Results 21 to 30 of about 16,524,402 (288)

Information geometry and holographic correlators

open access: yesJournal of High Energy Physics, 2022
We explore perturbative corrections to quantum information geometry. In particular, we study a Bures information metric naturally associated with the correlation functions of a conformal field theory.
Hardik Bohra   +2 more
doaj   +1 more source

Biology, geometry and information [PDF]

open access: yesTheory in Biosciences, 2021
AbstractThe main thesis developed in this article is that the key feature of biological life is the a biological process can control and regulate other processes, and it maintains that ability over time. This control can happen hierarchically and/or reciprocally, and it takes place in three-dimensional space.
openaire   +4 more sources

Towards a Canonical Divergence within Information Geometry

open access: yes, 2021
In Riemannian geometry geodesics are integral curves of the Riemannian distance gradient. We extend this classical result to the framework of Information Geometry.
Ay, Nihat, Felice, Domenico
core   +2 more sources

Information Geometry, Jordan Algebras, and a Coadjoint Orbit-Like Construction [PDF]

open access: yes, 2023
Jordan algebras arise naturally in (quantum) information geometry, and we want to understand their role and their structure within that framework. Inspired by Kirillov's discussion of the symplectic structure on coadjoint orbits, we provide a similar ...
Schwachhöfer, Lorenz J.   +7 more
core   +1 more source

F‐Manifolds and geometry of information [PDF]

open access: yesBulletin of the London Mathematical Society, 2020
The theory of $F$-manifolds, and more generally, manifolds endowed with commutative and associative multiplication of their tangent fields, was discovered and formalised in various models of quantum field theory involving algebraic and analytic geometry, at least since 1990's. The focus of this paper consists in the demonstration that various spaces of
Combe , N., Manin, Y.
openaire   +5 more sources

Information Geometry for the Working Information Theorist

open access: yesCoRR, 2023
12 pages, 3 figures, 1 ...
Kumar Vijay Mishra   +2 more
openaire   +3 more sources

Quantum information geometry of driven CFTs

open access: yesJournal of High Energy Physics, 2023
Driven quantum systems exhibit a large variety of interesting and sometimes exotic phenomena. Of particular interest are driven conformal field theories (CFTs) which describe quantum many-body systems at criticality.
Jan de Boer   +3 more
doaj   +1 more source

Stochastic Chaos and Markov Blankets

open access: yesEntropy, 2021
In this treatment of random dynamical systems, we consider the existence—and identification—of conditional independencies at nonequilibrium steady-state.
Karl Friston   +4 more
doaj   +1 more source

Geometry of information: Classical and quantum aspects [PDF]

open access: yesTheoretical Computer Science, 2022
In this article, we describe various aspects of categorification of the structures appearing in information theory. These aspects include probabilistic models both of classical and quantum physics, emergence of F-manifolds, and motivic enrichments.
Noemie Combe   +2 more
openaire   +6 more sources

Subband Information Geometry Detection Method Based on Orthogonal Projection for Weak Radar Targets

open access: yesLeida xuebao, 2023
Herein, a novel and effective method for detecting radar targets with a low signal-to-clutter ratio is proposed based on the information geometry theory.
Zheng YANG   +4 more
doaj   +1 more source

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