Factorization dynamics between quantum Fisher information and quantum coherence

@misc{zhao2026factorization,
  title = {{Factorization dynamics between quantum Fisher information and quantum coherence}},
  author = {Xinzhi Zhao and Xinglei Yu and Liangsheng Li and Wenting Zhou and Chengjie Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.36571},
  eprint = {2609.36571},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.36571},
}

TY  - UNPB
TI  - Factorization dynamics between quantum Fisher information and quantum coherence
AU  - Xinzhi Zhao
AU  - Xinglei Yu
AU  - Liangsheng Li
AU  - Wenting Zhou
AU  - Chengjie Zhang
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.36571
UR  - https://arxiv.org/abs/2609.36571
AB  - Quantum Fisher information (QFI) quantifies the sensitivity of a quantum state to a parameter change and plays a key role in quantum metrology. Meanwhile, quantum coherence is a crucial resource for quantum information processing. However, despite extensive studies on various aspects of quantum metrology, the interplay between the dynamics of the QFI and quantum coherence remains unexplored. Here, we explore the factorization relationship between the QFI and quantum coherence, both theoretically and experimentally. We prepare pure states in qubit and qutrit systems and apply unitary evolution to investigate this relationship. Our results confirm the factorization law, offering strong evidence for this relationship. Furthermore, we establish a lower bound on the variance of the estimated parameter that does not require the final state information. This approach reveals a deep connection between the QFI and quantum coherence, providing insights into quantum parameter estimation. These findings have potential applications in quantum sensing and quantum metrology.
ER  -