Principles of quantum computation and information. Volume 1, Basic concepts / Giuliano Benenti and Giulio Casati, Giuliano Strini.

Format:

Book

Author/Creator:

Benenti, Giuliano, 1969-

Contributor:

Casati, Giulio, 1942-

Strini, Giuliano, 1937-

Language:

English

Subjects (All):

Quantum computers.

Computer science.

Physical Description:

1 online resource (xiii, 256 p. ) ill.

Edition:

1st ed.

Place of Publication:

River Edge, NJ : World Scientific, c2004.

Language Note:

English

Summary:

May be used as a textbook for a one semester introductory course, both for upper level undergraduate students and for graduate students. It is also useful as general education for readers who want the fundamental principles and who have the basic background acquired from their course in physics, mathematics or computers.

Quantum computation and information is a new, rapidly developing interdisciplinary field. Therefore, it is not easy to understand its fundamental concepts and central results without facing numerous technical details. This book provides the reader a useful and not-too-heavy guide. It offers a simple and self-contained introduction: no previous knowledge of quantum mechanics or classical computation is required. Volume 1 may be used as a textbook for a one-semester introductory course in quantum information and computation, both for upper-level undergraduate students and for graduate students. It contains a large number of solved exercises, which are an essential complement to the text, as they will help the student to become familiar with the subject. The book may also be useful as general education for readers who want to know the fundamental principles of quantum information and computation and who have the basic background acquired from their undergraduate course in physics, mathematics, or computer science.

Contents:

1. Introduction to classical computation. 1.1. The Turing machine. 1.2. The circuit model of computation. 1.3. Computational complexity. 1.4. Computing dynamical systems. 1.5. Energy and information. 1.6. Reversible computation. 1.7. A guide to the bibliography

2. Introduction to quantum mechanics. 2.1. The Stern-Gerlach experiment. 2.2. Young's double-slit experiment. 2.3. Linear vector spaces. 2.4. The postulates of quantum mechanics. 2.5. The EPR paradox and Bell's inequalities. 2.6. A guide to the bibliography

3. Quantum computation. 3.1. The qubit. 3.2. The circuit model of quantum computation. 3.3. Single-qubit gates. 3.4. Controlled gates and entanglement generation. 3.5. Universal quantum gates. 3.6. Unitary errors. 3.7. Function evaluation. 3.8. The quantum adder. 3.9. Deutsch's algorithm. 3.10. Quantum search. 3.11. The quantum Fourier transform. 3.12. Quantum phase estimation. 3.13. Finding eigenvalues and eigenvectors. 3.14. Period finding and Shor's algorithm. 3.15. Quantum computation of dynamical systems. 3.16. First experimental implementations. 3.17. A guide to the bibliography

4. Quantum communication. 4.1. Classical cryptography. 4.2. The no-cloning theorem. 4.3. Quantum cryptography. 4.4. Dense coding. 4.5 Quantum teleportation. 4.6. An overview of the experimental implementations. 4.7. A guide to the bibliography.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

ISBN:

9786611934682

9781281934680

1281934682

9789812794796

9812794794

OCLC:

815752362