Photonic Metrology with Hierarchic Quantum Frequentist Bounds
Quantum metrology establishes fundamental precision limits for parameter estimation, yet standard Quantum Cramér‐Rao Bound (QCRB) becomes insufficient in the finite‐data regime. In this article, the QCRB is systematically tighten using a hybrid classical‐quantum framework by incorporating generalized unbiasedness constraints through test observables. These frequentist bounds form a hierarchy converging asymptotically to the QCRB as more measurements are performed. These hierarchical frequentist bounds are validated for single‐qubit phase estimation on a photonic platform.
Authors
- Xue Yang (ORCID: https://orcid.org/0000-0002-3328-0673)
- Augusto Smerzi (ORCID: https://orcid.org/0000-0002-4967-6939)
- Manuel Gessner (ORCID: https://orcid.org/0000-0003-4203-0366)
- Ming‐Xing Luo (ORCID: https://orcid.org/0009-0008-5281-3114)
- Yan‐Han Yang
- Weidong Li (ORCID: https://orcid.org/0000-0001-7865-0685)
- Xin‐Zhu Liu
Institutions
- Universitat de València (ES)
- Hefei University (CN)
- Shenzhen Technology University (CN)
- Quantum Science and Technology in Arcetri (IT)
- Southwest Jiaotong University (CN)
Publication Details
- Journal
- Advanced Photonics Research
- Published
- 2025-11-03
- DOI
- https://doi.org/10.1002/adpr.202500199
- Primary Topic
- Quantum Information and Cryptography
- Type
- article
- Field-Weighted Citation Impact
- 0.00