Numerical simulation results are presented which suggest that a class of non-adiabatic rapid passage sweeps
first realized experimentally in 1991, and which give rise to controllable quantum interference effects observed
using NMR in 2003, should be capable of implementing a universal set of quantum gates G<sub>u</sub> that operate
with high-fidelity. G<sub>u</sub> consists of the Hadamard and NOT gates, together with variants of the phase, π/8,
and controlled-phase gates. Sweep parameter values are provided which simulations indicate will produce the
different gates in G<sub>u</sub>, and for each gate, yield an operation with error probability P<sub>e</sub> < 10<sup>-4</sup>. The simulations
suggest that the universal gate set produced by these rapid passage sweeps show promise as possible elements
of a fault-tolerant scheme for quantum computing.