title: Experimental Demonstration of Higher Precision Weak-Value-Based Metrology Using Power Recycling.
abstract: The weak-value-based metrology is very promising and has attracted a lot of attention in recent years because of its remarkable ability in signal amplification. However, it is suggested that the upper limit of the precision of this metrology cannot exceed that of classical metrology because of the low sample size caused by the probe loss during postselection. Nevertheless, a recent proposal shows that this probe loss can be reduced by the power-recycling technique, and thus enhance the precision of weak-value-based metrology. Here we experimentally realize the power-recycled interferometric weak-value-based beam-deflection measurement and obtain the amplitude of the detected signal and white noise by discrete Fourier transform. Our results show that the detected signal can be strengthened by power recycling, and the power-recycled weak-value-based signal-to-noise ratio can surpass the upper limit of the classical scheme, corresponding to the shot-noise limit. This work sheds light on higher precision metrology and explores the real advantage of the weak-value-based metrology over classical metrology.
authors.affiliation: Key Laboratory of Quantum Information, University of Science and Technology of China, CAS, Hefei 230026, People's Republic of China.|Synergetic Innovation Center of Quantum Information Quantum Physics, University of Science and Technology of China, Hefei 230026, People's Republic of China.
authors.forename: Yi-Tao
authors.initials: YT
authors.lastname: Wang
authors.affiliation: Key Laboratory of Quantum Information, University of Science and Technology of China, CAS, Hefei 230026, People's Republic of China.|Synergetic Innovation Center of Quantum Information Quantum Physics, University of Science and Technology of China, Hefei 230026, People's Republic of China.
authors.forename: Jian-Shun
authors.initials: JS
authors.lastname: Tang
authors.affiliation: Department of Physics, Central China Normal University, Wuhan 430079, People's Republic of China.
authors.forename: Gang
authors.initials: G
authors.lastname: Hu
authors.affiliation: Key Laboratory of Quantum Information, University of Science and Technology of China, CAS, Hefei 230026, People's Republic of China.|Synergetic Innovation Center of Quantum Information Quantum Physics, University of Science and Technology of China, Hefei 230026, People's Republic of China.
authors.forename: Jian
authors.initials: J
authors.lastname: Wang
authors.affiliation: Key Laboratory of Quantum Information, University of Science and Technology of China, CAS, Hefei 230026, People's Republic of China.|Synergetic Innovation Center of Quantum Information Quantum Physics, University of Science and Technology of China, Hefei 230026, People's Republic of China.
authors.forename: Shang
authors.initials: S
authors.lastname: Yu
authors.affiliation: Key Laboratory of Quantum Information, University of Science and Technology of China, CAS, Hefei 230026, People's Republic of China.|Synergetic Innovation Center of Quantum Information Quantum Physics, University of Science and Technology of China, Hefei 230026, People's Republic of China.
authors.forename: Zong-Quan
authors.initials: ZQ
authors.lastname: Zhou
authors.affiliation: Key Laboratory of Quantum Information, University of Science and Technology of China, CAS, Hefei 230026, People's Republic of China.|Synergetic Innovation Center of Quantum Information Quantum Physics, University of Science and Technology of China, Hefei 230026, People's Republic of China.
authors.forename: Ze-Di
authors.initials: ZD
authors.lastname: Cheng
authors.affiliation: Key Laboratory of Quantum Information, University of Science and Technology of China, CAS, Hefei 230026, People's Republic of China.|Synergetic Innovation Center of Quantum Information Quantum Physics, University of Science and Technology of China, Hefei 230026, People's Republic of China.
authors.forename: Jin-Shi
authors.initials: JS
authors.lastname: Xu
authors.affiliation: Department of Physics, Central China Normal University, Wuhan 430079, People's Republic of China.
authors.forename: Sen-Zhi
authors.initials: SZ
authors.lastname: Fang
authors.affiliation: Department of Physics, Central China Normal University, Wuhan 430079, People's Republic of China.
authors.forename: Qing-Lin
authors.initials: QL
authors.lastname: Wu
authors.affiliation: Key Laboratory of Quantum Information, University of Science and Technology of China, CAS, Hefei 230026, People's Republic of China.|Synergetic Innovation Center of Quantum Information Quantum Physics, University of Science and Technology of China, Hefei 230026, People's Republic of China.
authors.forename: Chuan-Feng
authors.initials: CF
authors.lastname: Li
authors.affiliation: Key Laboratory of Quantum Information, University of Science and Technology of China, CAS, Hefei 230026, People's Republic of China.|Synergetic Innovation Center of Quantum Information Quantum Physics, University of Science and Technology of China, Hefei 230026, People's Republic of China.
authors.forename: Guang-Can
authors.initials: GC
authors.lastname: Guo