基于经典阴影的保真度 susceptibility 认证
Certified Fidelity Susceptibility from Classical Shadows
AI总结：
该研究结合 Krylov 子空间方法与预解式重述，提出一种利用随机单拷贝测量认证保真度 susceptibility 的方法，所得近似值为精确值的单调下界且几何收敛，并将其应用于计量学与线性静态 susceptibility。
AI中文摘要：
保真度 susceptibility 是探测量子相变和量子计量学的有用工具，但直接在量子设备上评估它颇具挑战。我们结合 Krylov 子空间方法与基于预解式的重述，提出一种利用随机单拷贝测量（经多次基态制备）认证保真度 susceptibility 的方法，所得近似值为精确保真度 susceptibility 的单调下界且呈几何收敛，还将其应用于计量学和线性静态 susceptibility。
英文摘要：
Fidelity susceptibility is a useful probe of quantum phase transitions and quantum metrology, but its direct evaluation on a quantum device is challenging. By integrating Krylov-subspace methods with a resolvent-based reformulation, we present a method for certifying fidelity susceptibility using randomized single-copy measurements across repeated ground-state preparations. The resulting approximations form monotone lower bounds to the exact fidelity susceptibility and converge geometrically. We also present applications to metrology and linear static susceptibilities.
