## Quantum Computation and Quantum Information: 10th Anniversary EditionOne of the most cited books in physics of all time, Quantum Computation and Quantum Information remains the best textbook in this exciting field of science. This 10th anniversary edition includes an introduction from the authors setting the work in context. This comprehensive textbook describes such remarkable effects as fast quantum algorithms, quantum teleportation, quantum cryptography and quantum error-correction. Quantum mechanics and computer science are introduced before moving on to describe what a quantum computer is, how it can be used to solve problems faster than 'classical' computers and its real-world implementation. It concludes with an in-depth treatment of quantum information. Containing a wealth of figures and exercises, this well-known textbook is ideal for courses on the subject, and will interest beginning graduate students and researchers in physics, computer science, mathematics, and electrical engineering. |

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Page 353

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### Contents

1 | |

Introduction to quantum mechanics | 60 |

Introduction to computer science | 120 |

Quantum computation | 171 |

The quantum Fourier transform and its applications | 216 |

Quantum search algorithms | 248 |

physical realization | 277 |

Quantum information | 353 |

Entropy and information | 500 |

Quantum information theory | 528 |

Appendices | 608 |

The SolovayKitaev theorem | 617 |

Number theory | 625 |

Public key cryptography and the RSA cryptosystem | 640 |

Bibliography | 649 |

Index | 665 |

### Other editions - View all

Quantum Computation and Quantum Information: 10th Anniversary Edition Michael A. Nielsen,Isaac L. Chuang No preview available - 2010 |

### Common terms and phrases

Alice and Bob ancilla applied arbitrary atom bit ﬂip Bloch sphere chapter classical computer classical information computation and quantum computational basis construction controlled deﬁned deﬁnition density matrix density operator described difﬁcult efﬁciently eigenvalues encoded entanglement entropy equation error error-correcting codes example Exercise factor fault-tolerant ﬁdelity ﬁeld Figure ﬁnal ﬁnd ﬁnite ﬁrst ﬁxed function gives Hadamard gate Hamiltonian implement inequality input integer interaction linear noise obtain operation elements oracle order-ﬁnding orthonormal output Pauli perform phase ﬂip physical polynomial possible POVM probability problem procedure proof properties protocol prove quantum algorithms quantum circuit quantum codes quantum computation quantum error-correction quantum Fourier transform quantum gates quantum information processing quantum mechanics quantum operation quantum search algorithm quantum system result satisﬁes Section Show simulation single qubit solve speciﬁc spin subadditivity sufﬁcient Suppose Toffoli gate trace distance Turing machine unitary matrix unitary operator unitary transform vector space