We propose a reliable scheme for one-step synthesizing of a quantum fan-out gate in a system of neutral atoms. By introducing the off-resonant driving fields with Gaussian temporal modulation, the dynamics of the system is strictly restricted to the ground-state subspace on the basis of unconventional Rydberg pumping, which exhibits more robustness than the constant driving method against the fluctuation of system parameters, such as operating time and environment noise. As a direct application of this quantum fan-out gate, we discuss in detail the preparation of multipartite Greenberger–Horne–Zeilinger (GHZ) state for neutral atoms. The result shows that a high fidelity better than 99% can be obtained within the state-of-the-art experiments.

中文翻译：

---

中性原子基态流形中基于高斯软控制的量子扇出门

我们为中性原子系统中的量子扇出门的一步合成提出了一种可靠的方案。通过引入具有高斯时间调制的非共振驱动场，在非常规的里德伯格抽运的基础上，系统的动力学被严格地限制在基态子空间中，相对于恒定驱动方法，该系统在抵抗系统参数波动方面表现出更高的鲁棒性。 ，例如工作时间和环境噪音。作为该量子扇出门的直接应用，我们详细讨论了中性原子的多部分格林伯格-霍恩-泽林格（GHZ）态的制备。结果表明，在最新的实验中可以获得高于99％的高保真度。