Fast quantum gates for neutral atoms

We propose several schemes fur implementing a fast two-qubit quantum gate F ur neutral atoms with the gate operation time much faster than the time sca les associated with the external motion of the atoms in the trapping potent ial. In our example, the large interaction energy required to perform fast gate operations is provided by the dipole-dipole interaction of atoms excit ed to low-lying Rydberg states in constant electric fields. A detailed anal ysis of imperfections: of the gate operation is given.