标题： 通过量子干涉利用混合频率纠缠的量子多维逻辑门 显示英文标题

标题： Harnessing Hybrid Frequency-Entangled Qudits through Quantum Interference

摘要： 高维（HD）量子纠缠扩展了希尔伯特空间，为具有增强容量和错误容限的量子信息处理提供了稳健的框架。 在这项工作中，我们展示了一种新颖的高维频域纠缠态——混合频率纠缠量子多体态（HFEQ），它是通过Hong-Ou-Mandel（HOM）干涉生成的，在频域中表现出离散变量（DV）和连续变量（CV）特性。通过调节HOM干涉，我们生成并控制了维度为\$D=5,7,9,11\$的HFEQs，证实了它们的DV性质。Franson干涉测量法确认了全局频率相关性，可见度超过98%，并验证了单个频率模式内的CV纠缠，可见度大于95%。我们的研究深入揭示了由量子干涉生成的频率纠缠量子多体态的物理本质，并引入了一种新的高维时频量子信息处理资源。 显示英文摘要

摘要： High-dimensional (HD) quantum entanglement expands the Hilbert space, offering a robust framework for quantum information processing with enhanced capacity and error resilience. In this work, we present a novel HD frequency-domain entangled state, the hybrid frequency-entangled qudit (HFEQ), generated via Hong-Ou-Mandel (HOM) interference, exhibiting both discrete-variable (DV) and continuous-variable (CV) characteristics in the frequency domain. By tuning HOM interference, we generate and control HFEQs with dimensions $D=5,7,9,11, confirming their DV nature. Franson interferometry confirms the global frequency correlations with visibility exceeding 98% and verifies the CV entanglement within individual frequency modes with visibility greater than 95%. Our findings provide deeper insight into the physical nature of frequency-entangled qudits generated by quantum interference and introduce a novel resource for HD time-frequency quantum information processing.