A photonic cluster state with a tree-type entanglement structure constitutes an efficient resource for quantum error correction of photon loss. But the generation of a tree cluster state with an arbitrary size is notoriously difficult. Here, we propose a protocol to deterministically generate photonic tree states of arbitrary size by using only a single quantum emitter. Photonic entanglement is established through both emission and rescattering from the same emitter, enabling fast and resource-efficient entanglement generation. The same protocol can also be extended to generate more general tree-type entangled states.

中文翻译：

---

确定性生成具有单个量子发射器的容错光子簇状态

具有树型纠缠结构的光子簇状态构成用于光子损耗的量子误差校正的有效资源。但是众所周知，生成具有任意大小的树簇状态非常困难。在这里，我们提出了一种协议，通过仅使用单个量子发射器来确定性地生成任意大小的光子树状态。光子纠缠是通过同一发射器的发射和再散射来建立的，从而可以快速高效地产生纠缠。相同的协议也可以扩展为生成更一般的树型纠缠状态。