Robustness of noisy quantum networks

Quantum networks are a new paradigm of complex networks, allowing us to harness networked quantum technologies and develop internet. But how robust is network when its links nodes start failing? We show that based on typical noisy quantum-repeater prone discontinuous phase transitions with respect the random loss operating nodes, abruptly compromising connectivity network, thus significantly limiting reach operation. Furthermore, we determine critical efficiency necessary avoid this catastrophic as function topology, size, distribution entanglement in network. In particular, our results indicate scale-free topology crucial design principle establish large-scale