We propose a new system for implementing quantum logic gates: neutral atoms
trapped in a very far-off-resonance optical lattice. Pairs of atoms are ma
de to occupy the same well by varying the polarization of the trapping lase
rs, and then a near-resonant electric dipole is induced by an auxiliary las
er. A controlled-NOT can be implemented by conditioning the target atomic r
esonance on a resolvable level shift induced by the control atom. Atoms int
eract only during logical operations, thereby suppressing decoherence.