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Parameter accuracy analysis of weak-value amplification process in the presence of noise
Affiliation:1.College of Physics, Sichuan University, Chengdu 610064, China;2.Key Laboratory of Photonic and Optical Detection in Civil Aviation and Atmospheric Lidar Institute, Civil Aviation Flight University of China, Guanghan 618300, China;3.Center for Nanofabrication and System Integration, Chongqing Institute of Green and Intelligent Technology, Chinese Academy of Sciences, Chongqing 400714, China
Abstract:We theoretically introduce the statistical uncertainty of photon number and phase error to discuss the precision of parameters to be measured based on weak measurements. When the photon counting scheme is used, we discuss the relative accuracy of the system in the presence of phase error by using the orthogonal and nonorthogonal pre-and postselected states, respectively. When using the measurement scheme of pointer shift, we discuss the measurement accuracy in the presence of phase error, pointer resolution, and statistical uncertainty. These results give a guide way to get the smallest relative precision and deepen our understanding about weak measurement.
Keywords:weak measurement  quantum measurement  accuracy analysis  
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