AI 中文总结
研究如何利用纠缠纯化协议从大量低纠缠GHZ态中提取高质量任意d维n体GHZ态子集，可纠正量子位翻转和相位翻转误差，通过迭代提高输出态保真度，不受污染光子数影响，为高维多体纠缠纯化提供替代方法。
AI 中文摘要
高维量子位（即d能级或d态）系统在某些量子信息处理任务中优于二维量子比特（即2能级或2态）系统。我们利用纠缠纯化协议（EPPs）从大量纠缠度较低的GHZ态中提取高质量任意d维n体格林伯格-霍恩-泽林格（GHZ）态的子集。在我们的协议中，量子位翻转和相位翻转误差可以被纠正，通过迭代EPP过程，输出态的保真度可以渐近提高到1。此外，该方案不受污染光子数量的影响，给出了所提EPPs的保真度阈值，并且基于空间的单量子位操作可以通过一系列平衡分束器和移相器得到很好的控制。这些特性使得所提方案为高维多体纠缠纯化提供了一种替代方法。
英文摘要
High-dimensional qudit (i.e., $d$-level or $d$-state) systems outperform two-dimensional qubit (i.e., 2-level or 2-state) systems in some quantum information processing tasks. We exploit entanglement purification protocols (EPPs) for extracting a subset of high quality arbitrary $d$-dimensional $n$-partite Greenberger-Horne-Zeilinger (GHZ) states from a large set of less entangled GHZ states. In our protocols, qudit-flip and phase-flip errors can be corrected, and the fidelity of the output state can be asymptotically improved to unity by iterating the EPP process. Moreover, the schemes are immune to the number of polluted photons, the fidelity thresholds of the proposed EPPs are developed, and the spatial-based single-qudit operations can be well manipulated with a range of balanced beam splitters, and phase shifters. These features make the proposed schemes offer an alternative method for high-dimensional multipartite entanglement purification.
Comments16 pages, 5 figures, 4 Tables
Journal refAdvanced Quantum Technologies 9(7): e70364 (2026)
