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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