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： 我们提出在里德伯原子中应用弗洛凯理论的新方法，以在原子基态流形中构建量子纠缠门。 通过动态周期性调制原子从基态到里德伯态跃迁的拉比频率，在里德伯阻塞区域可以实现抗错误的两量子比特纠缠门。 根据对弗洛凯理论的不同程度利用，所得控制门的保真度超过了原始参考方案，并且对两个量子比特的拉比误差和控制量子比特的失谐误差表现出高度鲁棒性。 我们的方法仅使用基态编码，与原始方案使用里德伯态进行编码相比，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具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 new applications of Floquet theory in Rydberg atoms for constructing quantum entangling gates in atomic ground-state manifolds. By dynamically 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, and it exhibits high robustness against Rabi error in two qubits and detuning error in the control qubit. 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.