  We give out a proposal of quantum simulation of pairing model on an NMR
quantum computer. In our proposal, we choose an appropriate initial state which
can be easily prepared in experiment. Making use of feature of NMR measure and
the technology of the second (discrete) Fourier transformation, our theoretical
scheme can obtain the spectrum of paring model in principle. We concretely
discuss the case in the concerned subspaces of pairing model and then, as an
example, give out a simple initial state to get the gap of two the lowest
energy levels in the given subspace. The quantum simulation to get more
differences of energy levels is able to be discussed similarly.
