Post-selection free time-bin entanglement on a thin-film lithium niobate photonic chip

Abstract: Time-bin entanglement is the most commonly used form of entanglement for quantum communication protocols over fiber networks, due to the natural resilience of this encoding scheme to thermal phase fluctuations in optical fibers. Projective measurements on some bases in the time-bin encoding need, however, post-selection of the measured events, introducing a loophole in Bell tests and requiring high temporal resolution. In this work, we demonstrate chip-integrated receivers for time-bin entanglement certification including a high-speed optical switch to remove such post-selection loophole. The receivers are realized using thin-film lithium niobate and operate at a switching frequency of 5 GHz, enabling high secure key rates. We demonstrate a Bell inequality violation by more than 24 standard deviations without the need for time resolution at the time-bin separation level.