The authors propose a network architecture that employs a single broadband, quasi-deterministic time-frequency heralded Einstein-Podolsky-Rosen (EPR) pair source. They develop a routing scheme to distribute the entangled photon pairs over the network and focus on achieving max-min fairness in the entanglement distribution.
Since the problem of optimal spectrum allocation is NP-hard, the authors identify two approximation algorithms that outperform others in terms of minimum and mean EPR-pair rate distribution, and are comparable in the Jain index. They analyze the impact of network size and connectivity on these metrics using Watts-Strogatz random graphs.
The authors find that a spectrum allocation approach that achieves a high minimum EPR-pair rate can perform significantly worse when considering the median EPR-pair rate, fairness, and runtime. They also analyze the importance of the EPR-pair source placement, observing that the nodal degree has a significant impact on the optimal source location.
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