发表机构
Shijiazhuang Tiedao University; University of Science and Technology Beijing（石家庄铁道大学; 北京科技大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出一种基于路径叠加的任意高维纠缠纯化协议，可有效纠正量子位翻转和相位翻转错误，且维度越高鲁棒性越强，所需资源更少，多轮迭代可实现单位保真度，并给出了光子频率自由度的光学实现方案。
AI 中文摘要
高维量子纠缠在各种量子信息处理任务中相较于二维纠缠具有显著优势。我们提出了一种利用路径叠加实现任意高维纠缠纯化协议（HDEPP）的可扩展方法。通过选择合适的单量子门，可以纯化量子位翻转错误和相位翻转错误。反直觉的是，HDEPP 在更高维系统中变得更加鲁棒，并且随着维度的增加，纯化保真度也得到提升。我们的 HDEPP 不仅需要更少的操作资源，而且在原则上可以通过多轮迭代达到单位保真度。此外，我们利用超纠缠开发了可行的光学方案，以纯化遭受量子位翻转和相位翻转错误的光子频率自由度。这项工作为高维量子通信和量子网络铺平了道路。
英文摘要
High-dimensional quantum entanglement offers significant advantages over its two-dimensional counterparts in various quantum information processing tasks. We propose a scalable method for implementing an arbitrary high-dimensional entanglement purification protocol (HDEPP) using path superposition. By selecting appropriate single-qudit gates, qudit-flip errors and phase-flip errors can be purified. Counterintuitively, the HDEPP becomes more robust for higher-dimensional systems and exhibits enhanced purification fidelity as the dimension increases. Our HDEPP not only requires fewer operational resources but also in principle can achieve unity fidelity through multiple rounds of iteration. Furthermore, we develop feasible optical schemes to purify the frequency degree of freedom of photons suffering from qudit-flip and phase-flip errors using hyperentanglement. This work paves the way toward high-dimensional quantum communication and quantum networks.
Comments15 pages, 6 figures
Journal refOptics Express 34(19): 35686 (2026)
