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Quantum Processes Systems, and Information
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Table of Contents

1. Bits and quanta; 2. Qubits; 3. States and observables; 4. Distinguishability and information; 5. Quantum dynamics; 6. Entanglement; 7. Information and ebits; 8. Density operators; 9. Open systems; 10. A particle in space; 11. Dynamics of a free particle; 12. Spin and rotation; 13. Ladder systems; 14. Many particles; 15. Stationary states in 1-D; 16. Bound states in 3-D; 17. Perturbation theory; 18. Quantum information processing; 19. Classical and quantum entropy; 20. Error correction; Appendixes; Index.

Promotional Information

A new and exciting approach to the basics of quantum theory for undergraduate courses.

About the Author

Benjamin Schumacher is Professor of Physics at Kenyon College. He coined the term 'qubit' and invented quantum data compression, among other contributions to quantum information theory. Michael D. Westmoreland is Professor of Mathematics at Denison University. Trained as an algebraist, for many years he has researched nonstandard logics, models of computation, and quantum information theory.

Reviews

'This is a fantastic book, with one of the authors no less than the very inventor of the word and idea of a qubit. When I opened the book for the first time, I found I couldn't stop reading through it and working out some of the problems. ... There's no book out there I would recommend more for learning the mechanics of this quantum world.' Chris Fuchs, Perimeter Institute for Theoretical Physics
'One of the most original and insightful introductions to quantum mechanics ever written, this book is also an excellent introduction to the emerging field of quantum information science.' Michael Nielsen, co-author of Quantum Computation and Quantum Information
'This superb new book by Ben Schumacher and Mike Westmoreland is perfectly suited for a modern undergraduate course on quantum mechanics that emphasizes fundamental notions from quantum information science, such as entanglement, Bell's theorem, quantum teleportation, quantum cryptography, and quantum error correction. The authors, who are themselves important contributors to the subject, have complete mastery of the material, and they write clearly and engagingly.' John Preskill, California Institute of Technology
'This is a wonderful book! It covers the usual topics of a first course in quantum mechanics and much more, and it does so with an unusual conceptual depth. The inclusion of information theoretic ideas not only enriches the presentation of the basic theory - for example in helping to articulate the conditions under which quantum coherence is lost - it also opens up the large area of physics in which both quantum mechanical and information theoretic concepts play central roles.' William K. Wootters, Williams College
'With its comprehensive presentation of both quantum mechanics and QIC, this book, written by two pioneers of this emerging new approach to computing, is really one of a kind ... Most concepts that one would find in traditional nonrelativistic quantum mechanics physics books are presented in a clear and well thought-out manner (but be prepared for a bit more work when dealing with subtle notions such as quantum relative entropy or mutual information) ... The brilliant pedagogical approach taken by the authors, who are able to present quite abstract notions using a clear and sprightly style, together with the quality of the editing ... will provide both students and researchers interested in the growing field of QIC with a pleasant and informative read.' Computing Reviews
'... a very impressive piece of work. It has clearly been refined over some time; the explanations and proofs that are scattered throughout the text are clearly written and elegant, and common themes are picked up repeatedly with increasing sophistication as the book goes along ...' Mathematical Reviews
'A bright undergraduate would get a tremendous grounding in modern quantum theory from reading this book, and solving the problems therein. So would many postgraduate students and academics wanting to get into the heart of quantum information research.' Howard M. Wiseman, Quantum Information Processing
"This is a fantastic book, with one of the authors no less than the very inventor of the word and idea of a qubit. When I opened the book for the first time, I found I couldn't stop reading through it and working out some of the problems. I should be ashamed to admit, but after 15 years as a professional quantum information theorist, I was still learning some elementary aspects of quantum mechanics. There's no book out there I would recommend more for learning the mechanics of this quantum world." Chris Fuchs, Perimeter Institute for Theoretical Physics
"One of the most original and insightful introductions to quantum mechanics ever written, this book is also an excellent introduction to the emerging field of quantum information science." Michael Nielsen, co-author of Quantum Computation and Quantum Information
"Though the pioneers of quantum mechanics recognized that information encoded in quantum systems has counter-intuitive properties, the systematic development of quantum information theory began only relatively recently. Many quantum information concepts are both mathematically accessible and physically illuminating, yet until now have been omitted from introductory quantum mechanics textbooks. This superb new book by Ben Schumacher and Mike Westmoreland is perfectly suited for a modern undergraduate course on quantum mechanics that emphasizes fundamental notions from quantum information science, such as entanglement, Bell's theorem, quantum teleportation, quantum cryptography, and quantum error correction. The authors, who are themselves important contributors to the subject, have complete mastery of the material, and they write clearly and engagingly. Schumacher and Westmoreland are equally effective at covering the more standard material included in other texts. Indeed, this book could be used successfully in a traditional quantum mechanics that shuns the rich insights quantum information theory can provide. But that would be a terrible shame." John Preskill, California Institute of Technology
"This is a wonderful book! It covers the usual topics of a first course in quantum mechanics and much more, and it does so with an unusual conceptual depth. The inclusion of information theoretic ideas not only enriches the presentation of the basic theory--for example in helping to articulate the conditions under which quantum coherence is lost--it also opens up the large area of physics in which both quantum mechanical and information theoretic concepts play central roles. On the basis of such concepts, the authors develop, for example, enough thermodynamics to derive the minimum thermodynamic cost of communication. Throughout the book, the writing is clear and engaging and the mathematics is treated carefully. Original insights abound." William K Wootters, Williams College
"With its comprehensive presentation of both quantum mechanics and QIC, this book, written by two pioneers of this emerging new approach to computing, is really one of a kind, something that the glowing editorial reviews on the book's back cover, written by well-known experts, are eager to point out. Most concepts that one would find in traditional nonrelativistic quantum mechanics physics books are presented in a clear and well thought-out manner (but be prepared for a bit more work when dealing with subtle notions such as quantum relative entropy or mutual information). Quantum mechanics concepts introduced in traditional physics books that have been left out here, such as particle scattering, S-matrix, and Heisenberg's formalism, are indeed less relevant in an introduction to QIC. The brilliant pedagogical approach taken by the authors, who are able to present quite abstract notions using a clear and sprightly style, together with the quality of the editing (I found very few typographical errors), will provide both students and researchers interested in the growing field of QIC with a pleasant and informative read. A final note, relevant in these days of e-reading craze: the quality of the paper chosen by the publisher for the hardcover edition of this book is a real visual and tactile treat." P. Jouvelot, Computing Reviews
"This textbook is, on the whole, a very impressive piece of work. It has clearly been refined over some time; the explanations and proofs that are scattered throughout the text are clearly written and elegant, and common themes are picked up repeatedly with increasing sophistication as the book goes along, without the earlier explanations seeming dumbed-down or inadequate. The exercises and problems are well-chosen to illustrate the ideas being explained. Overall, I found this book very impressive, and I think it could be adapted for a variety of undergraduate classes on quantum mechanics and quantum information. Moreover, I think it strongly shows that the case for teaching quantum mechanics by starting with simple, finite-dimensional systems is both practical and compelling. This book may well be the model for quantum mechanics classes of the future." Todd A. Brun, Mathematical Reviews

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