  Quantum optical cluster states have been increasingly explored, in the light
of their importance for measurement-based quantum computing. Here we set forth
a new method for generating quantum controlled cluster states: pumping an
optical parametric oscillator with spatially structured light. We show that
state-of-the-art techniques for producing clusters in the spectral and temporal
domains are improved by a structured light pump, which manipulates the spatial
mode couplings in the parametric interaction. We illustrate the method
considering a second-order pump structure, and show that a simple mode rotation
yields different cluster states, including, but not limited to the
two-dimensional square and hexagonal lattices. We also introduce a novel
technique for generating non-uniform cluster states, and propose a simple setup
for its implementation.
