Entropy, Divergence, and Majorization in Classical and Quantum Thermodynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Entropy, Divergence, and Majorization in Classical and Quantum Thermodynamics write by Takahiro Sagawa. This book was released on 2022-03-23. Entropy, Divergence, and Majorization in Classical and Quantum Thermodynamics available in PDF, EPUB and Kindle. 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.
Quantum Entropy and Its Use
Quantum Entropy and Its Use - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Entropy and Its Use write by M. Ohya. This book was released on 2004-03-24. Quantum Entropy and Its Use available in PDF, EPUB and Kindle. Numerous fundamental properties of quantum information measurement are developed, including the von Neumann entropy of a statistical operator and its limiting normalized version, the entropy rate. Use of quantum-entropy quantities is made in perturbation theory, central limit theorems, thermodynamics of spin systems, entropic uncertainty relations, and optical communication. This new softcover corrected reprint contains summaries of recent developments added to the ends of the chapters.
Entropy Beyond the Second Law
Entropy Beyond the Second Law - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Entropy Beyond the Second Law write by Phil Attard. This book was released on 2018. Entropy Beyond the Second Law available in PDF, EPUB and Kindle. "Entropy Beyond the Second Law presents a coherent formulation of all aspects of thermodynamics and statistical mechanics with entropy as the unifying theme. This includes formulating equilibrium theory and explaining the role of the Second Law in establishing the equilibrium state. It also establishes the foundations of non-equilibrium theory by generalizing the concept of entropy in an appropriate way. Finally, it addresses the relationship between classical and quantum statistical mechanics by invoking the collapse of the wave function into entropy states. A secondary purpose is to increase the understanding of entropy and the Second Law, and to correct misapprehensions and errors that have arisen over the years." -- Prové de l'editor.
Entropy in Foundations of Quantum Physics
Entropy in Foundations of Quantum Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Entropy in Foundations of Quantum Physics write by Marcin Pawłowski. This book was released on 2020-12-15. Entropy in Foundations of Quantum Physics available in PDF, EPUB and Kindle. This book is a collection of outstanding papers on various aspects of entropy at the foundation of quantum physics. The covered topics range from purely foundational issues such as contextuality and Bell and Leggett–Garg inequalities to applications such as quantum key distribution, teleportation, and image encoding. The main ingredient binding them together in this book is that in all of the contained papers, entropy plays a key role either as a mathematical tool or as a link which bridges the gap between different fields of science.
Entropy
Entropy - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Entropy write by Andreas Greven. This book was released on 2014-09-08. Entropy available in PDF, EPUB and Kindle. The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding.
