PreprintCC BY 4.0arXiv
Enhancing Quantum Metrology with High-order Fisher Information and Experiments
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.
Related
- PhD thesis: Modes, States, and Symmetries in quantum Optics for quantum Information and Metrology
- The exact information cost of randomized measurements in quantum metrology
- Evaluation of the quantum Fisher information for large systems via an ancilla
- Quantum Fisher information of the Klein--Gordon and Dirac vacua
- Nonlocal effects via Local Quantum Fisher Information: Characterizations and Interpretations
BibTeX
@misc{liu2026enhancing,
title = {{Enhancing Quantum Metrology with High-order Fisher Information and Experiments}},
author = {Xin-Zhu Liu and Jun-Li Jiang and Yan-Han Yang and Li-Ming Zhao and Xue Yang and Shao-Ming Fei and Ming-Xing Luo},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.27633},
eprint = {2606.27633},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.27633},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Enhancing Quantum Metrology with High-order Fisher Information and Experiments
AU - Xin-Zhu Liu
AU - Jun-Li Jiang
AU - Yan-Han Yang
AU - Li-Ming Zhao
AU - Xue Yang
AU - Shao-Ming Fei
AU - Ming-Xing Luo
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2606.27633
UR - https://arxiv.org/abs/2606.27633
AB - 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.
ER -