  Optical lattices with one atom on each site and interacting via cold
controlled collisions provide an efficient way to entangle a large number of
qubits with high fidelity. It has already been demonstrated experimentally that
this approach is especially suited for the generation of cluster states [O.
Mandel et al., Nature 425, 937 (2003)] which reduce the resource requirement
for quantum computing to the ability to perform single-qubit rotations and
qubit read out. In this paper, we describe how to implement these rotations in
1D and 2D optical lattices without having to address the atoms individually
with a laser field.
