Quantum Correlation Efficiency: Tsirelson's Bound from Čencov's Uniqueness Theorem via the Explaining-Away Penalty
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2026
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| _version_ | 1866901616243769344 |
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| author | Eckert, Anthony |
| author_facet | Eckert, Anthony |
| contents | Derives Tsirelson's bound (CHSH ≤ 2√2) from Čencov's uniqueness theorem via a new mechanism: quantum mechanics maximizes correlation efficiency S/I(D;M|Y), where I(D;M|Y) is the explaining-away penalty forced by the Fisher metric. Computational experiments across (N,2,2) Bell scenarios (N=2–8) show quantum's efficiency advantage diverges as N^2.54 (R²=0.9997). The quantum set is the unique efficiency frontier of information geometry. |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19856799 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Quantum Correlation Efficiency: Tsirelson's Bound from Čencov's Uniqueness Theorem via the Explaining-Away Penalty Eckert, Anthony Tsirelson bound Čencov uniqueness theorem Fisher metric information causality Bell inequality explaining-away penalty quantum foundations information geometry correlation efficiency quantum set Derives Tsirelson's bound (CHSH ≤ 2√2) from Čencov's uniqueness theorem via a new mechanism: quantum mechanics maximizes correlation efficiency S/I(D;M|Y), where I(D;M|Y) is the explaining-away penalty forced by the Fisher metric. Computational experiments across (N,2,2) Bell scenarios (N=2–8) show quantum's efficiency advantage diverges as N^2.54 (R²=0.9997). The quantum set is the unique efficiency frontier of information geometry. |
| title | Quantum Correlation Efficiency: Tsirelson's Bound from Čencov's Uniqueness Theorem via the Explaining-Away Penalty |
| topic | Tsirelson bound Čencov uniqueness theorem Fisher metric information causality Bell inequality explaining-away penalty quantum foundations information geometry correlation efficiency quantum set |
| url | https://doi.org/10.5281/zenodo.19856799 |