Quantum Computation and Quantum Information (Paperback)
暫譯: 量子計算與量子資訊（平裝本）

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.

Contents

Preface; Acknowledgement; 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 S闤vay-Kitaev theorem; Appendix D. Number theory; Appendix E. Public-key cryptography and the RSA cryptosystem; Appendix F. Proof of Liebs theorem; References; Index.