  All-photonic quantum repeaters are essential for establishing long-range
quantum entanglement. Within repeater nodes, reliably performing entanglement
swapping is a key component of scalable quantum communication. To tackle the
challenge of probabilistic Bell state measurement in linear optics, which often
leads to information loss, various approaches have been proposed to ensure the
loss tolerance of distributing a single ebit. We have generalized previous work
regarding repeater graph states with elaborate connectivity, enabling the
efficient establishment of exploitable ebits at a finite rate with high
probability. We demonstrate that our new scheme significantly outperforms the
previous work with much flexibility and discuss the generation overhead of such
resource states. These findings offer new insights into the scalability and
reliability of loss-tolerant quantum networks.
