Imitating quantum probabilities: Beyond Bell's theorem and Tsirelson bounds

• URL: http://arxiv.org/abs/2105.12728v4
• Date: Wed, 13 Jul 2022 14:08:32 GMT
• Title: Imitating quantum probabilities: Beyond Bell's theorem and Tsirelson bounds
• Authors: Marek Czachor and Kamil Nalikowski
• Abstract summary: Violation of Bell-type inequalities is shown to be a confusion of languages' problem. mixing different but neighboring levels of the hierarchy results in violations beyond the Tsirelson bounds.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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