Introduction to quantum computers 9810234902, 9789810234904, 9780585459158, 9810235496

Table of contents :
Contents......Page 8
Chapter 1 Introduction......Page 10
Chapter 2 The Turing Machine......Page 17
Chapter 3 Binary System and Boolean Algebra......Page 22
Chapter 4 The Quantum Computer......Page 29
Chapter 5 The Discrete Fourier Transform......Page 40
Chapter 6 Quantum Factorization of Integers......Page 45
Chapter 7 Logic Gates......Page 47
Chapter 8 Implementation of Logic Gates Using Transistors......Page 53
Chapter 9 Reversible Logic Gates......Page 60
Chapter 10 Quantum Logic Gates......Page 68
Chapter 11 Two and Three Qubit Quantum Logic Gates......Page 73
Chapter 12 One-Qubit Rotation......Page 78
Chapter 13 Aj \205 Transformation......Page 87
Chapter 14 B jk \205 Transformation......Page 92
Chapter 15 Unitary Transformations and Quantum Dynamics......Page 94
Chapter 16 Quantum Dynamics at Finite Temperature......Page 99
Chapter 17 Physical Realization of Quantum Computations......Page 110
Chapter 18 CONTROL-NOT Gate in an Ion Trap......Page 118
Chapter 19 A j and B jk Gates in an Ion Trap......Page 125
Chapter 20 Linear Chains of Nuclear Spins......Page 129
Chapter 21 Digital Gates in a Spin Chain......Page 133
Chapter 22 Non-resonant Action of - Pulses......Page 136
Chapter 23 Experimental Logic Gates in Quantum Systems......Page 145
Chapter 24 Error Correction for Quantum Computers......Page 152
Chapter 25 Quantum Gates in a Two-Spin System......Page 163
Chapter 26 Quantum Logic Gates in a Spin Ensemble at Room Temperature......Page 169
Chapter 27 Evolution of an Ensemble of Four-Spin Molecules......Page 176
Chapter 28 Getting the Desired Density Matrix......Page 183
Chapter 29 Conclusion......Page 187
Bibliography......Page 189