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A Short Introduction to Quantum Information and Quantum Computation

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Hardcover | 15 June 2006

At a Glance

Hardcover
178 Pages

Dimensions(cm)
25.4 x 18.0 x 1.4

Hardcover

RRP $123.95

$118.75

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Quantum information and computation is a rapidly expanding and cross-disciplinary subject. This book, first published in 2006, gives a self-contained introduction to the field for physicists, mathematicians and computer scientists who want to know more about this exciting subject. After a step-by-step introduction to the quantum bit (qubit) and its main properties, the author presents the necessary background in quantum mechanics. The core of the subject, quantum computation, is illustrated by a detailed treatment of three quantum algorithms: Deutsch, Grover and Shor. The final chapters are devoted to the physical implementation of quantum computers, including the most recent aspects, such as superconducting qubits and quantum dots, and to a short account of quantum information. Written at a level suitable for undergraduates in physical sciences, no previous knowledge of quantum mechanics is assumed, and only elementary notions of physics are required. The book includes many short exercises, with solutions available to instructors through solutions@cambridge.org.

Industry Reviews

'... stands above other worthy introductory books, such as Quantum Approach to Informatics by Stig Stenholm and Kalle-Antti Suominen (Wiley-Interscience, 2005). ... Le Bellac's book is designed as a self-contained, short introduction ... It fully succeeds in its mission.' Physics Today '...M. Le Bellac provides a vivid, concise, and consistent, well written and rather elementary introductory to quantum computing that can be recommended for the readers of a rather broader circle who have some nontrivial background in quantum mechanics. Zentralblatt MATH

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You Can Find This Book In

Non-Fiction Science Physics Quantum Physics & Quantum Mechanics & Quantum Field Theory Computing & I.T.Computer Hardware Mainframes & Minicomputers Computer Science Mathematical Theory of Computation Information Technology General Issue Mathematics Probability & Statistics

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Foreword	p. vii
Preface	p. ix
Introduction	p. 1
What is a qubit?	p. 5
The polarization of light	p. 5
Photon polarization	p. 8
Mathematical formulation: the qubit	p. 11
Principles of quantum mechanics	p. 17
Quantum cryptography	p. 23
Exercises	p. 28
Further reading	p. 32
Manipulating qubits	p. 33
The Bloch sphere, spin 1/2	p. 33
Dynamical evolution	p. 37
Manipulating qubits: Rabi oscillations	p. 40
Principles of NMR and MRI	p. 44
Exercises	p. 47
Further reading	p. 48
Quantum correlations	p. 49
Two-qubit states	p. 49
The state operator (or density operator)	p. 54
The quantum no-cloning theorem	p. 57
Decoherence	p. 58
The Bell inequalities	p. 63
Exercises	p. 67
Further reading	p. 72
Introduction to quantum computing	p. 75
General remarks	p. 75
Reversible calculation	p. 77
Quantum logic gates	p. 81
The Deutsch algorithm	p. 84
Generalization to n + m qubits	p. 86
The Grover search algorithm	p. 88
The quantum Fourier transform	p. 91
The period of a function	p. 94
Classical algorithms and quantum algorithms	p. 101
Exercises	p. 103
Further reading	p. 105
Physical realizations	p. 107
NMR as a quantum computer	p. 108
Trapped ions	p. 114
Superconducting qubits	p. 122
Quantum dots	p. 131
Exercises	p. 133
Further reading	p. 138
Quantum information	p. 141
Teleportation	p. 141
Shannon entropy	p. 144
von Neumann entropy	p. 147
Quantum error correction	p. 154
Exercises	p. 157
Further reading	p. 158
References	p. 161
Index	p. 165
Table of Contents provided by Ingram. All Rights Reserved.

A Short Introduction to Quantum Information and Quantum Computation

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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