  We consider a quantum processor based on five qutrits represented by spins
S=1, which is driven by radio fre-quency (RF) pulses selective in transitions
between adjacent levels. Numerical simulation of the implementation of the
quantum-adiabatic clustering algorithm was performed on the example of
partitioning a set of six points into three groups. We find the amplitudes and
durations of rectangular RF pulses, as well as the durations of free evolu-tion
intervals in the control pulse sequence, which made it possible to engineer a
time-dependent effective Hamilto-nian in the discrete-time approximation. Also
we studied the dependence of the implementation fidelity on the pa-rameters. We
took quadrupole nuclei as qutrits, but the results obtained will be useful for
controlling quantum pro-cessors based on qutrits represented by other systems.
