标题： 从线性响应理论确定连续的量子费舍尔信息族 显示英文标题

标题： Determining the Continuous Family of Quantum Fisher Information from Linear Response Theory

摘要： 量子费舍尔信息代表了量子态空间上的连续度量族，并对量子态估计的精度设定了基本限制。 我们表明，整个量子费舍尔信息族可以通过广义协方差从线性响应理论中确定。 我们推导出广义涨落-耗散定理，该定理将线性响应函数与广义协方差相关联，从而允许我们从线性响应函数确定量子费舍尔信息，而线性响应函数是实验上可测量的量。 作为应用，我们研究了热平衡下谐振子的偏斜信息，这是量子费舍尔信息之一，并证明基于偏斜信息的不确定性关系的等式成立。 显示英文摘要

摘要： The quantum Fisher information represents the continuous family of metrics on the space of quantum states and places the fundamental limit on the accuracy of quantum state estimation. We show that the entire family of the quantum Fisher information can be determined from linear response theory through generalized covariances. We derive the generalized fluctuation-dissipation theorem that relates the linear response function to generalized covariances and hence allows us to determine the quantum Fisher information from linear response functions, which is experimentally measurable quantities. As an application, we examine the skew information, which is one of the quantum Fisher information, of a harmonic oscillator in thermal equilibrium, and show that the equality of the skew information-based uncertainty relation holds.