AI 中文总结
研究分子二聚体中温度\(T\)和失谐\(\Lambda\)的多参数量子估计，采用矢量化方法推导量子费希尔信息矩阵分析精度极限，发现近共振和低温时同时估计更优，温度是关键控制参数，凸显分子量子系统用于多参数量子传感的潜力。
AI 中文摘要
我们研究了由两个偶极-偶极相互作用的两能级系统组成的分子二聚体中的多参数量子估计，重点是温度\(T\)和失谐\(\Lambda\)的同时估计。通过采用矢量化方法推导量子费希尔信息矩阵，我们分析了同时估计和单独估计策略的精度极限。结果表明，在近共振和低温区域，同时估计优于单独估计，而在失谐条件和温度升高时其优势逐渐减小。我们的结果表明温度是控制估计精度的关键参数，为量子计量学提供了统一视角，突出了分子量子系统作为多参数量子传感现实平台的潜力。
英文摘要
We investigate multiparameter quantum estimation in a molecular dimer composed of two dipole--dipole interacting two-level systems, focusing on the simultaneous estimation of temperature $T$ and detuning $Λ$. By employing a vectorization approach to derive the quantum Fisher information matrix, we analyze the precision limits of both simultaneous and individual estimation strategies. We show that simultaneous estimation outperforms the individual one in the near-resonant and low-temperature regime, where quantum coherence is enhanced, while its advantage is progressively reduced under detuned conditions and increasing temperature. Our results demonstrate that temperature acts as a key control parameter governing both estimation precision providing a unified perspective on quantum metrology. These findings highlight the potential of molecular quantum systems as realistic platforms for multiparameter quantum sensing.
Comments6 pages, 3 figures
