國立虎尾科技大學 |

Entropy, Divergence, and Majorization in Classical and Quantum Thermodynamics

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Entropy, Divergence, and Majorization in Classical and Quantum Thermodynamics/ by Takahiro Sagawa.
Author:	Sagawa, Takahiro.
Description:	X, 149 p. 11 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mathematical physics. -
Online resource:	https://doi.org/10.1007/978-981-16-6644-5
ISBN:	9789811666445

Entropy, Divergence, and Majorization in Classical and Quantum Thermodynamics
Sagawa, Takahiro.

Entropy, Divergence, and Majorization in Classical and Quantum Thermodynamics[electronic resource] /by Takahiro Sagawa. - 1st ed. 2022. - X, 149 p. 11 illus.online resource. - SpringerBriefs in Mathematical Physics,162197-1765 ;. - SpringerBriefs in Mathematical Physics,8.

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.

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. .

ISBN: 9789811666445

Standard No.: 10.1007/978-981-16-6644-5doiSubjects--Topical Terms:

527831
Mathematical physics.

LC Class. No.: QC19.2-20.85

Dewey Class. No.: 530.15

Entropy, Divergence, and Majorization in Classical and Quantum Thermodynamics
LDR:02990nam a22003975i 4500 001 1091067
003 DE-He213
005 20220715133915.0
007 cr nn 008mamaa
008 221228s2022 si | s |||| 0|eng d
020 $a 9789811666445 $9 978-981-16-6644-5
024 7 $a 10.1007/978-981-16-6644-5 $2 doi
035 $a 978-981-16-6644-5
050 4 $a QC19.2-20.85
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 530.15 $2 23
100 1 $a Sagawa, Takahiro. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1072094
245 1 0 $a Entropy, Divergence, and Majorization in Classical and Quantum Thermodynamics $h [electronic resource] / $c by Takahiro Sagawa.
250 $a 1st ed. 2022.
264 1 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2022.
300 $a X, 149 p. 11 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a SpringerBriefs in Mathematical Physics, $x 2197-1765 ; $v 16
505 0 $a 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.
520 $a 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. .
650 0 $a Mathematical physics. $3 527831
650 0 $a Spintronics. $3 580491
650 0 $a Quantum physics. $3 1179090
650 0 $a System theory. $3 566168
650 1 4 $a Mathematical Physics. $3 786661
650 2 4 $a Quantum Physics. $3 671960
650 2 4 $a Complex Systems. $3 888664
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 768900
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9789811666438
776 0 8 $i Printed edition: $z 9789811666452
830 0 $a SpringerBriefs in Mathematical Physics, $x 2197-1757 ; $v 8 $3 1263793
856 4 0 $u https://doi.org/10.1007/978-981-16-6644-5
912 $a ZDB-2-PHA
912 $a ZDB-2-SXP
950 $a Physics and Astronomy (SpringerNature-11651)
950 $a Physics and Astronomy (R0) (SpringerNature-43715)