In this paper, we explore quantum control systems tuned by spatially varying functions, which are different from the broadly studied quantum control systems with time-dependent controls. Such control problems exist in the design of quantum waveguides and materials (e.g., fibers, photonic crystals, and metamaterials) and have not been considered from a control theoretic point of view. The spatial quantum control model is built from quantized Maxwell equations for dielectric waveguides, where the spatially varying dielectric parameters are taken as controls. The model can be applied to both passive and active dielectrics or their mixtures such as metamaterials. We derive the iterative equation for slab structures, which is analogous to a discrete-time control system. For homogeneous waveguides, the model is parallel with the well-known Langevin equation in the time domain. However, for inhomogeneous and dispersive waveguides, the control model becomes bilinear even for linear dielectric materials and hence ...