有限时间量子控制中基于保真度的鲁棒性余量
Fidelity-Based Robustness Margins for Finite-Time Quantum Control
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中文总结 AI 辅助
针对有限时间量子控制，提出基于保真度阈值的鲁棒性余量方法，通过迭代一维方式获取安全扰动半径，三量子比特示例显示该余量含结构相关信息且控制器间差异可达三倍。
中文摘要 AI 辅助
针对分段常数相干控制下的有限维封闭量子系统，我们提出了一种具有特定结构的保真度阈值鲁棒性余量。标量物理参数可能在控制时域内扰动漂移项、控制哈密顿量或其他指定的哈密顿量分量。迹振幅门保真度的微分灵敏度界给出了连通安全参数分量上与阈值相关的Lipschitz常数，进而得到经认证的有限扰动半径。将该证书重新中心化，可生成一种迭代一维方法，该方法能在任一参数方向上向首个保真度阈值边界推进并采取经认证的安全步长。一个三量子比特门控示例表明，在标称保真度相近的控制器中，这些有限余量的差异可达三倍，且包含仅靠标称微分灵敏度无法捕捉的结构相关信息。
英文摘要
We develop a structure-specific fidelity-threshold robustness margin for finite-dimensional closed quantum systems under piecewise-constant coherent control. A scalar physical parameter may perturb the drift, a control Hamiltonian, or another declared Hamiltonian component across the control horizon. A differential sensitivity bound for trace-amplitude gate fidelity yields a threshold-dependent Lipschitz constant on the connected safe parameter component and hence a certified finite perturbation radius. Recentering this certificate produces an iterative one-dimensional method that takes certified safe steps toward the first fidelity-threshold boundary in either parameter direction. A three-qubit gate-control example shows that these finite margins vary by up to a factor of three across controllers of comparable nominal fidelity and contain structure-dependent information not captured by nominal differential sensitivity alone.
