Groups, Platonic solids and Bell inequalities

Katarzyna Bolonek-Lasoń; Piotr Kosiński

doi:10.22331/q-2021-11-29-593

Groups, Platonic solids and Bell inequalities

Katarzyna Bolonek-Lasoń¹ and Piotr Kosiński²

¹Department of Statistical Methods, Faculty of Economics and Sociology University of Lodz, 41/43 Rewolucji 1905 St., 90-214 Lodz, Poland
²Department of Computer Science, Faculty of Physics and Applied Informatics University of Lodz, 149/153 Pomorska St., 90-236 Lodz, Poland

Published:	2021-11-29, volume 5, page 593
Eprint:	arXiv:2009.04347v3
Doi:	https://doi.org/10.22331/q-2021-11-29-593
Citation:	Quantum 5, 593 (2021).

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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.

► BibTeX data

@article{BolonekLason2021groupsplatonic,
  doi = {10.22331/q-2021-11-29-593},
  url = {https://doi.org/10.22331/q-2021-11-29-593},
  title = {Groups, {P}latonic solids and {B}ell inequalities},
  author = {Bolonek-Laso{\'{n}}, Katarzyna and Kosi{\'{n}}ski, Piotr},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {5},
  pages = {593},
  month = nov,
  year = {2021}
}

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Cited by

[1] Károly F. Pál and Tamás Vértesi, "Platonic Bell inequalities for all dimensions", Quantum 6, 756 (2022).

[2] José I. Latorre and Germán Sierra, "Platonic Entanglement", arXiv:2107.04329, (2021).

[3] Junseo Lee and Kabgyun Jeong, "High-dimensional Private Quantum Channels and Regular Polytopes", Communications in Physics 31 2, 189 (2021).

The above citations are from Crossref's cited-by service (last updated successfully 2023-09-28 02:20:17) and SAO/NASA ADS (last updated successfully 2023-09-28 02:20:18). The list may be incomplete as not all publishers provide suitable and complete citation data.

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