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.Comment: 37 pages, 7 figure