| Preface | p. vii |
| Acknowledgments | p. ix |
| Brief Historical Survey and Perspectives | p. 1 |
| References | p. 6 |
| Physics, Information and Computation | p. 9 |
| Turing Machines, logic gates and computers | p. 9 |
| Knowledge, statistics and thermodynamics | p. 15 |
| Reversible versus irreversible computation | p. 18 |
| Landauer's principle and the Maxwell demon | p. 20 |
| Natural phenomena as computing processes. The physical limits of computation | p. 21 |
| Moore's law. Quantum computation | p. 24 |
| Problems with solutions | p. 27 |
| References | p. 31 |
| Basic Concepts on Nuclear Magnetic Resonance | p. 33 |
| General principles | p. 33 |
| Interaction with static magnetic fields | p. 35 |
| Interaction with a radiofrequency field - the resonance phenomenon | p. 38 |
| Relaxation phenomena | p. 41 |
| Density matrix formalism: populations, coherences, and NMR observables | p. 44 |
| NMR of non-interacting spins 1/2 | p. 47 |
| Nuclear spin interactions | p. 52 |
| Chemical shift | p. 54 |
| Dipolar coupling | p. 55 |
| J-coupling | p. 56 |
| Quadrupolar coupling | p. 57 |
| General form of the internal Hamiltonians | p. 60 |
| NMR of two coupled spins 1/2 | p. 62 |
| NMR of quadrupolar nuclei | p. 68 |
| Density matrix approach to nuclear spin relaxation | p. 73 |
| Solid-state NMR | p. 75 |
| Dipolar decoupling | p. 76 |
| Magic-angle spinning (MAS) | p. 76 |
| Cross-polarization (CP) | p. 78 |
| The CP-MAS experiment | p. 78 |
| The experimental setup | p. 79 |
| Applications of NMR in science and technology | p. 83 |
| Problems with solutions | p. 83 |
| References | p. 90 |
| Fundamentals of Quantum Computation and Quantum Information | p. 93 |
| Historical development | p. 93 |
| The postulates of quantum mechanics | p. 95 |
| Quantum bits | p. 96 |
| Quantum logic gates | p. 97 |
| Some examples of application of the postulates | p. 98 |
| The controlled NOT - CNOT - gate | p. 99 |
| Graphical representation of gates and quantum circuits | p. 100 |
| The SWAP logic gate | p. 101 |
| The Quantum Fourier Transform - QFT | p. 102 |
| Quantum state tomography | p. 104 |
| The density matrix | p. 104 |
| Determining [rho] | p. 105 |
| Entanglement | p. 106 |
| Some applications of entanglement | p. 109 |
| Quantum algorithms | p. 111 |
| The Deutsch's algorithm | p. 112 |
| The quantum search algorithm | p. 113 |
| The quantum factorizing algorithm | p. 116 |
| Quantum simulations | p. 124 |
| Quantum information in phase space | p. 125 |
| The Wigner function | p. 125 |
| Measuring the Wigner function | p. 127 |
| Quantum states in phase space | p. 127 |
| Determining eigenvalues and eigenvectors | p. 130 |
| Problems with solutions | p. 131 |
| References | p. 135 |
| Introduction to NMR Quantum Computing | p. 137 |
| The NMR qubits | p. 137 |
| Quantum logic gates generated by radiofrequency pulses | p. 140 |
| Elementary single-qubit gates and their implementations using RF pulses | p. 140 |
| Elementary two-qubit gates and their implementation in NMR | p. 146 |
| Multi-qubit gates | p. 150 |
| Use of strongly modulated RF pulses for quantum gate implementation in NMR QIP | p. 151 |
| Production of pseudo-pure states | p. 153 |
| Temporal averaging | p. 154 |
| Spatial averaging | p. 158 |
| State labeling | p. 160 |
| Reconstruction of density matrices in NMR QIP: Quantum State Tomography | p. 162 |
| NMR Quantum State Tomography | p. 163 |
| NMR Quantum State Tomography in coupled spin 1/2 systems | p. 163 |
| NMR Quantum State Tomography of quadrupole nuclei | p. 165 |
| Evolution of Bloch vectors and other quantities obtained from tomographed density matrices | p. 168 |
| Problems with solutions | p. 171 |
| References | p. 180 |
| Implementation of Quantum Algorithms by NMR | p. 183 |
| Numerical simulation of NMR spectra and density matrix calculation along an algorithm implementation | p. 183 |
| NMR implementation of Deutsch and Deutsch-Jozsa algorithms | p. 185 |
| Grover search tested by NMR | p. 187 |
| Quantum Fourier Transform NMR implementation | p. 189 |
| Shor factorization algorithm tested in a 7-qubit molecule | p. 190 |
| Algorithm implementation in quadrupole systems | p. 193 |
| Quantum simulations | p. 193 |
| Measuring the discrete Wigner function | p. 198 |
| Problems with solutions | p. 201 |
| References | p. 204 |
| Entanglement in Liquid-State NMR | p. 207 |
| The problem of liquid-state NMR entanglement | p. 207 |
| The Peres criterium and bounds for NMR entanglement | p. 209 |
| Some NMR experiments reporting pseudo-entanglement | p. 211 |
| Problems with solutions | p. 217 |
| References | p. 220 |
| Perspectives for NMR Quantum Computation and Quantum Information | p. 221 |
| Silicon-based proposals: solution for the scaling problem | p. 222 |
| NMR quantum information processing based on Magnetic Resonance Force Microscopy (MRFM) | p. 226 |
| Single spin detection techniques: solution for the sensitivity problem | p. 231 |
| NMR on a chip: towards the NMR quantum chip integration | p. 234 |
| Problems with solutions | p. 236 |
| References | p. 241 |
| Index | p. 243 |
| Table of Contents provided by Ingram. All Rights Reserved. |