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Summary form only given. Controlled interactions between pairs of neutral atoms in optical lattices allow for the creation of highly entangled multiparticle states and the implementation of quantum logic gates. Such systems benefit from suppressed decoherence because neutrals couple weakly to the environment and from the possibility of processing with the massively parallel quantum registers in the atomic ensemble. The main source of decoherence is spontaneous emission which can be made negligible if the two atom interactions are performed fast compared to the scattering rate. We have shown the possibility of using induced electric dipole-dipole interactions between pairs of atoms to perform the two qubit gates /spl radic/(SWAP) and CPHASE with high fidelity.