Quantum-controlled cluster states

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 generating controlled states: pumping an parametric oscillator with spatially structured light. We show that state-of-the-art techniques producing clusters spectral and temporal domains are improved by pump, which manipulates spatial mode couplings interaction. illustrate considering second-order pump structure, simple rotation yields different states, including, but not limited to two-dimensional square hexagonal lattices. also introduce novel technique non-uniform propose setup its implementation.