We propose a fast and dephasing-tolerant scheme for the preparation of steady Knill-Laflamme-Milburn (KLM) state between a pair of Rydberg atoms by dissipation. In this scheme, arbitrary initial state can be engineered to the KLM state with high fidelity (99.24%). Compared to most schemes based on Rydberg dissipation dynamics, the time to prepare steady state can be significantly reduced in our scheme $(80 \mu \mathrm{s})$ due to the use of strong resonant dipole-dipole interactions. In addition, the scheme can effectively suppress the dephasing error of the Rydberg atoms caused by interatomic distance fluctuations, which may severely disrupt the desired systematic dynamics. Thus the present scheme is of interest and deserves further experimental investigation to enrich the dissipation dynamics based on the Rydberg atoms.

中文翻译：

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通过耗散里德伯格抽运快速稳定地制备Knill-Laflamme-Milburn稳态相

我们提出了一种快速且耐相移的方案，用于通过耗散来制备一对里德堡原子之间的稳态Knill-Laflamme-Milburn（KLM）状态。在此方案中，可以将高保真度（99.24％）的任意初始状态设计为KLM状态。与大多数基于Rydberg耗散动力学的方案相比，在我们的方案中可以大大减少准备稳态的时间$（80 \mu \mathrm{s}）$由于使用了强共振偶极-偶极相互作用。另外，该方案可以有效地抑制由原子间距离波动引起的里德堡原子的移相误差，这可能严重破坏所需的系统动力学。因此，本方案是令人感兴趣的，值得进一步的实验研究，以丰富基于里德堡原子的耗散动力学。