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This largely self-contained book on the theory of quantum information focuses on precise mathematical formulations and proofs of fundamental facts that form the foundation of the subject. It is intended for graduate students and researchers in mathematics, computer science, and theoretical physics seeking to develop a thorough understanding of key results, proof techniques, and methodologies that are relevant to a wide range of research topics within the theory of quantum information and computation. The book is accessible to readers with an understanding of basic mathematics, including linear algebra, mathematical analysis, and probability theory. An introductory chapter summarizes these necessary mathematical prerequisites, and starting from this foundation, the book includes clear and complete proofs of all results it presents. Each subsequent chapter includes challenging exercises intended to help readers to develop their own skills for discovering proofs concerning the theory of quantum information.

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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.

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"Funny, clear, deep, and right on target. [Siegfried] lets us get a handle on ideas that are essential for understanding the evolving world."-K. C. Cole, author of The Universe and the Teacup"An eager, ambitious book. A stimulating, accessible introduction to scientific theory."-Dallas Morning NewsAn award-winning journalist surveys the horizon of a new revolution in scienceEverything in the universe, from the molecules in our bodies to the heart of a black hole, is made up of bits of information. This is the radical idea at the center of the new physics of information, and it is leading to exciting breakthroughs in a vast range of science, including the invention of a new kind of quantum computer, millions of times faster than any computer today. Acclaimed science writer Tom Siegfried offers a lively introduction to the leading scientists and ideas responsible for this exciting new scientific paradigm.

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.

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.

To be “mystical” is defined as “having a spiritual symbolic or allegorical significance that transcends human understanding”. In this ground-breaking book, Eduard Shyfrin (PHD) shows that the ideas of Jewish mysticism (Kabbalah) also resonate with the ideas of 21st century science. Shyfrin explains Kabbalistic ideas with the support of information theory and quantum physicsEqually, the riddles of modern science are explained with the help of Kabbalah. For ease of reading, brief introductions to Kabbalah, to the theory of information and to quantum physics are provided. This is a book about creation and the role of man in it, divine providence, miracles, good, evil and the soul.

reprint edition. 293 pages. 9.00x6.00x0.50 inches. In Stock.

To be “mystical” is defined as “having a spiritual symbolic or allegorical significance that transcends human understanding”. In this ground-breaking book, Eduard Shyfrin (PHD) shows that the ideas of Jewish mysticism (Kabbalah) also resonate with the ideas of 21st century science. Shyfrin explains Kabbalistic ideas with the support of information theory and quantum physicsEqually, the riddles of modern science are explained with the help of Kabbalah. For ease of reading, brief introductions to Kabbalah, to the theory of information and to quantum physics are provided. This is a book about creation and the role of man in it, divine providence, miracles, good, evil and the soul.

The quest to build a quantum computer is arguably one of the major scientific and technological challenges of the twenty-first century, and quantum information theory (QIT) provides the mathematical framework for that quest. Over the last dozen or so years, it has become clear that quantum information theory is closely linked to geometric functional analysis (Banach space theory, operator spaces, high-dimensional probability), a field also known as asymptotic geometric analysis (AGA). In a nutshell, asymptotic geometric analysis investigates quantitative properties of convex sets, or other geometric structures, and their approximate symmetries as the dimension becomes large. This makes it especially relevant to quantum theory, where systems consisting of just a few particles naturally lead to models whose dimension is in the thousands, or even in the billions. Alice and Bob Meet Banach is aimed at multiple audiences connected through their interest in the interface of QIT and AGA: at quantum information researchers who want to learn AGA or apply its tools; at mathematicians interested in learning QIT, especially the part that is relevant to functional analysis/convex geometry/random matrix theory and related areas; and at beginning researchers in either field. Moreover, this user-friendly book contains numerous tables and explicit estimates, with reasonable constants when possible, which make it a useful reference even for established mathematicians generally familiar with the subject.

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This largely self-contained book on the theory of quantum information focuses on precise mathematical formulations and proofs of fundamental facts that form the foundation of the subject. It is intended for graduate students and researchers in mathematics, computer science, and theoretical physics seeking to develop a thorough understanding of key results, proof techniques, and methodologies that are relevant to a wide range of research topics within the theory of quantum information and computation. The book is accessible to readers with an understanding of basic mathematics, including linear algebra, mathematical analysis, and probability theory. An introductory chapter summarizes these necessary mathematical prerequisites, and starting from this foundation, the book includes clear and complete proofs of all results it presents. Each subsequent chapter includes challenging exercises intended to help readers to develop their own skills for discovering proofs concerning the theory of quantum information.

In the spring of 2011, a diverse group of scientists gathered at Cornell University to discuss their research into the nature and origin of biological information. This symposium brought together experts in information theory, computer science, numerical simulation, thermodynamics, evolutionary theory, whole organism biology, developmental biology, molecular biology, genetics, physics, biophysics, mathematics, and linguistics. This volume presents new research by those invited to speak at the conference.The contributors to this volume use their wide-ranging expertise in the area of biological information to bring fresh insights into the many explanatory difficulties associated with biological information. These authors raise major challenges to the conventional scientific wisdom, which attempts to explain all biological information exclusively in terms of the standard mutation/selection paradigm.Several clear themes emerged from these research papers: 1) Information is indispensable to our understanding of what life is; 2) Biological information is more than the material structures that embody it; 3) Conventional chemical and evolutionary mechanisms seem insufficient to fully explain the labyrinth of information that is life. By exploring new perspectives on biological information, this volume seeks to expand, encourage, and enrich research into the nature and origin of biological information.

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Can recent developments in thermodynamics and information theory offer a way out of the current crisis in evolutionary theory? One of the most exciting and controversial areas of scientific research in recent years has been the application of the principles of nonequilibrium thermodynamics to the problems of the physical evolution of the universe, the origins of life, the structure and succession of ecological systems, and biological evolution. These sixteen original essays by evolutionists, ecologists, molecular biologists, physical chemists, physicists, and philosophers of science provide the best current summary of this developing research program. Chapters in the book's first part - by Steven Frautschi, David Layser, and Dilip Kondoputi - explore the application of the second law of thermodynamics to physical evolution and the origins of life. Those in the second part - by Lionel G. Harrison, Lionel Johnson, Eric D. Schneider, and Jeffrey S. Wicken - take up the thermodynamics of ecology and evolution; Johnson and Wicken criticize neoDarwinian orthodoxy and present alternative theories relating thermodynamics to evolutionary ecology. In the book's third section, E. O. Wiley defends the theory that phylogenetic evolution may be predicted from a general version of the second law reformulated in terms of information theory, and Daniel R. Brooks, D. David Cumming, and Paul H. LeBlond also defend that controversial theory. The book concludes with a series of essays that evaluate these contributions and point out their implications for biology, philosophy, and the social sciences. The editors are all professors at California State University, Fullerton. Bruce H. Weber teaches chemistry and biochemistry, David J. Depew teaches philosophy, and James D. Smith teaches zoology. A Bradford Book.

Physics and engineering departments are building research programs in biological physics, but until now there has not been a synthesis of this dynamic field at the undergraduate level. Biological Physics focuses on new results in molecular motors, self-assembly, and single-molecule manipulation that have revolutionized the field in recent years, and integrates these topics with classical results. The text also provides foundational material for the emerging field of nanotechnology. The text is built around a self-contained core geared toward undergraduate students who have had one year of calculus-based physics. Additional "Track-2" sections contain more advanced material for senior physics majors and graduate students.