Abstract: The evolution of Quantum Internet relies on the efficient generation
and purification of entangled pairs (EPR) across noisy and heterogeneous quantum channels. However, several challenges arise in this context, such as (1)
estimating the optimal number of purification rounds without prior knowledge
of the channel error type, (2) low aggregated success probability in purification
processes, and (3) resource wastage caused by unused EPR pairs. In this work,
we propose a hybrid scheduling strategy for purification in quantum networks
to address these issues. Our approach dynamically adjusts the number of purification rounds, compensates for low success probabilities through additional
operations, and mitigates resource inefficiencies by reusing idle EPR pairs. We
evaluate the solution through case studies under various noise scenarios, including bit-flip, Werner, and mixed noise models. The results demonstrate significant improvements in throughput compared to current approaches, highlighting
the effectiveness of the scheduling strategy in quantum networks.