Characterizing Fisher information of quantum measurement
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909967471083520 |
|---|---|
| author | Saini, Rakesh Kiukas, Jukka Burgarth, Daniel Gilchrist, Alexei |
| author_facet | Saini, Rakesh Kiukas, Jukka Burgarth, Daniel Gilchrist, Alexei |
| contents | Informationally complete measurements form the foundation of universal quantum state reconstruction, while quantum parameter estimation is based on the local structure of the manifold of quantum states. Here we establish a general link between these two aspects, in the context of a single informationally complete measurement, by employing a suitably adapted operator frame theory. In particular, we bound the ratio between the classical and quantum Fisher information in terms of the spectral decomposition of the associated frame operator, and connect these bounds to the optimal and least optimal directions for parameter encoding. The geometric and operational characterization of information extraction thus obtained reveals the fundamental tradeoff imposed by informational completeness on local quantum parameter estimation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15428 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characterizing Fisher information of quantum measurement Saini, Rakesh Kiukas, Jukka Burgarth, Daniel Gilchrist, Alexei Quantum Physics Informationally complete measurements form the foundation of universal quantum state reconstruction, while quantum parameter estimation is based on the local structure of the manifold of quantum states. Here we establish a general link between these two aspects, in the context of a single informationally complete measurement, by employing a suitably adapted operator frame theory. In particular, we bound the ratio between the classical and quantum Fisher information in terms of the spectral decomposition of the associated frame operator, and connect these bounds to the optimal and least optimal directions for parameter encoding. The geometric and operational characterization of information extraction thus obtained reveals the fundamental tradeoff imposed by informational completeness on local quantum parameter estimation. |
| title | Characterizing Fisher information of quantum measurement |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2512.15428 |