If NMR systems are to be used as practical quantum computers, the number of
coupled spins will need to be so large that it is not feasible to rely on
purely heteronuclear spin systems. The implementation of a quantum logic ga
te imposes certain constraints on the motion of those spins not directly in
volved in that gate, the so-called 'spectator' spins; they must be returned
to their initial states at the end of the sequence. As a result, a homonuc
lear spin system where there is appreciable coupling between every pair of
spins would seem to require a refocusing scheme that doubles in complexity
and duration for every additional spectator spin. Fortunately, for the more
realistic practical case when long-range spin-spin couplings can be neglec
ted, simpler refocusing schemes can be devised where the overall duration o
f the sequence remains constant and the number of soft pulses increases onl
y linearly with the number of spectator spins. These ideas are tested exper
imentally on a six qubit system: the six coupled protons of inosine. (C) 19
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