Entropy, divergence, and majorization in classical and quantum thermodynamics / Takahiro Sagawa.
Sagawa, Takahiro, author.
2022
QC311.2 .S34 2022
Available Online

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Title Entropy, divergence, and majorization in classical and quantum thermodynamics / Takahiro Sagawa.
Author Sagawa, Takahiro, author.
ISBN 9789811666445 (electronic bk.)
981166644X (electronic bk.)
9789811666438
9811666431
DOI https://doi.org/10.1007/978-981-16-6644-5
Published Singapore : Springer, [2022]
Copyright ©2022
Language English
Description 1 online resource : illustrations.
Item Number 10.1007/978-981-16-6644-5 doi
Call Number QC311.2 .S34 2022
Dewey Decimal Classification 536/.70151
Summary 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. .
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed March 31, 2022).
Series SpringerBriefs in mathematical physics ; v. 16. 2197-1765
Available in Other Form Print version: 9789811666438
Entropy, divergence, and majorization in classical and quantum thermodynamics.
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1Introduction
2Classical entropy and divergence
3Classical majorization
4Classical thermodynamics
5Quantum entropy and divergence
6Quantum majorization
7Approximate and asymptotic majorization and divergence
8Quantum thermodynamics
AGeneral quantum divergences and their monotonicity
BHypothesis testing
CClassical asymptotic equipartition properties
References.

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