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Gorde:
Xehetasun bibliografikoak
Egile nagusia: Gogishvili, david
Formatua: Recurso digital
Hizkuntza:
Argitaratua: Zenodo 2026
Gaiak:
Quantum Optimal Transport, BKM metric, Relative Entropy, de Sitter space, Geometry from Information (GFI), Quantum Wasserstein-2 geometry, Noncommutative Geometry, Operator Algebras, Island Formula.
Sarrera elektronikoa:https://doi.org/10.5281/zenodo.19082564
Etiketak: Etiketa erantsi
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Aurkibidea:
  • <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>

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