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Imitating Quantum Probabilities: Beyond Bell’s Theorem and Tsirelson Bounds

Abstract

Local hidden-variable model of singlet-state correlations discussed in M. Czachor, Acta Phys. Polon. A 139, 70, 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 can be interpreted as 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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DOI:
Digital Object Identifier (open in new tab) 10.1007/s10699-022-09856-y
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Copyright (2022 Springer Nature Switzerland AG)

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Category:
Articles
Type:
artykuły w czasopismach
Published in:
Foundations of Science no. 29, pages 281 - 305,
ISSN: 1233-1821
Language:
English
Publication year:
2024
Bibliographic description:
Czachor M., Nalikowski K.: Imitating Quantum Probabilities: Beyond Bell’s Theorem and Tsirelson Bounds// Foundations of Science -Vol. 29, (2024), s.281-305
DOI:
Digital Object Identifier (open in new tab) 10.1007/s10699-022-09856-y
Sources of funding:
  • COST_FREE
Verified by:
Gdańsk University of Technology

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