Optimal control of atom transport for quantum gates in optical lattices
  By means of optimal control techniques we model and optimize the manipulation of the external quantum state (center-of-mass motion) of atoms trapped in adjustable optical potentials. We consider in detail the cases of both non interacting and interacting atoms moving between neighboring sites in a lattice of a double-well optical potentials. Such a lattice can perform interaction-mediated entanglement of atom pairs and can realize two-qubit quantum gates. The optimized control sequences for the optical potential allow transport faster and with significantly larger fidelity than is possible with processes based on adiabatic transport. 
G. De Chiara, T. Calarco, M. Anderlini, S. Montangero, P. J. Lee, B.   L. Brown, W. D. Phillips, and J. V. Porto