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Enhancing Quantum Metrology with High-order Fisher Information and Experiments
by Xin-Zhu Liu, Jun-Li Jiang, Yan-Han Yang, Li-Ming Zhao, Xue Yang, Shao-Ming Fei and Ming-Xing Luo
Submission summary
| Authors (as registered SciPost users): | Ming-Xing Luo |
| Submission information | |
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| Preprint Link: | scipost_202509_00041v1 (pdf) |
| Date submitted: | Sept. 23, 2025, 4:19 p.m. |
| Submitted by: | Ming-Xing Luo |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Experimental |
Abstract
Fisher information plays a central role in statistics and quantum metrology, providing the basis for the celebrated Cramér-Rao bound. In this work, we introduce a new information measure based on higher-order Fisher information and show that it naturally leads to a generalized uncertainty relation for parameter estimation, which can be regarded as an extension of the Cramér-Rao bound. As an application, we analyze the case of quantum phase estimation with a single qubit and compare our theoretical bounds with the well-known established hierarchical bounds. Finally, we experimentally validate the proposed framework using a photonic platform.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Current status:
In refereeing