  We propose a theoretical method for the deterministic shaping of quantum
light via photon number state selective interactions. Nonclassical states of
light are an essential resource for high precision optical techniques that rely
on photon correlations and noise reshaping. Notable techniques include quantum
enhanced interferometry, ghost imaging, and generating fault tolerant codes for
continuous variable optical quantum computing. We show that a class of
nonlinear-optical resonators can transform many-photon wavefunctions to produce
structured states of light with nonclassical noise statistics. The devices,
based on parametric down conversion, utilize the Kerr effect to tune photon
number dependent frequency matching, inducing photon number selective
interactions. With a high amplitude coherent pump, the number selective
interaction shapes the noise of a two-mode squeezed cavity state with minimal
dephasing, illustrated with simulations. We specify the requisite material
properties to build the device and highlight the remaining material degrees of
freedom which offer flexible material design.
