Quantum repeater is the key technology enabler for long-distance quantum communication. To date, most of the existing quantum repeater protocols are designed based on specific quantum codes or graph states. In this paper, we propose a general framework for all-photonic one-way quantum repeaters based on the measurement-based error correction, which can be adapted to any Calderbank–Shor–Steane code including the recently discovered quantum low-density parity check (QLDPC) codes. We present a decoding scheme, where the error correction process is carried out at the destination based on the accumulated data from the measurements made across the network. This procedure not only outperforms the conventional protocols with independent repeaters but also simplifies the local quantum operations at repeaters. As an example, we numerically show that the [[48, 6, 8]] generalized bicycle code (as a small but efficient QLDPC code) has an equally good performance while reducing the resources by at least an order of magnitude.

量子中继器是长距离量子通信的关键技术推动者。迄今为止，大多数现有的量子中继器协议都是基于特定的量子代码或图状态设计的。在本文中，我们提出了一种基于基于测量的纠错的全光子单向量子中继器的通用框架，该框架可以适用于任何Calderbank-Shor-Steane代码，包括最近发现的量子低密度奇偶校验（ QLDPC）代码。我们提出了一种解码方案，其中根据通过网络进行的测量所积累的数据在目的地执行纠错过程。该过程不仅优于具有独立中继器的传统协议，而且还简化了中继器处的本地量子操作。作为一个例子，我们以数值方式表明 [[48, 6, 8]] 广义自行车代码（作为一种小型但高效的 QLDPC 代码）具有同样良好的性能，同时将资源减少至少一个数量级。