Physical implementation of holonomic quantum computation in   decoherence-free subspaces with trapped ions
  We propose a feasible scheme to achieve holonomic quantum computation in a decoherence-free subspace (DFS) with trapped ions. By the application of appropriate bichromatic laser fields on the designated ions, we are able to construct two noncommutable single-qubit gates and one controlled-phase gate using the holonomic scenario in the encoded DFS. 
Xin-Ding Zhang, Q. Zhang, and Z. D. Wang