Analytical Methods for High-Rate Global Quantum Networks

The development of a future, global quantum communication network (or internet) will enable high rate private and entanglement distribution over very long distances. However, the large-scale performance ground-based networks (which employ photons as information carriers through optical-fibres) is fundamentally limited by fibre quality link length, with latter being primary design factor for practical architectures. While these fundamental limits are well established arbitrary topologies, question how to best architectures remains open. In this work, we introduce model called weakly-regular Such capable idealising connectivity, provide freedom capture broad class spatial topologies remain analytically treatable. This allows us investigate effectiveness consistent connective properties, unveil critical conditions under which end-to-end rates optimal. Furthermore, strict comparison ideal, that realistic satellite protocols, establish satellites can be used outperform fibre-based infrastructure; {rigorously proving efficacy satellite-based technologies communications.