Quantum Information Theory and Quantum Statistics
Quantum Information Theory and Quantum Statistics

Author: Dénes Petz

Publisher: Springer Science & Business Media

Published: 2007-10-20

Total Pages: 221

ISBN-13: 3540746366

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This concise and readable book addresses primarily readers with a background in classical statistical physics and introduces quantum mechanical notions as required. Conceived as a primer to bridge the gap between statistical physics and quantum information, it emphasizes concepts and thorough discussions of the fundamental notions and prepares the reader for deeper studies, not least through a selection of well chosen exercises.

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.

Statistical Structure of Quantum Theory
Statistical Structure of Quantum Theory

Author: Alexander S. Holevo

Publisher: Springer Science & Business Media

Published: 2001-06-20

Total Pages: 189

ISBN-13: 3540420827

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New ideas on the mathematical foundations of quantum mechanics, related to the theory of quantum measurement, as well as the emergence of quantum optics, quantum electronics and optical communications have shown that the statistical structure of quantum mechanics deserves special investigation. In the meantime it has become a mature subject. In this book, the author, himself a leading researcher in this field, surveys the basic principles and results of the theory, concentrating on mathematically precise formulations. Special attention is given to the measurement dynamics. The presentation is pragmatic, concentrating on the ideas and their motivation. For detailed proofs, the readers, researchers and graduate students, are referred to the extensively documented literature.

Quantum Information Processing with Finite Resources
Quantum Information Processing with Finite Resources

Author: Marco Tomamichel

Publisher: Springer

Published: 2015-10-14

Total Pages: 146

ISBN-13: 3319218913

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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.

Quantum Zero-Error Information Theory
Quantum Zero-Error Information Theory

Author: Elloá B. Guedes

Publisher: Springer

Published: 2016-09-02

Total Pages: 205

ISBN-13: 3319427946

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This book aims at presenting the field of Quantum Information Theory in an intuitive, didactic and self-contained way, taking into account several multidisciplinary aspects. Therefore, this books is particularly suited to students and researchers willing to grasp fundamental concepts in Quantum Computation and Quantum Information areas. The field of Quantum Information Theory has increased significantly over the last three decades. Many results from classical information theory were translated and extended to a scenario where quantum effects become important. Most of the results in this area allows for an asymptotically small probability of error to represent and transmit information efficiently. Claude E.Shannon was the first scientist to realize that error-free classical information transmission can be accomplished under certain conditions. More recently, the concept of error-free classical communication was translated to the quantum context. The so-called Quantum Zero-Error Information Theory completes and extends the Shannon Zero-Error Information Theory.

Asymptotic Theory Of Quantum Statistical Inference: Selected Papers
Asymptotic Theory Of Quantum Statistical Inference: Selected Papers

Author: Masahito Hayashi

Publisher: World Scientific

Published: 2005-02-21

Total Pages: 553

ISBN-13: 981448198X

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Quantum statistical inference, a research field with deep roots in the foundations of both quantum physics and mathematical statistics, has made remarkable progress since 1990. In particular, its asymptotic theory has been developed during this period. However, there has hitherto been no book covering this remarkable progress after 1990; the famous textbooks by Holevo and Helstrom deal only with research results in the earlier stage (1960s-1970s).This book presents the important and recent results of quantum statistical inference. It focuses on the asymptotic theory, which is one of the central issues of mathematical statistics and had not been investigated in quantum statistical inference until the early 1980s. It contains outstanding papers after Holevo's textbook, some of which are of great importance but are not available now.The reader is expected to have only elementary mathematical knowledge, and therefore much of the content will be accessible to graduate students as well as research workers in related fields. Introductions to quantum statistical inference have been specially written for the book. Asymptotic Theory of Quantum Statistical Inference: Selected Papers will give the reader a new insight into physics and statistical inference.

The Theory of Quantum Information
The Theory of Quantum Information

Author: John Watrous

Publisher:

Published: 2018-04-26

Total Pages: 599

ISBN-13: 1107180562

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

Quantum Information Theory and the Foundations of Quantum Mechanics
Quantum Information Theory and the Foundations of Quantum Mechanics

Author: Christopher G. Timpson

Publisher: Oxford Philosophical Monograph

Published: 2013-04-25

Total Pages: 308

ISBN-13: 0199296464

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Christopher G. Timpson provides the first full-length philosophical treatment of quantum information theory and the questions it raises for our understanding of the quantum world. He argues for an ontologically deflationary account of the nature of quantum information, which is grounded in a revisionary analysis of the concepts of information.

Quantum Systems, Channels, Information
Quantum Systems, Channels, Information

Author: Alexander S. Holevo

Publisher: Walter de Gruyter

Published: 2012-12-06

Total Pages: 364

ISBN-13: 3110273403

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The main emphasis of this work is the mathematical theory of quantum channels and their entropic and information characteristics. Quantum information theory is one of the key research areas, since it leads the way to vastly increased computing speeds by using quantum systems to store and process information. Quantum cryptography allows for secure communication of classified information. Research in the field of quantum informatics, including quantum information theory, is in progress in leading scientific centers throughout the world. The past years were marked with impressive progress made by several researchers in solution of some difficult problems, in particular, the additivity of the entropy characteristics of quantum channels. This suggests a need for a book that not only introduces the basic concepts of quantum information theory, but also presents in detail some of the latest achievements.

Numerical Recipes in Quantum Information Theory and Quantum Computing
Numerical Recipes in Quantum Information Theory and Quantum Computing

Author: M.S. Ramkarthik

Publisher: CRC Press

Published: 2021-09-12

Total Pages: 424

ISBN-13: 1000423794

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This first of a kind textbook provides computational tools in Fortran 90 that are fundamental to quantum information, quantum computing, linear algebra and one dimensional spin half condensed matter systems. Over 160 subroutines are included, and the numerical recipes are aided by detailed flowcharts. Suitable for beginner and advanced readers alike, students and researchers will find this textbook to be a helpful guide and a compendium. Key Features: Includes 160 subroutines all of which can be used either as a standalone program or integrated with any other main program without any issues. Every parameter in the input, output and execution has been provided while keeping both beginner and advanced users in mind. The output of every program is explained thoroughly with detailed examples. A detailed dependency chart is provided for every recipe.