Imitating quantum probabilities: Beyond Bell's theorem and Tsirelson bounds
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866913359946842112 |
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| author | Czachor, Marek Nalikowski, Kamil |
| author_facet | Czachor, Marek Nalikowski, Kamil |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2105_12728 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Imitating quantum probabilities: Beyond Bell's theorem and Tsirelson bounds Czachor, Marek Nalikowski, Kamil Quantum Physics 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. |
| title | Imitating quantum probabilities: Beyond Bell's theorem and Tsirelson bounds |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2105.12728 |