Liu, YuhongLi, JiaminCui, LiangHuo, NanAssad, Syed M.Li, XiaoyingOu, Z. Y.2019-06-132019-06-132018Liu, Y., Li, J., Cui, L., Huo, N., Assad, S. M., Li, X., & Ou, Z. Y. (2018). Loss-tolerant quantum dense metrology with SU(1,1) interferometer. Optics Express, 26(21), 27705–27715. https://doi.org/10.1364/OE.26.027705https://hdl.handle.net/1805/19612Heisenberg uncertainty relation in quantum mechanics sets the limit on the measurement precision of non-commuting observables in one system, which prevents us from measuring them accurately at the same time. However, quantum entanglement between two systems allows us to infer through Einstein-Podolsky-Rosen correlations two conjugate observables with precision better than what is allowed by Heisenberg uncertainty relation. With the help of the newly developed SU(1,) interferometer, we implement a scheme to jointly measure information encoded in multiple non-commuting observables of an optical field with a signal-to-noise ratio improvement of about 20% over the classical limit on all measured quantities simultaneously. This scheme can be generalized to the joint measurement of information in arbitrary number of non-commuting observables.enAttribution-NonCommercial 3.0 United Statesnoise reductionoptical amplifiersoptical signal to noise ratioArticle