Geometry of information: classical and quantum aspects

DOI10.1016/j.tcs.2021.10.020zbMath1481.14001arXiv2107.08006OpenAlexW3209439916MaRDI QIDQ2077400

Noemie C. Combe, Matilde Marcolli, Yuri I. Manin

Publication date: 21 February 2022

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.08006

zbMATH Keywords

\(F\)-manifoldsclassical and quantum probability distributionsconvex cones of probability distributions on finite setsmotivic information geometry

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Model-theoretic algebra (03C60) Research exposition (monographs, survey articles) pertaining to information and communication theory (94-02) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Measures of information, entropy (94A17) (Equivariant) Chow groups and rings; motives (14C15) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Arcs and motivic integration (14E18)

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