| 書目名稱 | Entropy, Divergence, and Majorization in Classical and Quantum Thermodynamics | | 編輯 | Takahiro Sagawa | | 視頻video | http://file.papertrans.cn/312/311874/311874.mp4 | | 概述 | Presents rigorous proofs of the fundamental properties of entropy-like quantities in a self-contained manner.Gives a unified view of different formulations of modern thermodynamics—stochastic thermody | | 叢書名稱 | SpringerBriefs in Mathematical Physics | | 圖書封面 |  | | 描述 | 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 ther | | 出版日期 | Book 2022 | | 關鍵詞 | Thermalization; Second law of thermodynamics; Fluctuation theorem; Quantum information; Quantum many-bod | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-16-6644-5 | | isbn_softcover | 978-981-16-6643-8 | | isbn_ebook | 978-981-16-6644-5Series ISSN 2197-1757 Series E-ISSN 2197-1765 | | issn_series | 2197-1757 | | copyright | The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2022 |
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