近日，复旦大学的夏岩&陈叶鸿及其研究团队取得一项新进展。经过不懈努力，他们利用基于不变量的逆向工程实现与里德伯原子的非绝热完整交换门。相关研究成果已于2024年6月17日在国际知名学术期刊《物理评论A》上发表。

本文提出了一个用里德伯原子实现非绝热完整交换门的单步方案。通过基于不变量的逆向工程设计系统的有效哈密顿量，找到了实现非绝热完整量子计算的合适演化路径。此外，在参数选择上考虑了系统误差敏感性失效最优控制方法，以确保该方案对脉冲中的系统误差具备较强的鲁棒性。研究人员还估计了随机噪声、脉冲的随机初始相位、多普勒频移和退相干对方案的影响。

数值结果表明，该方案对这些不利因素具有较好的抑制效果。最后，研究人员对该方案进行了推广，实现了非克利福德交换门。因此，该方案可以为实现具有里德伯原子的高保真鲁棒交换门和非克利福德交换门，提供一个可行的框架。

附：英文原文

Title: Effective nonadiabatic holonomic swap gate with Rydberg atoms using invariant-based reverse engineering

Author: Yang Xiao, Yi-Hao Kang, Ri-Hua Zheng, Jie Song, Ye-Hong Chen, Yan Xia

Issue&Volume: 2024/06/17

Abstract: In this paper, we propose a one-step scheme for implementing the nonadiabatic holonomic swap gate with Rydberg atoms. By applying invariant-based reverse engineering to design the effective Hamiltonian of the system, a suitable evolution path for implementing nonadiabatic holonomic quantum computation is found. In addition, the systematic-error-sensitivity nullified optimal control method is considered in the parameter selections, so that the scheme is insensitive to the systematic error of pulses. We also estimate the effects of random noise, the random initial phase of the pulses, the Doppler shift, and decoherence on the scheme. The numerical results show that the scheme exhibits fairly good performance against these negative factors. Finally, we generalize the scheme to realize the non-Clifford swap gates. Therefore, this scheme can provide a feasible framework for implementing high-fidelity and robust swap gates and non-Clifford swap gates with Rydberg atoms.

DOI: 10.1103/PhysRevA.109.062610

Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.109.062610