Researchers at the Heinz Nixdorf Institute and the Institute for Photonic Quantum Systems (PhoQS) have succeeded in realizing a lidar measurement system that can mathematically prove that it can resolve distances down to quantum noise. By using a so-called quantum pulse gate, the researchers succeeded in developing a system that could undercut the classical limits, such as the Rayleigh distance resolution limit and the Cramér Rao limit.
Further research results can be found here: "S. Kruse et al, "A Pulsed Lidar System With Ultimate Quantum Range Accuracy," in IEEE Photonics Technology Letters, vol. 35, no. 14, pp. 769-772, July 15, 2023, doi: 10.1109/LPT.2023.3277515.“