Experimental Simulation of a Pairing Hamiltonian on an NMR Quantum   Computer
  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. 
Xiao-Dong Yang, An Min Wang, Feng Xu, and Jiangfeng Du