Gorde:
| Egile nagusia: | |
|---|---|
| Formatua: | Recurso digital |
| Hizkuntza: | |
| Argitaratua: |
Zenodo
2025
|
| Gaiak: | |
| Sarrera elektronikoa: | https://doi.org/10.5281/zenodo.15549470 |
| Etiketak: |
Etiketa erantsi
Etiketarik gabe, Izan zaitez lehena erregistro honi etiketa jartzen!
|
Aurkibidea:
- <p>We announce the Mutual–Information Jewel distance</p> <p> d_E(A,B) = K₀ / √I(A:B) ,</p> <p>where I(A:B) is the quantum mutual information between two regions of a many-body state.</p> <p>Jewel Theorem. If I(r) ∝ r^(–X) with 0 < X ≤ 2 (the scaling realised in 1-D conformal critical points), then 1/I is a kernel of negative type and d_E is a bona-fide metric that embeds isometrically in a Hilbert space. The special case X = 2 yields d_E(r) ∝ r, reproducing a Euclidean ruler from entanglement data alone.</p> <p>Full proofs, XXZ benchmarks, and dynamical light-cone validation will appear in a forthcoming submission.</p> <p>SHA-256 digest of the complete draft (v0.9):<br>01c35bce761471261d09ddf522f9467fc1d28dbc556ce13e9587f1ed039f25b9</p>