标题： 基于测量的纠缠纯化和任意距离上的恒定速率量子中继器 显示英文标题

标题： Measurement-Based Entanglement Distillation and Constant-Rate Quantum Repeaters over Arbitrary Distances

摘要： 基于测量的量子中继器利用最小尺寸的本地制备资源态以及本地贝尔测量，在链路之间进行纠缠纯化和交换。 在本文中，我们引入了一种系统化的基于测量的纠缠纯化协议，并将其应用于可以利用任何稳定码的中继器。 给定一个码，我们明确地定义了相应的资源态，并根据所有贝尔测量结果推导出一种错误恢复操作。 我们的方法在深入理解资源态噪声对中继器性能的影响方面提供了更深刻的见解，同时提供了资源态高效制备和容错保持的策略。 作为应用，我们提出了一种基于量子低密度奇偶校验（QLDPC）码的基于测量的中继器协议，实现了任意距离上的恒定产量贝尔态分发。 数值模拟证实了随着码长增加，保真度不足的指数抑制，同时保持固定的码率。 这项工作为未来全球规模的容错量子网络建立了可扩展的基础。 显示英文摘要

摘要： Measurement-based quantum repeaters employ entanglement distillation and swapping across links using locally prepared resource states of minimal size and local Bell measurements. In this paper, we introduce a systematic protocol for measurement-based entanglement distillation and its application to repeaters that can leverage any stabilizer code. Given a code, we explicitly define the corresponding resource state and derive an error-recovery operation based on all Bell measurement outcomes. Our approach offers deeper insights into the impact of resource state noise on repeater performance while also providing strategies for efficient preparation and fault-tolerant preservation of resource states. As an application, we propose a measurement-based repeater protocol based on quantum low-density parity-check (QLDPC) codes, enabling constant-yield Bell state distribution over arbitrary distances. Numerical simulations confirm exponential suppression of infidelity with increasing code size while maintaining a fixed code rate. This work establishes a scalable backbone for future global-scale fault-tolerant quantum networks.