Advanced and mature computer simulation methods exist in fluid dynamics, elec-

tromagnetics, semiconductors, chemical transport, and even chemical and material

electronic structure. However, few general or accurate methods have been developed

for quantum photonic devices. Here, a novel approach utilizing phase-space quantum

mechanics is developed to model photon transport in ring resonators, a form of en-

tangled pair source. The key features the model needs to illustrate are the emergence

of non-classicality and entanglement between photons due to nonlinear effects in the

ring. The quantum trajectory method is subsequently demonstrated on a sequence

of elementary models and multiple aspects of the ring resonator itself.