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Quantum Computation and Quantum Information

- A Mathematical Perspective
Af: J. M. Landsberg Engelsk Paperback

Quantum Computation and Quantum Information

- A Mathematical Perspective
Af: J. M. Landsberg Engelsk Paperback
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This book presents the basics of quantum computing and quantum information theory. It emphasizes the mathematical aspects and the historical continuity of both algorithms and information theory when passing from classical to quantum settings. The book begins with several classical algorithms relevant for quantum computing and of interest in their own right. The postulates of quantum mechanics are then presented as a generalization of classical probability. Complete, rigorous, and self-contained treatments of the algorithms of Shor, Simon, and Grover are given. Passing to quantum information theory, the author presents it as a straightforward adaptation of Shannon's foundations to information theory. Both Shannon's theory and its adaptation to the quantum setting are explained in detail. The book concludes with a chapter on the use of representation theory in quantum information theory. It shows how all known entropy inequalities, including the celebrated strong subadditivity of von Neumann entropy, may be obtained from a representation theory perspective. With many exercises in each chapter, the book is designed to be used as a textbook for a course in quantum computing and quantum information theory. Prerequisites are elementary undergraduate probability and undergraduate algebra, both linear and abstract. No prior knowledge of quantum mechanics or information theory is required.
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This book presents the basics of quantum computing and quantum information theory. It emphasizes the mathematical aspects and the historical continuity of both algorithms and information theory when passing from classical to quantum settings. The book begins with several classical algorithms relevant for quantum computing and of interest in their own right. The postulates of quantum mechanics are then presented as a generalization of classical probability. Complete, rigorous, and self-contained treatments of the algorithms of Shor, Simon, and Grover are given. Passing to quantum information theory, the author presents it as a straightforward adaptation of Shannon's foundations to information theory. Both Shannon's theory and its adaptation to the quantum setting are explained in detail. The book concludes with a chapter on the use of representation theory in quantum information theory. It shows how all known entropy inequalities, including the celebrated strong subadditivity of von Neumann entropy, may be obtained from a representation theory perspective. With many exercises in each chapter, the book is designed to be used as a textbook for a course in quantum computing and quantum information theory. Prerequisites are elementary undergraduate probability and undergraduate algebra, both linear and abstract. No prior knowledge of quantum mechanics or information theory is required.
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 204
ISBN-13: 9781470477776
Indbinding: Paperback
Udgave:
ISBN-10: 1470477777
Kategori: Anvendt matematik
Udg. Dato: 30 sep 2024
Længde: 15mm
Bredde: 179mm
Højde: 259mm
Forlag: American Mathematical Society
Oplagsdato: 30 sep 2024
Forfatter(e): J. M. Landsberg
Forfatter(e) J. M. Landsberg

Kategori Anvendt matematik

ISBN-13 9781470477776

Sprog Engelsk

Indbinding Paperback

Sider 204

Udgave

Længde 15mm

Bredde 179mm

Højde 259mm

Udg. Dato 30 sep 2024

Oplagsdato 30 sep 2024

Forlag American Mathematical Society