发表机构
University of Washington（华盛顿大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对中性原子架构，对比平面与三维嵌入的[[144,12,12]]双变量自行车码，发现三维嵌入可大幅提升逻辑量子比特密度、缩短症候群提取时间，凸显三维控制对高效量子纠错的重要性。
AI 中文摘要
高码率量子低密度奇偶校验（qLDPC）码相较于表面码可大幅降低量子比特开销，但其优势取决于非局域症候群提取的高效实现。本文研究了中性原子架构下具有原生三维（3D）几何的[[144,12,12]]双变量自行车码，在固定码的前提下对比了平面嵌入与三维嵌入方案。我们用逻辑量子比特密度（定义为单位空间 footprint 内的编码逻辑量子比特数）表征空间效率，由于光控制器的视场限制了阵列的横向范围，该指标可估算固定光视场内可容纳的逻辑量子比特数量。三维嵌入的面逻辑量子比特密度约为平面布局的4倍，是表面码基线的42倍；同时，其双变量自行车码的症候群提取时间较平面基线缩短约2倍，且移动操作更少、原子输运距离大幅缩短。原生三维几何可提升非局域qLDPC码的 packing 密度与可执行实现，使实际性能取决于码结构、光学几何、输运调度及硬件级噪声的共同作用，这推动了三维控制技术的进一步发展。
英文摘要
High-rate quantum low-density parity-check (qLDPC) codes can substantially reduce qubit overhead relative to surface codes, but their advantage depends on efficiently realizing nonlocal syndrome extraction. We study the \([[144,12,12]]\) bivariate bicycle code on a neutral-atom architecture with native three-dimensional (3D) geometry, comparing planar and 3D embeddings while holding the code fixed. We characterize spatial efficiency using the logical-qubit density, defined as the number of encoded logical qubits per unit spatial footprint. Because the optical controller's field of view limits the transverse extent of an array, this metric estimates the number of logical qubits that can be accommodated within a fixed optical field of view. The 3D embedding achieves approximately \(4\times\) greater areal logical-qubit density than the planar layout and \(42\times\) greater than a surface-code baseline. It also reduces the bivariate bicycle syndrome-extraction time by roughly \(2\times\) compared to a planar baseline, with fewer movement operations and substantially shorter atom-transport distance. Native 3D geometry can improve both the packing density and executable realization of nonlocal qLDPC codes, making practical performance depend jointly on code structure, optical geometry, transport scheduling, and hardware-level noise. This motivates further development of control techniques in 3D.
Comments28 pages, 6 figures
