  We present a novel way to manipulate ultra-cold atoms where four atomic
levels are trapped by appropriately tuned optical lattices. When employed to
perform quantum computation via global control, this unique structure
dramatically reduces the number of steps involved in the control procedures,
either for the standard, network, model, or for one-way quantum computation.
The use of a far-blue detuned lattice and a magnetically insensitive
computational basis makes the scheme robust against decoherence. The present
scheme is a promising candidate for experimental implementation of quantum
computation and for graph state preparation in one, two or three spatial
dimensions.
