  Entanglement purification protocols, designed to improve the fidelity of Bell
states over quantum networks for inter-node communications, have attracted
significant attention over the last few decades. These protocols have great
potential to resolve a core challenge in quantum networking of generating
high-fidelity Bell states. However, previous studies focused on the theoretical
discussion with limited consideration of realistic errors. Studies of
dynamically selecting the right purification protocol under various realistic
errors that populate in practice have yet to be performed. In this work, we
study the performance of various purification protocols under realistic errors
by conducting density matrix simulations over a large suite of error models.
Based on our findings of how specific error channels affect the performance of
purification protocols, we propose a module that can be embedded in the quantum
network. This module determines and selects the appropriate purification
protocol, considering not only expected specifications from the network layer
but also the capabilities of the physical layer. Finally, the performance of
our proposed module is verified using two benchmark categories. Compared with
the default approach and exhaustive search approach, we show a success rate
approaching 90% in identifying the optimal purification protocol for our target
applications.
