Simplified quantum logic with trapped ions
  We describe a simplified scheme for quantum logic with a collection of laser-cooled trapped atomic ions. Building on the scheme of Cirac and Zoller, we show how the fundamental controlled-NOT gate between a collective mode of ion motion and the internal states of a single ion can be reduced to a single laser pulse, and the need for a third auxiliary internal electronic state can be eliminated. 
C. Monroe, D. Leibfried, B.E. King, D.M. Meekhof, W.M. Itano, and D.J.   Wineland