发表机构
School of Physical Science and Technology, Ningbo University; National Key Laboratory of Scattering and Radiation（宁波大学物理科学与技术学院; 散射与辐射国家重点实验室）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究从理论和实验上探索了量子Fisher信息与量子相干性之间的因子化关系，在量子比特和量子三态系统中验证了该定律，并建立了无需最终状态信息的参数方差下界，为量子参数估计提供了新见解。
AI 中文摘要
量子Fisher信息（QFI）量化了量子态对参数变化的灵敏度，在量子计量学中起着关键作用。同时，量子相干性是量子信息处理的重要资源。然而，尽管对量子计量学的各个方面进行了广泛研究，QFI与量子相干性动力学之间的相互作用仍未得到探索。在此，我们从理论和实验两方面探讨了QFI与量子相干性之间的因子化关系。我们制备了量子比特和量子三态系统中的纯态，并施加酉演化来研究这种关系。我们的结果证实了因子化定律，为这种关系提供了强有力的证据。此外，我们建立了估计参数方差的下界，该下界不需要最终状态信息。这种方法揭示了QFI与量子相干性之间的深层联系，为量子参数估计提供了见解。这些发现可能在量子传感和量子计量学中具有潜在应用。
英文摘要
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.
Comments10+15 pages, 4+2 figures
Journal refScience Advances 11, eadv8132 (2025)
