Simulation of chemical reaction dynamics on an NMR quantum computer
  Quantum simulation can beat current classical computers with minimally a few tens of qubits and will likely become the first practical use of a quantum computer. One promising application of quantum simulation is to attack challenging quantum chemistry problems. Here we report an experimental demonstration that a small nuclear-magnetic-resonance (NMR) quantum computer is already able to simulate the dynamics of a prototype chemical reaction. The experimental results agree well with classical simulations. We conclude that the quantum simulation of chemical reaction dynamics not computable on current classical computers is feasible in the near future. 
Dawei Lu, Nanyang Xu, Ruixue Xu, Hongwei Chen, Jiangbin Gong, Xinhua   Peng, and Jiangfeng Du
quant-ph