Entropy and Information Optics

Entropy and Information Optics

Author: Francis T.S. Yu

Publisher: CRC Press

Published: 2000-03-17

Total Pages: 372

ISBN-13: 9780824703639

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"Identifies the relationship between entropy and information optics as the impetus for the research and development of high-speed, high-data-rate, and high-capacity communication systems. Examines computing, pattern recognition, and wavelet transformation."


Entropy and Information Optics

Entropy and Information Optics

Author: Francis T.S. Yu

Publisher: CRC Press

Published: 2017-11-28

Total Pages: 196

ISBN-13: 1351370146

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This book shows there is a profound connection between information and entropy. Without this connection, information would be more difficult to apply to science. This book covers the connection and the application to modern optics and radar imaging. It shows that there exists a profound relationship between Einstein’s relativity theory and Schröinger’s quantum mechanics, by means of the uncertainty principle. In due of the uncertainty relation, this book shows that every bit of information takes time and energy to transfer, to create and to observe. The new edition contains 3 new chapters on radar imaging with optics, science in the myth of information, and time and the enigma of space.


Introduction to Information Optics

Introduction to Information Optics

Author: Francis T.S. Yu

Publisher: Elsevier

Published: 2001-09-12

Total Pages: 749

ISBN-13: 0080509290

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While there are books treating individual topics contained in this book, this will be the first single volume providing a cohesive treatment on this subject as a whole. This goes beyond optical communications in that it includes related topics such as sensing, displays, computing, and data storage.


Maximum Entropy, Information Without Probability and Complex Fractals

Maximum Entropy, Information Without Probability and Complex Fractals

Author: Guy Jumarie

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 287

ISBN-13: 9401594961

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Every thought is a throw of dice. Stephane Mallarme This book is the last one of a trilogy which reports a part of our research work over nearly thirty years (we discard our non-conventional results in automatic control theory and applications on the one hand, and fuzzy sets on the other), and its main key words are Information Theory, Entropy, Maximum Entropy Principle, Linguistics, Thermodynamics, Quantum Mechanics, Fractals, Fractional Brownian Motion, Stochastic Differential Equations of Order n, Stochastic Optimal Control, Computer Vision. Our obsession has been always the same: Shannon's information theory should play a basic role in the foundations of sciences, but subject to the condition that it be suitably generalized to allow us to deal with problems which are not necessarily related to communication engineering. With this objective in mind, two questions are of utmost importance: (i) How can we introduce meaning or significance of information in Shannon's information theory? (ii) How can we define and/or measure the amount of information involved in a form or a pattern without using a probabilistic scheme? It is obligatory to find suitable answers to these problems if we want to apply Shannon's theory to science with some chance of success. For instance, its use in biology has been very disappointing, for the very reason that the meaning of information is there of basic importance, and is not involved in this approach.


An Introduction to Transfer Entropy

An Introduction to Transfer Entropy

Author: Terry Bossomaier

Publisher: Springer

Published: 2016-11-15

Total Pages: 210

ISBN-13: 3319432222

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This book considers a relatively new metric in complex systems, transfer entropy, derived from a series of measurements, usually a time series. After a qualitative introduction and a chapter that explains the key ideas from statistics required to understand the text, the authors then present information theory and transfer entropy in depth. A key feature of the approach is the authors' work to show the relationship between information flow and complexity. The later chapters demonstrate information transfer in canonical systems, and applications, for example in neuroscience and in finance. The book will be of value to advanced undergraduate and graduate students and researchers in the areas of computer science, neuroscience, physics, and engineering.


Quantum Information Theory

Quantum Information Theory

Author: Mark Wilde

Publisher: Cambridge University Press

Published: 2013-04-18

Total Pages: 673

ISBN-13: 1107034256

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A self-contained, graduate-level textbook that develops from scratch classical results as well as advances of the past decade.


Entropy and Information Theory

Entropy and Information Theory

Author: Robert M. Gray

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 346

ISBN-13: 1475739826

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This book is devoted to the theory of probabilistic information measures and their application to coding theorems for information sources and noisy channels. The eventual goal is a general development of Shannon's mathematical theory of communication, but much of the space is devoted to the tools and methods required to prove the Shannon coding theorems. These tools form an area common to ergodic theory and information theory and comprise several quantitative notions of the information in random variables, random processes, and dynamical systems. Examples are entropy, mutual information, conditional entropy, conditional information, and discrimination or relative entropy, along with the limiting normalized versions of these quantities such as entropy rate and information rate. Much of the book is concerned with their properties, especially the long term asymptotic behavior of sample information and expected information. This is the only up-to-date treatment of traditional information theory emphasizing ergodic theory.


Quantum Entropy and Its Use

Quantum Entropy and Its Use

Author: M. Ohya

Publisher: Springer Science & Business Media

Published: 2004-03-24

Total Pages: 368

ISBN-13: 9783540208068

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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.


Advances in Quantum Communication and Information

Advances in Quantum Communication and Information

Author: Francisco Bulnes

Publisher: BoD – Books on Demand

Published: 2020-02-26

Total Pages: 178

ISBN-13: 1789852676

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Research in quantum communication requires knowledge of the information theory and teleportation of information in any physical form using the quantum field as media of all different processes and aspects on the managing of their information, their boson processing and their technologies. Likewise, one of the most important principles in researching is the quantum intertwining to define the management of communication of the quantum type. Other aspects related to the design of technologies to the quantum communication base and their development on transceptor models of Bose-Einstein observation nature to form a quantum laser wave of atoms. This quantum wave is a wave-links chain that defines and determines the quantum communication. Quantum computing models are very useful to establish the programming order required in the quantum communication processes. The present book is a compilation of the chapters that cover several of these themes and in other cases, put the field theories to test regarding what is quantum communication and its technologies.