Universal quantum computation in deocoherence-free subspace with neutral atoms

We show how realistic cavity-assisted interaction between neutral atoms and coherent optical pulses, and measurement techniques, combined with optical transportation of atoms, allow for a universal set of quantum gates acting on decoherence-free subspace (DFS) in deterministic way. The logical qubits are immunized to the dominant source of decoherece--dephasing; while, the influences of additional errors are shown by numerical simulations. We analyze the performance and stability of all required operations and emphasize that all techniques we use are feasible with current experimental technology.