We present an efficient approach to achieving arbitrary, high-fidelity control of a multilevel quantum system using optimal control techniques. As an demonstration, we implement a continuous, software-defined microwave pulse to realize a $0\leftrightarrow 2$ SWAP gate that achieves an average gate fidelity of 99.4%. We describe our procedure for extracting the system Hamiltonian, calibrating the quantum and classical hardware chain, and evaluating the gate fidelity. Our work represents an alternative, fully generalizable route towards achieving universal quantum control by leveraging optimal control techniques.

中文翻译：

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超导Qudit上的高保真软件定义量子逻辑

我们提出了一种使用最佳控制技术来实现多级量子系统的任意，高保真控制的有效方法。作为演示，我们实现了软件定义的连续微波脉冲，以实现$0\leftrightarrow 2$SWAP门可实现99.4％的平均门保真度。我们描述了提取系统哈密顿量，校准量子和经典硬件链以及评估门保真度的过程。我们的工作代表了利用最佳控制技术实现通用量子控制的另一种完全通用的途径。