Imitating quantum probabilities: Beyond Bell's theorem and Tsirelson bounds
Quantum Physics
2024-05-27 v4
Abstract
Local hidden-variable model of singlet-state correlations discussed in M. Czachor, Arithmetic loophole in Bell's Theorem: Overlooked threat to entangled-state quantum cryptography, Acta Phys. Polon. A 139, 70-83 (2021), is shown to be a particular case of an infinite hierarchy of local hidden-variable models based on an infinite hierarchy of calculi. Violation of Bell-type inequalities is shown to be a `confusion of languages' problem, a result of mixing different but neighboring levels of the hierarchy. Mixing of non-neighboring levels results in violations beyond the Tsirelson bounds.
Cite
@article{arxiv.2105.12728,
title = {Imitating quantum probabilities: Beyond Bell's theorem and Tsirelson bounds},
author = {Marek Czachor and Kamil Nalikowski},
journal= {arXiv preprint arXiv:2105.12728},
year = {2024}
}
Comments
Version published online in Foundations of Science. A talk related to this paper can be watched at https://www.youtube.com/watch?v=W5z8HfIltO4