Effects of Memory Buffer Distribution on the Performance of Quantum Repeaters

The development of quantum networks across distant locations is crucial for facilitating quantum key distribution and cloud quantum computing. Although such networks are currently being established, the relationship between network performance and specific configurations remains little understood.
In this study, I explore enhancements to simple quantum networks by equipping quantum repeaters with multiple quantum memory units. I present an analysis of average waiting times for quantum repeaters based on different memory distributions across all repeater stations. I provide numerical simulations alongside theoretical bounds for the waiting times of quantum repeaters in various scenarios involving memory buffers and discuss which configurations lead to the best results.