Quantum Information Theory and the Foundations of Quantum Mechanics

Quantum Information Theory and the Foundations of Quantum Mechanics
Title Quantum Information Theory and the Foundations of Quantum Mechanics PDF eBook
Author Christopher G. Timpson
Publisher Oxford Philosophical Monograph
Pages 308
Release 2013-04-25
Genre Computers
ISBN 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.

Information Theory and Quantum Physics

Information Theory and Quantum Physics
Title Information Theory and Quantum Physics PDF eBook
Author Herbert S. Green
Publisher Springer Science & Business Media
Pages 248
Release 2012-12-06
Genre Science
ISBN 364257162X

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In this highly readable book, H.S. Green, a former student of Max Born and well known as an author in physics and in the philosophy of science, presents a timely analysis of theoretical physics and related fundamental problems.

Quantum Information Theory

Quantum Information Theory
Title Quantum Information Theory PDF eBook
Author Mark Wilde
Publisher Cambridge University Press
Pages 673
Release 2013-04-18
Genre Computers
ISBN 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.

Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems

Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems
Title Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems PDF eBook
Author Masanori Ohya
Publisher Springer Science & Business Media
Pages 768
Release 2011-01-15
Genre Science
ISBN 9400701713

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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.

Quantum Information Theory and Quantum Statistics

Quantum Information Theory and Quantum Statistics
Title Quantum Information Theory and Quantum Statistics PDF eBook
Author Dénes Petz
Publisher Springer Science & Business Media
Pages 221
Release 2007-10-20
Genre Science
ISBN 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.

Foundations of Quantum Mechanics

Foundations of Quantum Mechanics
Title Foundations of Quantum Mechanics PDF eBook
Author Travis Norsen
Publisher Springer
Pages 316
Release 2017-08-17
Genre Science
ISBN 3319658670

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Authored by an acclaimed teacher of quantum physics and philosophy, this textbook pays special attention to the aspects that many courses sweep under the carpet. Traditional courses in quantum mechanics teach students how to use the quantum formalism to make calculations. But even the best students - indeed, especially the best students - emerge rather confused about what, exactly, the theory says is going on, physically, in microscopic systems. This supplementary textbook is designed to help such students understand that they are not alone in their confusions (luminaries such as Albert Einstein, Erwin Schroedinger, and John Stewart Bell having shared them), to sharpen their understanding of the most important difficulties associated with interpreting quantum theory in a realistic manner, and to introduce them to the most promising attempts to formulate the theory in a way that is physically clear and coherent. The text is accessible to students with at least one semester of prior exposure to quantum (or "modern") physics and includes over a hundred engaging end-of-chapter "Projects" that make the book suitable for either a traditional classroom or for self-study.

Quantum Information Processing with Finite Resources

Quantum Information Processing with Finite Resources
Title Quantum Information Processing with Finite Resources PDF eBook
Author Marco Tomamichel
Publisher Springer
Pages 146
Release 2015-10-14
Genre Science
ISBN 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.