Information Geometry and Quantum Fields

DOI10.1007/978-3-030-77957-3_17OpenAlexW3177462067MaRDI QIDQ5021909

Kevin T. Grosvenor

Publication date: 14 January 2022

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-77957-3_17

Mathematics Subject Classification ID

Computer science (68-XX) Statistical mechanics, structure of matter (82-XX) Differential geometry (53-XX)

Cites Work

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• Phase transition strength through densities of general distributions of zeroes
• Holographic duality from random tensor networks
• Complexity of formation in holography
• Circuit complexity in quantum field theory
• Connecting Fisher information to bulk entanglement in holography
• Yang-Mills instantons in the large-\(N\) limit and the AdS/CFT correspondence
• The Ryu-Takayanagi formula from quantum error correction
• Geometry of quantum phase transitions
• Information geometry and sufficient statistics
• Bulk locality and quantum error correction in AdS/CFT
• Relative entropy and proximity of quantum field theories
• Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence
• Computational complexity and black hole horizons
• Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
• Statistical inference and string theory
• A new mathematical framework for the study of linkage and selection
• The information geometry of the one-dimensional Potts model
• The renormalization group via statistical inference
• Information Geometry
• Renormalization group flow and parallel transport with non-metric compatible connections

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