Cavity-mediated long-range interaction for fast multiqubit quantum logic   operations
  Interactions among qubits are essential for performing two-qubit quantum logic operations. However, nature gives us only nearest neighbor interactions in simple and controllable settings. Here we propose a strategy to induce interactions among two atomic entities that are not necessarily neighbors of each other through their common coupling with a cavity field. This facilitates fast multiqubit quantum logic operations through a set of two-qubit operations. The ideas presented here are applicable to various quantum computing proposals for atom based qubits such as, trapped ions, atoms trapped in optical cavities and optical lattices. 
Kishore T. Kapale, Girish S. Agarwal and Marlan O. Scully