Quantum Parameter Estimation Uncertainty Relation
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911150946385920 |
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| author | Hu, Bing-Shu Lu, Xiao-Ming |
| author_facet | Hu, Bing-Shu Lu, Xiao-Ming |
| contents | Quantum multiparameter estimation focuses on the simultaneous inference of multiple parameters in quantum systems through measurement and data processing. Its complexity stems from two key factors: measurement incompatibility and parameter correlation. By strategically manipulating the multidimensional parameter space, we derive an estimation uncertainty relation that quantifies how these factors jointly limit estimation precision in the two-parameter case. This uncertainty relation is tight for pure states and thus completely describes the quantum limit of two-parameter estimation precision in a simple inequality. To intuitively illustrate the impact of the uncertainty relation, we develop an error-ellipse method and demonstrate its utility in phase-space displacement estimation. Our results reveal that a geometric perspective of the parameter space offers a powerful approach for addressing multiparameter estimation challenges. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15352 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Parameter Estimation Uncertainty Relation Hu, Bing-Shu Lu, Xiao-Ming Quantum Physics Quantum multiparameter estimation focuses on the simultaneous inference of multiple parameters in quantum systems through measurement and data processing. Its complexity stems from two key factors: measurement incompatibility and parameter correlation. By strategically manipulating the multidimensional parameter space, we derive an estimation uncertainty relation that quantifies how these factors jointly limit estimation precision in the two-parameter case. This uncertainty relation is tight for pure states and thus completely describes the quantum limit of two-parameter estimation precision in a simple inequality. To intuitively illustrate the impact of the uncertainty relation, we develop an error-ellipse method and demonstrate its utility in phase-space displacement estimation. Our results reveal that a geometric perspective of the parameter space offers a powerful approach for addressing multiparameter estimation challenges. |
| title | Quantum Parameter Estimation Uncertainty Relation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2506.15352 |