Classical-Correlation-Enhanced Weak-Value Amplification Resilient to Persistent Noises

Authors

• Xu-Song Hong, University of Science and Technology of China
• Gong-Chu Li, University of Science and Technology of China
• Lei Chen, University of Science and Technology of China
• Si-Qi Zhang, University of Science and Technology of China
• Hua-Qin Xu, University of Science and Technology of China
• Yuancheng Liu, University of Science and Technology of China
• Shengshi Pang, Hefei National Laboratory
• Andrew N. Jordan, Chapman UniversityFollow
• Geng Chen, University of Science and Technology of China
• Chuan-Feng Li, University of Science and Technology of China
• Guang-Can Guo, University of Science and Technology of China

Document Type

Article

Publication Date

5-27-2026

Abstract

Weak measurement (WM) offers the advantage of amplifying small signals at the cost of postselecting a small portion of the probes. This so-called weak-value amplification effect makes it compare favorably with conventional techniques (without postselection) to overcome various technical noises. However, certain types of technical noise, such as jitter and pixelation, present insurmountable limitations for both WM and conventional techniques. In this work, we propose an advanced variant of WM that incorporates time-momentum correlation (TMC) into biased weak measurement (BWM). By employing the Fisher information metric, we theoretically show that TMC-BWM can overcome jitter and pixelation, and meanwhile extract significantly higher Fisher information. This dual advantage was experimentally validated in a magnetic-sensing application when applying severe jitter and pixelation, and it remains robust under natural conditions, achieving a 24.8-dB improvement in precision over the standard WM scheme. Moreover, merely classical resources are required to achieve this dual metrological advantage.

Comments

This article was originally published in Physical Review Applied, volume 25, in 2026. https://doi.org/10.1103/755l-23f6

Recommended Citation

X.-S. Hong, G.-C. Li, L. Chen, S.-Q. Zhang, H.-Q. Xu, Y. Liu, S. Pang, A. N. Jordan, G. Chen, et al. Classical-correlation-enhanced weak-value amplification resilient to persistent noises, Phys. Rev. Applied 25, 054071 (2026). https://doi.org/10.1103/755l-23f6

Peer Reviewed

1

Copyright

American Physical Society