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
Find this paper interesting or want to discuss? Scite or leave a comment on SciRate.
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
► References
[1] J.S. Bell, Physics 1, 195 (1964).
https://doi.org/10.1103/PhysicsPhysiqueFizika.1.195
[2] Y-C. Liang, R. Spekkens, H. Wiseman, Phys. Rep. 506 (1-2), 1 (2011).
https://doi.org/10.1016/j.physrep.2011.05.001
[3] N. Brunner, D. Cavalcanti, S. Pironio, V. Scarani, S. Wehner, Rev. Mod. Phys. 86, 419 (2014).
https://doi.org/10.1103/RevModPhys.86.419
[4] V.U. Güney, M. Hillery, Phys. Rev. A90, 062121 (2014).
https://doi.org/10.1103/PhysRevA.90.062121
[5] V.U. Güney, M. Hillery, Phys. Rev. A91, 052110 (2015).
https://doi.org/10.1103/PhysRevA.91.052110
[6] K. Bolonek-Lasoń, Phys. Rev. A94, 022107 (2016).
https://doi.org/10.1103/PhysRevA.94.022107
[7] K. Bolonek-Lasoń, Ścibór Sobieski, Quantum Inf. Process. 16, 38 (2017).
https://doi.org/10.1007/s11128-016-1470-1
[8] K. Bolonek-Lasoń, P. Kosiński, Phys. Rev. A99, 052122 (2019).
https://doi.org/10.1103/PhysRevA.99.052122
[9] K. Bolonek-Lasoń, P. Kosiński, Quantum Inf. Process. 19, 63 (2020).
https://doi.org/10.1007/s11128-019-2557-2
[10] A. Fine, Phys. Rev. Lett. 48, 291 (1982).
https://doi.org/10.1103/PhysRevLett.48.291
[11] A. Tavakoli, N. Gisin, Quantum 4, 293 (2020).
https://doi.org/10.22331/q-2020-07-09-293
[12] M. Hamermesh, Group Theory and its Application to Physical Problems, Pergamon Press, (1962).
[13] S. Hossenfelder, Lost in Math: How Beauty Leads Physics Astray, Basic Book, (2018).
https://doi.org/10.1007/s00016-019-00233-0
[14] T. Vertesi, Phys. Rev. A78, 032112 (2008).
https://doi.org/10.1103/PhysRevA.78.032112
[15] S. Brierley, M. Navascues, T. Vertesi, Convex separation from convex optimization for large-scale problems, arXiv:1609.05011.
arXiv:1609.05011
[16] A. Peres, Found. Phys. 29, 589 (1999).
https://doi.org/10.1023/A:1018816310000
[17] T. Vertesi, N. Brunner, Nature Communications 5, 5297 (2014).
https://doi.org/10.1038/ncomms6297
Cited by
[1] Junseo Lee and Kabgyun Jeong, “High-dimensional Private Quantum Channels and Regular Polytopes”, Communications in Physics 31 2, 189 (2021).
[2] José I. Latorre and Germán Sierra, “Platonic Entanglement”, arXiv:2107.04329.
The above citations are from SAO/NASA ADS (last updated successfully 2021-11-29 15:52:16). The list may be incomplete as not all publishers provide suitable and complete citation data.
Could not fetch Crossref cited-by data during last attempt 2021-11-29 15:52:14: Could not fetch cited-by data for 10.22331/q-2021-11-29-593 from Crossref. This is normal if the DOI was registered recently.
This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions.
PlatoAi. Web3 Reimagined. Data Intelligence Amplified.
Click here to access.
Source: https://quantum-journal.org/papers/q-2021-11-29-593/