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Entropy, Divergence, and Majorization in Classical and Quantum Thermodynamics



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Éditeur :

Springer


Paru le : 2022-03-23



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Description

Rich information-theoretic structure in out-of-equilibrium thermodynamics exists in both the classical and quantum regimes, leading to the fruitful interplay among statistical physics, quantum information theory, and mathematical theories such as matrix analysis and asymptotic probability theory. The main purpose of this book is to clarify how information theory works behind thermodynamics and to shed modern light on it.


The book focuses on both purely information-theoretic concepts and their physical implications. From the mathematical point of view, rigorous proofs of fundamental properties of entropies, divergences, and majorization are presented in a self-contained manner. From the physics perspective, modern formulations of thermodynamics are discussed, with a focus on stochastic thermodynamics and resource theory of thermodynamics. In particular, resource theory is a recently developed field as a branch of quantum information theory to quantify “useful resources” and has an intrinsic connection to various fundamental ideas of mathematics and information theory. This book serves as a concise introduction to important ingredients of the information-theoretic formulation of thermodynamics. 
Pages
149 pages
Collection
n.c
Parution
2022-03-23
Marque
Springer
EAN papier
9789811666438
EAN PDF
9789811666445
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
14
Taille du fichier
2365 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
69,54 €
EAN EPUB
9789811666445
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
14
Taille du fichier
10506 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
69,54 €

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