Randomness extraction from CHSH violation without fair sampling assumptions with a continuous wave source

Certified private randomness can be extracted by a system that show a violation of a Bell inequality. The randomness extraction rate depends on the observed violation and on the repetition rate of the Bell test. Photonic systems generally show a smaller violation, but thanks to their higher repetition it is possible to obtain higher randomness generation rate. We demonstrate a detection loophole-free Bell violation using a photonic system based on a continuous wave source, and show that it allows to increase the randomness generation rate compared to pulsed systems.