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arXiv · 2310.06605

High Precision Multi-parameter Weak Measurement with Hermite-Gaussian Pointer

Binke Xia·Jingzheng Huang·Chen Fang·Hongjing Li·Guihua Zeng
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Abstract

The weak value amplification technique has been proved useful for precision metrology in both theory and experiment. To explore the ultimate performance of weak value amplification for multi-parameter estimation, we investigate a general weak measurement formalism with assistance of high-order Hermite-Gaussian pointer and quantum Fisher information matrix. Theoretical analysis shows that the ultimate precision of our scheme is improved by a factor of square root of 2n+1, where n is the order of Hermite-Gaussian mode. Moreover, the parameters' estimation precision can approach the precision limit with maximum likelihood estimation method and homodyne method. We have also given a proof-of-principle experimental setup to validate the H-G pointer theory and explore its potential applications in precision metrology.

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Binke Xia, Jingzheng Huang, Chen Fang, Hongjing Li, Guihua Zeng. 2023-10-10. High Precision Multi-parameter Weak Measurement with Hermite-Gaussian Pointer. https://doi.org/10.1103/physrevapplied.13.034023

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