Revisit on quantum parameter estimation approach for Mach-Zehnder interferometry
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918148476764160 |
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| author | Hu, Bing-Shu Lu, Xiao-Ming |
| author_facet | Hu, Bing-Shu Lu, Xiao-Ming |
| contents | The Mach-Zehnder interferometer is a fundamental tool for measuring phase shifts between two light paths, serving as a crucial prototype for achieving high-precision measurements in various scientific and technological applications. In this study, we analyze different models for estimating relative phase shift in a general two-arm Mach-Zehnder interferometer. We demonstrated that single-parameter estimation models can be reduced from the two-parameter estimation model by imposing appropriate constraints on the parameter space. To make quantum Fisher information of the single-parameter estimation models meaningful, the corresponding constraints must be guaranteed in the experiment implementation. Furthermore, we apply the quantum Fisher information approach to analyze the Mach-Zehnder interferometer with the an input state composed of a displaced squeezed vacuum state and a coherent state, providing insights into the precision limits of such configurations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_14306 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Revisit on quantum parameter estimation approach for Mach-Zehnder interferometry Hu, Bing-Shu Lu, Xiao-Ming Quantum Physics The Mach-Zehnder interferometer is a fundamental tool for measuring phase shifts between two light paths, serving as a crucial prototype for achieving high-precision measurements in various scientific and technological applications. In this study, we analyze different models for estimating relative phase shift in a general two-arm Mach-Zehnder interferometer. We demonstrated that single-parameter estimation models can be reduced from the two-parameter estimation model by imposing appropriate constraints on the parameter space. To make quantum Fisher information of the single-parameter estimation models meaningful, the corresponding constraints must be guaranteed in the experiment implementation. Furthermore, we apply the quantum Fisher information approach to analyze the Mach-Zehnder interferometer with the an input state composed of a displaced squeezed vacuum state and a coherent state, providing insights into the precision limits of such configurations. |
| title | Revisit on quantum parameter estimation approach for Mach-Zehnder interferometry |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2503.14306 |