Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Recurso digital |
| Langue: | |
| Publié: |
Zenodo
2026
|
| Sujets: | |
| Accès en ligne: | https://doi.org/10.5281/zenodo.19082564 |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866901197219168256 |
|---|---|
| author | Gogishvili, david |
| author_facet | Gogishvili, david |
| contents | <ul> <li>This document presents a synthesis of research within the "Geometry from Information" (GFI) programme, specifically focusing on Paper 18 and Paper 27. We establish that the Bogoliubov-Kubo-Mori (BKM) metric is the Hessian of relative entropy within the quantum Wasserstein-2 geometry (W_{2}^{Q}) at the de Sitter point. The work demonstrates that the locality of the BKM metric is a consequence of the W_{2}^{Q} geodesic structure. Additionally, it explores the equivalence between the Island formula extremization and W_{2}^{Q}-optimal partitioning, providing a quantum Type II_{\infty} analogue to the Mondino-Suhr theory.</li> </ul> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19082564 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Quantum Optimal Transport and the Gravitational Metric: Collected Papers (GFI Programme) Gogishvili, david Quantum Optimal Transport, BKM metric, Relative Entropy, de Sitter space, Geometry from Information (GFI), Quantum Wasserstein-2 geometry, Noncommutative Geometry, Operator Algebras, Island Formula. <ul> <li>This document presents a synthesis of research within the "Geometry from Information" (GFI) programme, specifically focusing on Paper 18 and Paper 27. We establish that the Bogoliubov-Kubo-Mori (BKM) metric is the Hessian of relative entropy within the quantum Wasserstein-2 geometry (W_{2}^{Q}) at the de Sitter point. The work demonstrates that the locality of the BKM metric is a consequence of the W_{2}^{Q} geodesic structure. Additionally, it explores the equivalence between the Island formula extremization and W_{2}^{Q}-optimal partitioning, providing a quantum Type II_{\infty} analogue to the Mondino-Suhr theory.</li> </ul> |
| title | Quantum Optimal Transport and the Gravitational Metric: Collected Papers (GFI Programme) |
| topic | Quantum Optimal Transport, BKM metric, Relative Entropy, de Sitter space, Geometry from Information (GFI), Quantum Wasserstein-2 geometry, Noncommutative Geometry, Operator Algebras, Island Formula. |
| url | https://doi.org/10.5281/zenodo.19082564 |