Title: Optimal control for multi-parameter quantum estimation with time-dependent Hamiltonians Show Chinese title

Title: 多参数量子估计的最优控制与时间依赖哈密顿量

Abstract: We investigate simultaneous estimation of multi-parameter quantum estimation with time-dependent Hamiltonians. We analytically obtain the maximal quantum Fisher information matrix for two-parameter in time-dependent three-level systems. The optimal coherent control scheme is proposed to increase the estimation precisions. In a example of a spin-1 particle in a uniformly rotating magnetic field, the optimal coherent Hamiltonians for different parameters can be chosen to be completely same. However, in general, the optimal coherent Hamiltonians for different parameters are incompatibility. In this situation, we suggest a variance method to obtain the optimal coherent Hamiltonian for estimating multiple parameters simultaneously, and obtain the optimal simultaneous estimation precision of two-parameter in a three-level Landau-Zener Hamiltonian. Show Chinese abstract

Abstract: 我们研究具有时变哈密顿量的多参数量子估计的同时估计。 我们解析地得到了时变三能级系统中两参数的最大量子费舍尔信息矩阵。 提出了最优的相干控制方案以提高估计精度。 在一个自旋-1粒子在均匀旋转磁场中的例子中，不同参数的最优相干哈密顿量可以选择完全相同。 然而，在一般情况下，不同参数的最优相干哈密顿量是不相容的。 在这种情况下，我们建议一种方差方法来获得同时估计多个参数的最优相干哈密顿量，并获得了三能级Landau-Zener哈密顿量中两参数的最优同时估计精度。