标题： 里德伯原子基态流形中的弗洛凯几何纠缠门 显示英文标题

标题： Floquet geometric entangling gates in ground-state manifolds of Rydberg atoms

摘要： 我们提出了一种弗洛凯理论的扩展，用于在里德伯原子基态流形中构建量子纠缠门。 通过动态控制原子从基态到里德伯态跃迁的拉比频率的周期性调制，在里德伯阻塞区域可以实现抗错误的两量子比特纠缠门。 根据弗洛凯理论的不同利用程度，所得受控门的保真度超过了原始参考方案的保真度。 我们的方法仅使用基态编码，与原来使用里德伯态进行编码的方案相比，它更不易受到环境干扰，因此更易于实现。 因此，我们的方法可能在中性原子的几何量子计算中有更广泛的应用或进一步扩展的潜力。 显示英文摘要

摘要： We propose an extension of the Floquet theory for constructing quantum entangling gates in ground-state manifolds of Rydberg atoms. By dynamically controlling periodically modulating the Rabi frequencies of transitions between ground and Rydberg states of atoms, error-resilient two-qubit entangling gates can be implemented in the regime of Rydberg blockade. According to different degrees of Floquet theory utilization, the fidelity of the resulting controlled gates surpasses that of the original reference. Our method only uses encoding in the ground states, and compared to the original scheme using Rydberg state for encoding, it is less susceptible to environmental interference, making it more practical to implement. Therefore, our approach may have broader applications or potential for further expansion of geometric quantum computation with neutral atoms.