Unlimited

Authorized users

Can lend chapters, not whole ebooks

Entropy, divergence, and majorization in classical and quantum thermodynamics / Takahiro Sagawa.

9789811666445 (electronic bk.)
981166644X (electronic bk.)
9789811666438
9811666431

Singapore : Springer, [2022]

©2022

English

1 online resource : illustrations.

10.1007/978-981-16-6644-5 doi

QC311.2 .S34 2022

536/.70151

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. .

Includes bibliographical references.

Access limited to authorized users.

Online resource; title from PDF title page (SpringerLink, viewed March 31, 2022).

SpringerBriefs in mathematical physics ; v. 16. 2197-1765

Print version: 9789811666438
Entropy, divergence, and majorization in classical and quantum thermodynamics.

Online Resources > Ebooks
All Resources