Quantum communication capacity transition of complex quantum networks

Quantum network is the key to enable distributed quantum information processing. As single-link communication rate decays exponentially with distance, reliable end-to-end communication, number of nodes needs grow scale. For highly connected networks, we identify a threshold transition in capacity as density increases---below critical density, almost zero, while above increases linearly density. Surprisingly, typical between two independent distance them, due multi-path routing enabled by network. In contrast, for less networks such scale-free saturates constants increases, and always distance. Our results are based on evaluations, therefore minimum requirement an appreciable applies any general protocols networks.