Parameter accuracy analysis of weak-value amplification process in the presence of noise

doi:10.1088/1674-1056/abcfa0

中国物理B ›› 2021, Vol. 30 ›› Issue (6): 64216-064216.doi: 10.1088/1674-1056/abcfa0

Parameter accuracy analysis of weak-value amplification process in the presence of noise

Jiangdong Qiu(邱疆冬)¹, Zhaoxue Li(李兆雪)¹, Linguo Xie(谢林果)², Lan Luo(罗兰)¹, Yu He(何宇)¹, Changliang Ren(任昌亮)^3,†, Zhiyou Zhang(张志友)^1,‡, and Jinglei Du(杜惊雷)¹

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

收稿日期:2020-11-03 修回日期:2020-11-25 接受日期:2020-12-02 出版日期:2021-05-18 发布日期:2021-06-09
通讯作者: Changliang Ren, Zhiyou Zhang E-mail:renchangliang@cigit.ac.cn;zhangzhiyou@scu.edu.cn
基金资助:
Project supported by the National Key Research and Development Program of China (Grant No. 2017YFA0305200), the National Natural Science Foundation of China (Grant Nos. 11674234 and 11605205), the Natural Science Foundation of Chongqing (Grant Nos. cstc2015jcyjA00021 and cstc2018jcyjAX0656), the Innovation Project of Sichuan University (Grant No. 2018SCUH0021), the Youth Innovation Promotion Association Program of the Chinese Academy of Sciences (CAS) (Grant No. No. 2015317), the Entrepreneurship and Innovation Support Program for Chongqing Overseas Returnees (Grant Nos. cx2017134 and cx2018040), the Fund of CAS Key Laboratory of Microscale Magnetic Resonance, and the Fund of CAS Key Laboratory of Quantum Information.

Parameter accuracy analysis of weak-value amplification process in the presence of noise

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

Received:2020-11-03 Revised:2020-11-25 Accepted:2020-12-02 Online:2021-05-18 Published:2021-06-09
Contact: Changliang Ren, Zhiyou Zhang E-mail:renchangliang@cigit.ac.cn;zhangzhiyou@scu.edu.cn
Supported by:
Project supported by the National Key Research and Development Program of China (Grant No. 2017YFA0305200), the National Natural Science Foundation of China (Grant Nos. 11674234 and 11605205), the Natural Science Foundation of Chongqing (Grant Nos. cstc2015jcyjA00021 and cstc2018jcyjAX0656), the Innovation Project of Sichuan University (Grant No. 2018SCUH0021), the Youth Innovation Promotion Association Program of the Chinese Academy of Sciences (CAS) (Grant No. No. 2015317), the Entrepreneurship and Innovation Support Program for Chongqing Overseas Returnees (Grant Nos. cx2017134 and cx2018040), the Fund of CAS Key Laboratory of Microscale Magnetic Resonance, and the Fund of CAS Key Laboratory of Quantum Information.

摘要/Abstract

摘要： 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 post-selected 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.

关键词: weak measurement, quantum measurement, accuracy analysis

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 post-selected 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.

Key words: weak measurement, quantum measurement, accuracy analysis

中图分类号: (Optical angular momentum and its quantum aspects)

42.50.Tx

03.65.Ta (Foundations of quantum mechanics; measurement theory) 42.50.Xa (Optical tests of quantum theory)

Jiangdong Qiu(邱疆冬), Zhaoxue Li(李兆雪), Linguo Xie(谢林果), Lan Luo(罗兰), Yu He(何宇), Changliang Ren(任昌亮), Zhiyou Zhang(张志友), and Jinglei Du(杜惊雷). Parameter accuracy analysis of weak-value amplification process in the presence of noise[J]. 中国物理B, 2021, 30(6): 64216-064216.

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Parameter accuracy analysis of weak-value amplification process in the presence of noise

Parameter accuracy analysis of weak-value amplification process in the presence of noise

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