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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2511.14950 |
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| _version_ | 1866914163565002752 |
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| author | Yung, Simon K. Yung, C. M. Conlon, Lorcán O. Assad, Syed M. |
| author_facet | Yung, Simon K. Yung, C. M. Conlon, Lorcán O. Assad, Syed M. |
| contents | Optimal measurements for quantum multiparameter estimation are complicated by the uncertainty principle. Generally, there is a trade-off between the precision with which different parameters can be simultaneously estimated. The task of determining the minimum achievable estimation error is a central task of multiparameter quantum metrology. For estimating parameters encoded in pure quantum states, the ultimate limit is known, but is given by the solution of a non-trivial minimisation problem. We present a new expression for the achievable bound for two-parameter estimation with pure states that is considerably simpler. We also determine the optimal measurements, completing the problem of two-parameter estimation with pure state probes. To demonstrate the utility of our result, we determine the precision limit for estimating displacements using grid states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14950 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Most Informative Cramér--Rao Bound for Quantum Two-Parameter Estimation with Pure State Probes Yung, Simon K. Yung, C. M. Conlon, Lorcán O. Assad, Syed M. Quantum Physics Optimal measurements for quantum multiparameter estimation are complicated by the uncertainty principle. Generally, there is a trade-off between the precision with which different parameters can be simultaneously estimated. The task of determining the minimum achievable estimation error is a central task of multiparameter quantum metrology. For estimating parameters encoded in pure quantum states, the ultimate limit is known, but is given by the solution of a non-trivial minimisation problem. We present a new expression for the achievable bound for two-parameter estimation with pure states that is considerably simpler. We also determine the optimal measurements, completing the problem of two-parameter estimation with pure state probes. To demonstrate the utility of our result, we determine the precision limit for estimating displacements using grid states. |
| title | The Most Informative Cramér--Rao Bound for Quantum Two-Parameter Estimation with Pure State Probes |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2511.14950 |