Editors:
- Provides a comprehensive review of thermodynamics and information theory
- Introduces to Jarzynski's equality and Crooks' relation
- Includes a unique primer on Shannon's entropy and information theory
- Covers fundamental experiments on Maxwell's Demon and Landauer's principle
- Offers an in-depth review of the rapidly expanding field of quantum computing quantum cryptography and verification
Part of the book series: Progress in Mathematical Physics (PMP, volume 78)
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About this book
This eighteenth volume in the Poincaré Seminar Series provides a thorough description of Information Theory and some of its most active areas, in particular, its relation to thermodynamics at the nanoscale and the Maxwell Demon, and the emergence of quantum computation and of its counterpart, quantum verification. It also includes two introductory tutorials, one on the fundamental relation between thermodynamics and information theory, and a primer on Shannon's entropy and information theory. The book offers a unique and manifold perspective on recent mathematical and physical developments in this field.
Keywords
- Shannon entropy
- Quantum computing
- Statistical Physics
- Source and channel coding theorems
- Stochastic thermodynamics
- information and entropy power inequalities
- Shannon's capacity formula
- Jarzynski's Identity
- Maxwell's demon
- Brownian motion and micro systems
- quantum cryptography
- quantum verification and testing
- Second Law of Thermodynamics
- Crooks' relation
- Landauer's principle
Editors and Affiliations
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Institut de Physique Théorique, Université Paris-Saclay, CNRS, CEA, Gif-sur-Yvette Cedex, France
Bertrand Duplantier
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Laboratoire de Physique Théorique, Université Paris-Saclay, CNRS, Université Paris-Sud, Orsay, France
Vincent Rivasseau
About the editors
Together they have founded the Poincaré Seminar in 2001, and published its proceedings in 18 books with Birkhaeuser-Science.
Bibliographic Information
Book Title: Information Theory
Book Subtitle: Poincaré Seminar 2018
Editors: Bertrand Duplantier, Vincent Rivasseau
Series Title: Progress in Mathematical Physics
DOI: https://doi.org/10.1007/978-3-030-81480-9
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-81479-3Published: 20 July 2021
Softcover ISBN: 978-3-030-81482-3Published: 21 July 2022
eBook ISBN: 978-3-030-81480-9Published: 19 July 2021
Series ISSN: 1544-9998
Series E-ISSN: 2197-1846
Edition Number: 1
Number of Pages: XII, 209
Number of Illustrations: 56 b/w illustrations
Topics: Mathematical Methods in Physics, Theoretical, Mathematical and Computational Physics, Quantum Computing, Coding and Information Theory, Quantum Physics