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

• URL: http://arxiv.org/abs/2310.06605v1
• Date: Tue, 10 Oct 2023 13:13:20 GMT
• Title: High Precision Multi-parameter Weak Measurement with Hermite-Gaussian Pointer
• Authors: Binke Xia, Jingzheng Huang, Chen Fang, Hongjing Li, Guihua Zeng
• Abstract summary: We investigate a general weak measurement formalism with assistance of high-order Hermite-Gaussian pointer and quantum Fisher information matrix. 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.
• Score: 5.647409913773762
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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