Transfer of Fisher information in quantum postselection metrology

doi:10.1088/1674-1056/ae194f

中国物理B ›› 2026, Vol. 35 ›› Issue (7): 74203-074203.doi: 10.1088/1674-1056/ae194f

Transfer of Fisher information in quantum postselection metrology

Zi-Rui Zhong(钟子瑞), Ke-Xuan Chen(陈可轩), Xia-Lin Su(苏夏临), Hui-Lin Xu(徐惠林), Yan Zhang(张妍), Xiang-Ming Hu(胡响明), and Qing-Lin Wu(吴青林)†

Department of Physics, Central China Normal University, Wuhan 430079, China

收稿日期:2025-08-09 修回日期:2025-10-28 接受日期:2025-10-30 发布日期:2026-07-07
通讯作者: Qing-Lin Wu E-mail:qlwu@ccnu.edu.cn
基金资助:
Project supported by the Fundamental Research Funds for the Central Universities (Grants No. XJ2026003001) and the National Natural Science Foundation of China (Grants Nos. U25D8007, 61875067, and 12274164).

Transfer of Fisher information in quantum postselection metrology

Zi-Rui Zhong(钟子瑞), Ke-Xuan Chen(陈可轩), Xia-Lin Su(苏夏临), Hui-Lin Xu(徐惠林), Yan Zhang(张妍), Xiang-Ming Hu(胡响明), and Qing-Lin Wu(吴青林)†

Department of Physics, Central China Normal University, Wuhan 430079, China

Received:2025-08-09 Revised:2025-10-28 Accepted:2025-10-30 Published:2026-07-07
Contact: Qing-Lin Wu E-mail:qlwu@ccnu.edu.cn
Supported by:
Project supported by the Fundamental Research Funds for the Central Universities (Grants No. XJ2026003001) and the National Natural Science Foundation of China (Grants Nos. U25D8007, 61875067, and 12274164).

摘要/Abstract

摘要： Postselected weak measurement has shown significant potential for detecting small physical effects due to its unique weak-value-amplification phenomenon. Previous works suggest that Heisenberg-limit precision can be attained using optical coherent states. However, the observed Heisenberg scaling requires a measurement of the distribution of postselection probability, exhibiting no implementation pathway through conventional measurement paradigms. Here, we demonstrate that the output photons can also reach the Heisenberg scale by utilizing the Fisher information transfer effect, while this scenario exhibits enhanced robustness against dephasing noise. In addition, we consider the insertion of a power-recycling cavity and demonstrate its positive impact on the distribution of postselection. Our results enhance the quantum metrological advantages of the postselection strategy and broaden its application scope.

关键词: optics, weak value, robustness

Abstract: Postselected weak measurement has shown significant potential for detecting small physical effects due to its unique weak-value-amplification phenomenon. Previous works suggest that Heisenberg-limit precision can be attained using optical coherent states. However, the observed Heisenberg scaling requires a measurement of the distribution of postselection probability, exhibiting no implementation pathway through conventional measurement paradigms. Here, we demonstrate that the output photons can also reach the Heisenberg scale by utilizing the Fisher information transfer effect, while this scenario exhibits enhanced robustness against dephasing noise. In addition, we consider the insertion of a power-recycling cavity and demonstrate its positive impact on the distribution of postselection. Our results enhance the quantum metrological advantages of the postselection strategy and broaden its application scope.

Key words: optics, weak value, robustness

中图分类号: (Optical tests of quantum theory)

42.50.Xa

03.65.Ta (Foundations of quantum mechanics; measurement theory) 06.30.Gv (Velocity, acceleration, and rotation)

Zi-Rui Zhong(钟子瑞), Ke-Xuan Chen(陈可轩), Xia-Lin Su(苏夏临), Hui-Lin Xu(徐惠林), Yan Zhang(张妍), Xiang-Ming Hu(胡响明), and Qing-Lin Wu(吴青林). Transfer of Fisher information in quantum postselection metrology[J]. 中国物理B, 2026, 35(7): 74203-074203.

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Transfer of Fisher information in quantum postselection metrology

Transfer of Fisher information in quantum postselection metrology

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