Quantum Computation and Quantum Information - Nielsen, Michael A.

Quantum Computation and Quantum Information

Michael A. Nielsen

Yayınevi: Cambridge University Press

Yayın tarihi: 01/2000

ISBN: 9780521635035

İngilizce | 700 Sayfa |

Tür: Fizik-Astronomi  |  Bilgisayar-Akademik


This text is the first comprehensive introduction to the main ideas and techniques of the field of quantum computation and quantum information. Michael Nielsen and Isaac Chuang ask the question: what are the ultimate physical limits to computation and communication? They describe in detail such remarkable effects as fast quantum algorithms, quantum teleportation, quantum cryptography and quantum error-correction. A wealth of accompanying figures and exercises illustrate and develop the material in more depth. The authors describe what a quantum computer is, how it can be used to solve problems faster than familiar 'classical' computers, and the real-world implementation of quantum computers. The book concludes with an in-depth treatment of quantum information, explaining how quantum states can be used to perform remarkable feats of communication, together with a discussion of how it is possible to protect quantum states against the effects of noise.

Table of Contents

Nomenclature and notation
Part I. Fundamental Concepts: 1. Introduction and overview
2. Introduction to quantum mechanics
3. Introduction to computer science
Part II. Quantum Computation: 4. Quantum circuits
5. The quantum Fourier transform and its applications
6. Quantum search algorithms
7. Quantum computers: physical realisation
Part III. Quantum Information: 8. Quantum noise, open quantum systems, and quantum operations
9. Distance measurement for quantum information
10. Quantum error-correction
11. Entropy and information
12. Quantum information theory
Appendix A. Notes on basic probability theory
Appendix B. Group theory
Appendix C. Approximating quantum gates: the Solvay-Kitaev theorem
Appendix D. Number theory
Appendix E. Public-key cryptography and the RSA cryptosystem
Appendix F. Proof of Lieb's theorem

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