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Quantum frequency conversion (QFC) between the visible and telecom is a keyfunctionality to connect quantum memories over long distances in fiber-basedquantum networks. Current QFC methods for linking such widely-separatedfrequencies, such as sum/difference frequency generation and four-wave mixingBragg scattering, are prone to broadband noise from the pump laser(s). Toaddress this issue, we propose to use third-order sum/difference frequencygeneration (TSFG/TDFG) for an upconversion/downconversion QFC interface. Inthis process, two pump photons combine their energy and momentum to mediatefrequency conversion across visible and telecom bands, bridging a largespectral gap with long-wavelength pump pho-tons, which is particularlybeneficial from the noise perspective. We show that waveguide-coupled siliconnitride microring resonators can be designed for efficient QFC between 606 nmand 1550 nm via a 1990 nm pump through TSFG/TDFG. We simulate the devicedispersion and coupling, and from the simulated parameters estimate that thefrequency conversion can be efficient (>80 %) at 50 mW pump power. Our resultssuggest that microresonator-based TSFG/TDFG is promising for compact, scalable,and low power QFC across large spectral gaps.

Proposal for noise-free visible-telecom quantum frequency conversion through third-order sum and difference frequency generation