论文标题
具有动态不变的一量点滤波器功能的逆向工程
Reverse engineering of one-qubit filter functions with dynamical invariants
论文作者
论文摘要
我们通过使用动态不变理论和汉密尔顿反向工程来得出任意单量门的过滤器转移函数的积分表达式。我们使用此结果来定义一个成本函数，该成本函数可以有效地优化以产生一量对照脉冲，这些脉冲脉冲与噪声功率频谱密度的指定频带可靠。我们通过生成旨在抑制宽带失调和脉冲振幅噪声的最佳对照脉冲来证明结果的实用性。与已知的复合脉冲序列相比，我们报告了栅极保真度的数量级改善。更广泛地说，我们还使用相同的理论框架来证明在特定的误差模型和控制约束下，非绝热几何量子门的鲁棒性。
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.
