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.

'… 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.'

Source: 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.

Source: Zentralblatt MATH

'… exceptionally well written (and translated) and … although not easy, due to the non-intuitive nature of the subject, will amply repay the commitment it demands and enable one to get up to speed in the subject.'

Source: Mathematics Today