  Distributed quantum entanglement plays a crucial role in realizing networks
that connect quantum devices. However, sharing entanglement between distant
nodes by means of photons is a challenging process primary due to unavoidable
losses in the linking channels. In this paper, we propose a simple
loss-tolerant protocol for the Greenberger-Horne-Zeilinger state distribution.
We analyze the distribution rate under feasible experimental conditions and
demonstrate the advantages of rate-loss scaling with respect to direct
transmission. Our protocol does not use quantum repeaters and is achievable
with current quantum optics technology. The result has direct application to
tasks such as conference key agreement or distributed sensing. Moreover, it
reduces the requirements for implementing distributed quantum error correction
codes such as the surface code.
