发表机构
Indian Institute of Technology Roorkee（印度理工学院罗基尔分校）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究提出了囚禁中性原子中有限能量GKP量子比特的通用逻辑门集，采用魔阱条件实现无测量的逻辑控制，基于⁸⁸Sr原子的实验显示门保真度达0.985以上，为相关量子控制提供了可行途径。
AI 中文摘要
我们提出了一套用于囚禁中性原子中以简谐运动态编码的有限能量Gottesman-Kitaev-Preskill（GKP）量子比特的通用逻辑门集。内部电子态作为辅助量子比特，用于在相空间中实现依赖于态的条件位移，从而实现任意单量子比特相位门。瞬态里德伯激发介导的原子偶极-偶极相互作用可实现受控Z门，无需调用阻塞机制。这些门在 magic-trapping（魔阱）条件下工作，允许在整个门序列中持续囚禁，从而在无需中间测量或前馈的情况下保持运动编码。我们使用中性⁸⁸Sr原子评估了所提方案的实验可行性，在有限压缩参数Δ=0.25（对应12 dB压缩）下，单量子比特相位门的平均门保真度为0.986，受控Z门的平均门保真度为0.985；当Δ达到0.1时，两者分别提升至0.997和0.995。这些结果为中性原子架构中运动型GKP量子比特的通用、无测量逻辑控制提供了一条途径。
英文摘要
We present a universal logical gate set for finite-energy Gottesman-Kitaev-Preskill (GKP) qubits encoded in the harmonic motional states of trapped neutral atoms. Internal electronic states serve as ancilla for implementing state-dependent conditional displacements in phase space, enabling arbitrary single-qubit phase gates. A Transient Rydberg excitation-mediated atomic dipole-dipole interaction enables a controlled-Z gate without invoking the blockade mechanism. The gates operate under magic-trapping conditions, allowing continuous trapping throughout the gate sequence, thereby preserving the motional encoding without intermediate measurement or feedforward. We assess the experimental feasibility of the proposed protocols using neutral $^{88}\mathrm{Sr}$ atoms and obtain average gate fidelities of $0.986$ for single-qubit phase gates and $0.985$ for the controlled-Z gate at a finite squeezing parameter of $Δ=0.25$ (12 dB of squeezing), increasing to $0.997$ and $0.995$ respectively as $Δ$ reaches $0.1$. These results provide a route toward universal, measurement-free logical control of motional GKP qubits in neutral-atom architectures.
