Realizing the quantum baker's map on an NMR quantum computer
  By numerically simulating an implementation of the quantum baker's map on a 3-qubit NMR quantum computer based on the molecule trichloroethylene, we demonstrate the feasibility of quantum chaos experiments on present-day quantum computers. We give detailed descriptions of proposed experiments that investigate (a) the rate of entropy increase due to decoherence and (b) the phenomenon of hypersensitivity to perturbation. 
Todd A. Brun (ITP, UCSB), Ruediger Schack (Royal Holloway College,   London)