We study the robustness of the evolution of a quantum system against small uncontrolled variations in parameters in the Hamiltonian. We show that the fidelity susceptibility, which quantifies the perturbative error to leading order, can be expressed in superoperator form and use this to derive control pulses that are robust to any class of systematic unknown errors. The proposed optimal control protocol is equivalent to searching for a sequence of unitaries that mimics the first-order moments of the Haar distribution, i.e., it constitutes a 1-design. We highlight the power of our results for error-resistant single- and two-qubit gates.

中文翻译：

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普遍稳健的量子控制

我们研究量子系统演化对哈密顿量中参数的微小不受控制变化的鲁棒性。我们证明，保真度敏感性（将微扰误差量化为前导阶数）可以用超算子形式表示，并使用它来导出对任何类别的系统未知误差都具有鲁棒性的控制脉冲。所提出的最优控制协议相当于搜索一系列模仿Haar分布一阶矩的酉序列，即构成1-设计。我们强调了我们的抗错单量子位门和双量子位门结果的力量。