method based on irreducible representations of finite groups has been proposed as a tool for investigating the more sophisticated versions of Bell inequalities (V. Ugǔr Gűney, M. Hillery, Phys. Rev. A90, 062121 ([2014]) and Phys. Rev. A91, 052110 ([2015])). In the present paper an example based on the symmetry group S 4 is considered. The Bell inequality violation due to the symmetry properties of regular tetrahedron is described. A nonlocal game based on the inequalities derived is described and it is shown that the violation of Bell inequality implies that the quantum strategies outperform their classical counterparts.
- Subjects :
- Mathematics(all)
Bell state
Pure mathematics
Physics and Astronomy (miscellaneous)
General Mathematics
CHSH inequality
Quantum Physics
Symmetry group
01 natural sciences
010305 fluids & plasmas
Bell's theorem
Irreducible representation
0103 physical sciences
High Energy Physics::Experiment
Bell test experiments
Symmetry (geometry)
010306 general physics
Counterfactual definiteness
Mathematics
Subjects
Details
- ISSN :
- 15729575 and 00207748
- Volume :
- 56
- Database :
- OpenAIRE
- Journal :
- International Journal of Theoretical Physics
- Accession number :
- edsair.doi.dedup.....64793dc913bcb300d08ffc2c905130e0