A topological photonic system configured as a robust source of indistinguishable photons pairs with tunable spectral correlations. The system includes a two-dimensional silicon-photonic ring resonator array configured to implement an anomalous-quantum Hall model that exhibits topologically robust edge states. Linear dispersion of the edge states ensures efficient and robust phase matching and tunability of the spectral bandwidth of photon pairs generated via spontaneous four-wave mixing. Spectral tunability is manifested in the temporal correlations in the Hong-Ou-Mandel interference between photons. The generated photon pairs are energy-time entangled.