  We have developed a concrete quantum simulation scheme and experimentally
simulated a pairing model on an NMR quantum computer. The design of our
experiment includes choosing an appropriate initial state in order to make our
scheme scalable in near future, and the accomplishment of our experiment makes
use of twice Fourier transforms so that our method is applicable to other
physical models. Our results show that the experimental simulation can give the
spectrum of the simulated Hamiltonian. Consequently, the potential power of a
quantum computer on the simulation of complex physical systems is verified.
