Holonomic quantum computation with neutral atoms
  We propose an all-geometric implementation of quantum computation using neutral atoms in cavity QED. We show how to perform generic single- and two-qubit gates, the latter by encoding a two-atom state onto a single, many-level atom. We compare different strategies to overcome limitations due to cavity imperfections. 
A. Recati, T. Calarco, P. Zanardi, J.I. Cirac, and P. Zoller