To achieve scalable quantum computing, improving entangling-gate fidelity and its implementation efficiency are of utmost importance. We present here a linear method to construct provably power-optimal entangling gates on an arbitrary pair of qubits on a trapped-ion quantum computer. This method leverages simultaneous modulation of amplitude, frequency, and phase of the beams that illuminate the ions and, unlike the state of the art, does not require any search in the parameter space. The linear method is extensible, enabling stabilization against external parameter fluctuations to an arbitrary order at a cost linear in the order. We implement and demonstrate the power-optimal, stabilized gate on a trapped-ion quantum computer.

为了实现可扩展的量子计算，提高纠缠门保真度及其实现效率至关重要。我们在这里提出了一种线性方法，用于在俘获离子量子计算机上的任意一对量子位上构建可证明的功率最优纠缠门。该方法利用照射离子的光束的幅度、频率和相位的同时调制，并且与现有技术不同，不需要在参数空间中进行任何搜索。线性方法是可扩展的，能够以阶数线性的成本稳定外部参数波动到任意阶数。我们在俘获离子量子计算机上实现并演示了功率最优的稳定门。