## A Short Introduction to Quantum Information and Quantum ComputationQuantum information and computation is a rapidly expanding and cross-disciplinary subject. This book, first published in 2006, gives a self-contained introduction to the field for physicists, mathematicians and computer scientists who want to know more about this exciting subject. After a step-by-step introduction to the quantum bit (qubit) and its main properties, the author presents the necessary background in quantum mechanics. The core of the subject, quantum computation, is illustrated by a detailed treatment of three quantum algorithms: Deutsch, Grover and Shor. The final chapters are devoted to the physical implementation of quantum computers, including the most recent aspects, such as superconducting qubits and quantum dots, and to a short account of quantum information. Written at a level suitable for undergraduates in physical sciences, no previous knowledge of quantum mechanics is assumed, and only elementary notions of physics are required. The book includes many short exercises, with solutions available to instructors through solutions@cambridge.org. |

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It is a good book for undergraduates.

### Contents

5 | |

Manipulating qubits | 33 |

Quantum correlations | 49 |

Introduction to quantum computing | 75 |

Physical realizations | 107 |

Quantum information | 141 |

xi | |

### Other editions - View all

A Short Introduction to Quantum Information and Quantum Computation Michel Le Bellac Limited preview - 2006 |

### Common terms and phrases

Alice and Bob analyzer angle atom axis birefringent plate calculation Chapter classical cNOT gate construct Cooper pair correlations corresponding cos2 cZ gate decoherence defined denote eigenvalues electron encode energy ensemble entangled environment equation evolution example Exercise expectation value factor field B0 flip function fx gives Hadamard gate Hamiltonian Hermitian operator Hilbert space individual qubits input register integer interaction Josephson junctions large number laser linear superposition logic gates magnetic field matrix measurement molecule Neumann entropy notation obtain orthogonal orthonormal basis output register particle phase photon polarized physical properties polarized along Ox polynomial possible principle probability amplitude problem projectors quantum computer quantum cryptography quantum dots quantum information quantum mechanics quantum physics quantum system Rabi oscillations resonance frequency result rotation scalar product Section Show sin2 spin superconducting SWAP tensor product Toffoli gate trapped ions two-qubit unitary transformation vibrational