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Introduction to Quantum Computers

By: Gary D Doolen, Vladimir I Tsifrinovich, Ronnie Mainieri, Gennady P Berman

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Paperback | 1 December 1997

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196 Pages

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21.5 x 15.3 x 0.9

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Quantum computing promises to solve problems which are intractable on digital computers. Highly parallel quantum algorithms can decrease the computational time for some problems by many orders of magnitude. This important book explains how quantum computers can do these amazing things. Several algorithms are illustrated: the discrete Fourier transform, Shor's algorithm for prime factorization; algorithms for quantum logic gates; physical implementations of quantum logic gates in ion traps and in spin chains; the simplest schemes for quantum error correction; correction of errors caused by imperfect resonant pulses; correction of errors caused by the nonresonant actions of a pulse; and numerical simulations of dynamical behavior of the quantum Control-Not gate. An overview of some basic elements of computer science is presented, including the Turing machine, Boolean algebra, and logic gates. The required quantum ideas are explained.

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Non-Fiction Computing & I.T.Computer Science Mathematical Theory of Computation Computer Hardware Mainframes & Minicomputers Systems Analysis & Design Booktopia Publisher Services World Scientific Publishing Science Physics Quantum Physics & Quantum Mechanics & Quantum Field Theory

Introduction	p. 1
The Turing Machine	p. 8
Binary System and Boolean Algebra	p. 13
The Quantum Computer	p. 20
The Discrete Fourier Transform	p. 31
Quantum Factorization of Integers	p. 36
Logic Gates	p. 38
Implementation of Logic Gates Using Transistors	p. 44
Reversible Logic Gates	p. 51
Quantum Logic Gates	p. 59
Two and Three Qubit Quantum Logic Gates	p. 64
One-Qubit Rotation	p. 69
A[subscript j] - Transformation	p. 78
B[subscript jk] - Transformation	p. 83
Unitary Transformations and Quantum Dynamics	p. 85
Quantum Dynamics at Finite Temperature	p. 90
Physical Realization of Quantum Computations	p. 101
Control-Not Gate in an Ion Trap	p. 109
A[subscript j] and B[subscript jk] Gates in an Ion Trap	p. 116
Linear Chains of Nuclear Spins	p. 120
Digital Gates in a Spin Chain	p. 124
Non-resonant Action of [pi]-Pulses	p. 127
Experimental Logic Gates in Quantum Systems	p. 136
Error Correction for Quantum Computers	p. 143
Quantum Gates in a Two-Spin System	p. 154
Quantum Logic Gates in a Spin Ensemble at Room Temperature	p. 160
Evolution of an Ensemble of Four-Spin Molecules	p. 167
Getting the Desired Density Matrix	p. 174
Conclusion	p. 178
Table of Contents provided by Blackwell. All Rights Reserved.

Introduction to Quantum Computers

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Paperback

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