Mathematical Foundations Of Information Theory

Author : Aleksandr I?Akovlevich Khinchin
Publisher : Courier Corporation
ISBN 13 : 0486604349
Total Pages : 130 pages
Book Rating : 4.43/5 ( download)

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Download or read book Mathematical Foundations of Information Theory written by Aleksandr I?Akovlevich Khinchin and published by Courier Corporation. This book was released on 1957-01-01 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other subjects. 1957 edition.

Author : A. I. Khinchin
Publisher :
ISBN 13 :
Total Pages : 120 pages
Book Rating : 4.17/5 ( download)

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Download or read book Mathematical Foundations of Information Theory written by A. I. Khinchin and published by . This book was released on 1980 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : A. Ya. Khinchin
Publisher : Courier Corporation
ISBN 13 : 0486318443
Total Pages : 130 pages
Book Rating : 4.48/5 ( download)

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Download or read book Mathematical Foundations of Information Theory written by A. Ya. Khinchin and published by Courier Corporation. This book was released on 2013-04-09 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other subjects. 1957 edition.

Author : Mark M. Wilde
Publisher : Cambridge University Press
ISBN 13 : 1316813304
Total Pages : 1020 pages
Book Rating : 4.00/5 ( download)

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Download or read book Quantum Information Theory written by Mark M. Wilde and published by Cambridge University Press. This book was released on 2017-02-06 with total page 1020 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developing many of the major, exciting, pre- and post-millennium developments from the ground up, this book is an ideal entry point for graduate students into quantum information theory. Significant attention is given to quantum mechanics for quantum information theory, and careful studies of the important protocols of teleportation, superdense coding, and entanglement distribution are presented. In this new edition, readers can expect to find over 100 pages of new material, including detailed discussions of Bell's theorem, the CHSH game, Tsirelson's theorem, the axiomatic approach to quantum channels, the definition of the diamond norm and its interpretation, and a proof of the Choi–Kraus theorem. Discussion of the importance of the quantum dynamic capacity formula has been completely revised, and many new exercises and references have been added. This new edition will be welcomed by the upcoming generation of quantum information theorists and the already established community of classical information theorists.

Author : Marco Tomamichel
Publisher : Springer
ISBN 13 : 3319218913
Total Pages : 138 pages
Book Rating : 4.15/5 ( download)

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Download or read book Quantum Information Processing with Finite Resources written by Marco Tomamichel and published by Springer. This book was released on 2015-10-14 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with the mathematical framework required to fully explore the potential of small quantum information processing devices. As decoherence will continue to limit their size, it is essential to master the conceptual tools which make such investigations possible. A strong emphasis is given to information measures that are essential for the study of devices of finite size, including Rényi entropies and smooth entropies. The presentation is self-contained and includes rigorous and concise proofs of the most important properties of these measures. The first chapters will introduce the formalism of quantum mechanics, with particular emphasis on norms and metrics for quantum states. This is necessary to explore quantum generalizations of Rényi divergence and conditional entropy, information measures that lie at the core of information theory. The smooth entropy framework is discussed next and provides a natural means to lift many arguments from information theory to the quantum setting. Finally selected applications of the theory to statistics and cryptography are discussed. The book is aimed at graduate students in Physics and Information Theory. Mathematical fluency is necessary, but no prior knowledge of quantum theory is required.

Author : Masanori Ohya
Publisher : Springer Science & Business Media
ISBN 13 : 9400701713
Total Pages : 768 pages
Book Rating : 4.17/5 ( download)

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Download or read book Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems written by Masanori Ohya and published by Springer Science & Business Media. This book was released on 2011-01-15 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a mathematical foundation to the theory of quantum information and computation, with applications to various open systems including nano and bio systems. It includes introductory material on algorithm, functional analysis, probability theory, information theory, quantum mechanics and quantum field theory. Apart from standard material on quantum information like quantum algorithm and teleportation, the authors discuss findings on the theory of entropy in C*-dynamical systems, space-time dependence of quantum entangled states, entangling operators, adaptive dynamics, relativistic quantum information, and a new paradigm for quantum computation beyond the usual quantum Turing machine. Also, some important applications of information theory to genetics and life sciences, as well as recent experimental and theoretical discoveries in quantum photosynthesis are described.

Author : S. Dominich
Publisher : Springer Science & Business Media
ISBN 13 : 9401007527
Total Pages : 300 pages
Book Rating : 4.28/5 ( download)

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Download or read book Mathematical Foundations of Information Retrieval written by S. Dominich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive and consistent mathematical approach to information retrieval (IR) without which no implementation is possible, and sheds an entirely new light upon the structure of IR models. It contains the descriptions of all IR models in a unified formal style and language, along with examples for each, thus offering a comprehensive overview of them. The book also creates mathematical foundations and a consistent mathematical theory (including all mathematical results achieved so far) of IR as a stand-alone mathematical discipline, which thus can be read and taught independently. Also, the book contains all necessary mathematical knowledge on which IR relies, to help the reader avoid searching different sources. Audience: The book will be of interest to computer or information scientists, librarians, mathematicians, undergraduate students and researchers whose work involves information retrieval.

Author : Claude E Shannon
Publisher : University of Illinois Press
ISBN 13 : 025209803X
Total Pages : 144 pages
Book Rating : 4.31/5 ( download)

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Download or read book The Mathematical Theory of Communication written by Claude E Shannon and published by University of Illinois Press. This book was released on 1998-09-01 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.

Author : A. Y. Khintchine
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.78/5 ( download)

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Download or read book Mathematical Foundations of Information Theory written by A. Y. Khintchine and published by . This book was released on 1957 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Stanford Goldman
Publisher : Courier Dover Publications
ISBN 13 : 9780486442716
Total Pages : 0 pages
Book Rating : 4.13/5 ( download)

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Download or read book Information Theory written by Stanford Goldman and published by Courier Dover Publications. This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory treatment coversinformation theory of discrete systems, continuous signals, ergodic ensembles, entropy of continuous distributions, modulation and noise reduction, much more. Numerous problems, many with complete solutions. 1953 edition. "