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Existing nonlinear-optic implementations of pure, unfiltered heraldedsingle-photon sources do not offer the scalability required for denselyintegrated quantum networks. Additionally, lithium niobate has hitherto beenunsuitable for such use due to its material dispersion. We engineer thedispersion and the quasi-phasematching conditions of a waveguide in the rapidlyemerging thin-film lithium niobate platform to generate spectrally separablephoton pairs in the telecommunications band. Such photon pairs can be used asspectrally pure heralded single-photon sources in quantum networks. We estimatea heralded-state spectral purity of ${>}94\%$ based on joint spectral intensitymeasurements. Further, a joint spectral phase-sensitive measurement of theunheralded time-integrated second-order correlation function yields aheralded-state purity of $(86 \pm 5)\%$.

Spectrally separable photon-pair generation in dispersion engineered thin-film lithium niobate