  This work explores the important role of quantum routers in communication
networks and investigates the increase in efficiency using memories and
multiplexing strategies. Motivated by the bipartite setup introduced by Abruzzo
et al. (2013) for finite-range multiplexing in quantum repeaters, we extend the
study to an N-partite network with a router as a central station. We present a
general protocol for N parties after defining the underlying matching problem
and we calculate the router rate for different N. We analyze the improvement
due to multiplexing, and analyze the secret key rate with explicit results for
the tripartite network. Investigating strategic qubit selection for the GHZ
measurements, we show that using cutoffs to remove qubits after a certain
number of rounds and consistently combining qubits with the lowest number of
storage rounds leads to an optimal secret key rate.
