The Homological Nature of Entropy

The Homological Nature of Entropy

We propose that entropy is a universal co-homological class in a theory associated to a family of observable quantities and a family of probability distributions. Three cases are presented: (1) classical probabilities and random variables; (2) quantum probabilities and observable operators; (3) dyna...

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Bibliographic Details
Main Authors: Pierre Baudot, Daniel Bennequin
Format: Article
Language:English
Published: MDPI AG 2015-05-01
Series:Entropy
Subjects:
Shannon information
homology theory
entropy
quantum information
homotopy of links
mutual informations
Kullback–Leiber divergence
trees
monads
partitions
Online Access:http://www.mdpi.com/1099-4300/17/5/3253

Internet

http://www.mdpi.com/1099-4300/17/5/3253

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