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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 Sölvay-Kitaev theorem Appendix D. Number theory Appendix E. Public-key cryptography and the RSA cryptosystem Appendix F. Proof of Lieb's theorem References Index.