Quantal effects and MaxEnt

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jul 2012Embargo end date: 01 Jan 2011 Argentina English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 53 (issn: 0022-2488, eissn: 1089-7658,

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Authors: Holik, Federico Hernán; Plastino, Ángel Luis;

doi: 10.1063/1.4731769 , 10.48550/arxiv.1111.1364

arXiv: 1111.1364

handle: 10261/79208 , 11336/74539

Quantal effects and MaxEnt

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Abstract

Convex operational models (COMs) are considered as great extrapolations to larger settings of any statistical theory. In this article, we generalize the maximum entropy principle (MaxEnt) of Jaynes’ to any COM. After expressing MaxEnt in a geometrical and lattice theoretical setting, we are able to cast it for any COM. This scope-amplification opens the door to a new systematization of the principle and sheds light into its geometrical structure.

Country

Argentina

Related Organizations

Spanish National Research Council
Spain
National University of La Plata
Argentina
National Scientific and Technical Research Council
Argentina
University of the Balearic Islands
Spain
University of Granada
Spain

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Keywords

Quantum Physics, Effects, Measures of information, entropy, Convex sets in topological linear spaces; Choquet theory, Física, FOS: Physical sciences, MAXENT, Foundations of equilibrium statistical mechanics, Statistical, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Quantum, STATISTICAL, maximum entropy principle, https://purl.org/becyt/ford/1.3, EFFECTS, Quantum equilibrium statistical mechanics (general), Maxent, Classical equilibrium statistical mechanics (general), https://purl.org/becyt/ford/1, Quantum Physics (quant-ph), QUANTUM

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