Reverse engineering of one-qubit filter functions with dynamical invariants
Reverse engineering of one-qubit filter functions with dynamical invariants
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DOI：
10.1103/physreva.106.032611
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发表时间：
2022-04
影响因子：
2.9
通讯作者：
R. K. Colmenar;J. Kestner
中科院分区：
文献类型：
--
作者：
R. K. Colmenar;J. Kestner
利用动力学不变量理论和哈密顿逆工程，导出了任意一量子比特门的滤波传递函数的积分表达式。我们利用这一结果来定义一个成本函数，该成本函数可以被有效地优化以产生对噪声功率谱密度的特定频带具有鲁棒性的一量子比特控制脉冲。我们通过产生设计来抑制宽带失谐和脉冲幅度噪声的最优控制脉冲来证明我们的结果的有效性。我们报告说，与已知的复合脉冲序列相比，门保真度提高了一个数量级。更广泛地说，我们还用相同的理论框架证明了非绝热几何量子门在特定的误差模型和控制约束下的鲁棒性。
We derive an integral expression for the filter-transfer function of an arbitrary one-qubit gate through the use of dynamical invariant theory and Hamiltonian reverse engineering. We use this result to define a cost function which can be efficiently optimized to produce one-qubit control pulses that are robust against specified frequency bands of the noise power spectral density. We demonstrate the utility of our result by generating optimal control pulses that are designed to suppress broadband detuning and pulse amplitude noise. We report an order of magnitude improvement in gate fidelity in comparison with known composite pulse sequences. More broadly, we also use the same theoretical framework to prove the robustness of nonadiabatic geometric quantum gates under specific error models and control constraints.