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Entropy And The Quantum

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Quantum Entropy And Its Use

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Author : M. Ohya
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-03-24

Quantum Entropy And Its Use written by M. Ohya and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-24 with Science categories.

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.

Quantum Thermodynamics

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Author : Jochen Gemmer
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-21

Quantum Thermodynamics written by Jochen Gemmer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-21 with Science categories.

Over the years enormous effort was invested in proving ergodicity, but for a number of reasons, con?dence in the fruitfulness of this approach has waned. — Y. Ben-Menahem and I. Pitowsky [1] Abstract The basic motivation behind the present text is threefold: To give a new explanation for the emergence of thermodynamics, to investigate the interplay between quantum mechanics and thermodynamics, and to explore possible ext- sions of the common validity range of thermodynamics. Originally, thermodynamics has been a purely phenomenological science. Early s- entists (Galileo, Santorio, Celsius, Fahrenheit) tried to give de?nitions for quantities which were intuitively obvious to the observer, like pressure or temperature, and studied their interconnections. The idea that these phenomena might be linked to other ?elds of physics, like classical mechanics, e.g., was not common in those days. Such a connection was basically introduced when Joule calculated the heat equ- alent in 1840 showing that heat was a form of energy, just like kinetic or potential energy in the theory of mechanics. At the end of the 19th century, when the atomic theory became popular, researchers began to think of a gas as a huge amount of bouncing balls inside a box.

Holographic Entanglement Entropy

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Author : Mukund Rangamani
language : en
Publisher: Springer
Release Date : 2017-05-08

Holographic Entanglement Entropy written by Mukund Rangamani and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-08 with Science categories.

This book provides a comprehensive overview of developments in the field of holographic entanglement entropy. Within the context of the AdS/CFT correspondence, it is shown how quantum entanglement is computed by the area of certain extremal surfaces. The general lessons one can learn from this connection are drawn out for quantum field theories, many-body physics, and quantum gravity. An overview of the necessary background material is provided together with a flavor of the exciting open questions that are currently being discussed. The book is divided into four main parts. In the first part, the concept of entanglement, and methods for computing it, in quantum field theories is reviewed. In the second part, an overview of the AdS/CFT correspondence is given and the holographic entanglement entropy prescription is explained. In the third part, the time-dependence of entanglement entropy in out-of-equilibrium systems, and applications to many body physics are explored using holographic methods. The last part focuses on the connection between entanglement and geometry. Known constraints on the holographic map, as well as, elaboration of entanglement being a fundamental building block of geometry are explained. The book is a useful resource for researchers and graduate students interested in string theory and holography, condensed matter and quantum information, as it tries to connect these different subjects linked by the common theme of quantum entanglement.

Thermodynamics In The Quantum Regime

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Author : Felix Binder
language : en
Publisher: Springer
Release Date : 2019-04-11

Thermodynamics In The Quantum Regime written by Felix Binder and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-11 with Science categories.

Quantum Thermodynamics is a novel research field which explores the emergence of thermodynamics from quantum theory and addresses thermodynamic phenomena which appear in finite-size, non-equilibrium and finite-time contexts. Blending together elements from open quantum systems, statistical mechanics, quantum many-body physics, and quantum information theory, it pinpoints thermodynamic advantages and barriers emerging from genuinely quantum properties such as quantum coherence and correlations. Owing to recent experimental efforts, the field is moving quickly towards practical applications, such as nano-scale heat devices, or thermodynamically optimised protocols for emergent quantum technologies. Starting from the basics, the present volume reviews some of the most recent developments, as well as some of the most important open problems in quantum thermodynamics. The self-contained chapters provide concise and topical introductions to researchers who are new to the field. Experts will find them useful as a reference for the current state-of-the-art. In six sections the book covers topics such as quantum heat engines and refrigerators, fluctuation theorems, the emergence of thermodynamic equilibrium, thermodynamics of strongly coupled systems, as well as various information theoretic approaches including Landauer's principle and thermal operations. It concludes with a section dedicated to recent quantum thermodynamics experiments and experimental prospects on a variety of platforms ranging from cold atoms to photonic systems, and NV centres.

Statistical Mechanics And Scientific Explanation Determinism Indeterminism And Laws Of Nature

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Author : Valia Allori
language : en
Publisher: World Scientific
Release Date : 2020-04-22

Statistical Mechanics And Scientific Explanation Determinism Indeterminism And Laws Of Nature written by Valia Allori and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-22 with Science categories.

The book explores several open questions in the philosophy and the foundations of statistical mechanics. Each chapter is written by a leading expert in philosophy of physics and/or mathematical physics. Here is a list of questions that are addressed in the book:

The Theory Of Quantum Information

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Author : John Watrous
language : en
Publisher:
Release Date : 2018-04-26

The Theory Of Quantum Information written by John Watrous and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-26 with Computers categories.

Formal development of the mathematical theory of quantum information with clear proofs and exercises. For graduate students and researchers.

Maxwell S Demon 2 Entropy Classical And Quantum Information Computing

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Author : Harvey Leff
language : en
Publisher: CRC Press
Release Date : 2002-12-13

Maxwell S Demon 2 Entropy Classical And Quantum Information Computing written by Harvey Leff and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-13 with Mathematics categories.

Over 130 years ago, James Clerk Maxwell introduced his hypothetical "demon" as a challenge to the scope of the second law of thermodynamics. Fascination with the demon persisted throughout the development of statistical and quantum physics, information theory, and computer science, and links have been established between Maxwell's demon and each of

Quantum Entropy And Its Use

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Author : M. Ohya
language : en
Publisher: Springer
Release Date : 2004-04-06

Quantum Entropy And Its Use written by M. Ohya and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-06 with Science categories.

Entropy In Foundations Of Quantum Physics

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Author : Marcin Pawłowski
language : en
Publisher: MDPI
Release Date : 2020-12-15

Entropy In Foundations Of Quantum Physics written by Marcin Pawłowski and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-15 with Computers categories.

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 And The Quantum

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