Recently, Levy has shown that quantum computation may be performed using an
ABAB... chain of spin-1/2 systems with nearest-neighbor Heisenberg interac
tions. Levy notes that all necessary elementary Computational "gates" may b
e achieved purely by manipulating the spin-spin interaction: he proposes us
ing.,spin-resonance" techniques involving modulating the interaction streng
th at high frequency. Here, we establish an alternative: it is possible to
perform the elementary gates via simple, nonoscillatory switching of the in
teraction strength. This approach removes a time "bottle neck" in Levy's sc
heme. so that all elementary operations may now be performed within a time
scale of order (h) over bar/(E-A-E-B).