Fisher Information Is the Squared Lorentz Factor: Why the Qubit Is Special
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2026
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| _version_ | 1866902184522678272 |
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| author | Srivats, Bharath G |
| author_facet | Srivats, Bharath G |
| contents | <p>This preprint proves that on the open qubit Bloch ball the Beltrami-Klein hyperbolic metric is conformal to the Bures (quantum Fisher information) metric with conformal factor 4γ²(r), where γ²(r) = 1/(1−r²) is simultaneously the squared Lorentz factor and the Fisher information of a binary measurement with visibility V = r. A Weyl-tensor obstruction shows this conformal equivalence fails for all N ≥ 3 quantum systems. We derive a closed-form Thomas-Wigner rotation prediction for sequential non-collinear qubit measurements, testable on current platforms.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18949072 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Fisher Information Is the Squared Lorentz Factor: Why the Qubit Is Special Srivats, Bharath G Fisher information Bures metric Bloch ball Beltrami-Klein model conformal equivalence quantum estimation Weyl tensor Quantum Fischer Information <p>This preprint proves that on the open qubit Bloch ball the Beltrami-Klein hyperbolic metric is conformal to the Bures (quantum Fisher information) metric with conformal factor 4γ²(r), where γ²(r) = 1/(1−r²) is simultaneously the squared Lorentz factor and the Fisher information of a binary measurement with visibility V = r. A Weyl-tensor obstruction shows this conformal equivalence fails for all N ≥ 3 quantum systems. We derive a closed-form Thomas-Wigner rotation prediction for sequential non-collinear qubit measurements, testable on current platforms.</p> |
| title | Fisher Information Is the Squared Lorentz Factor: Why the Qubit Is Special |
| topic | Fisher information Bures metric Bloch ball Beltrami-Klein model conformal equivalence quantum estimation Weyl tensor Quantum Fischer Information |
| url | https://doi.org/10.5281/zenodo.18949072 |