A Control Architecture for Entanglement Generation Switches in Quantum Networks

Kavli Affiliate: Stephanie Wehner

| First 5 Authors: Scarlett Gauthier, Gayane Vardoyan, Stephanie Wehner, ,

| Summary:

Entanglement between quantum network nodes is often produced using
intermediary devices – such as heralding stations – as a resource. When scaling
quantum networks to many nodes, requiring a dedicated intermediary device for
every pair of nodes introduces high costs. Here, we propose a cost-effective
architecture to connect many quantum network nodes via a central quantum
network hub called an Entanglement Generation Switch (EGS). The EGS allows
multiple quantum nodes to be connected at a fixed resource cost, by sharing the
resources needed to make entanglement. We propose an algorithm called the Rate
Control Protocol (RCP) which moderates the level of competition for access to
the hub’s resources between sets of users. We proceed to prove a convergence
theorem for rates yielded by the algorithm. To derive the algorithm we work in
the framework of Network Utility Maximization (NUM) and make use of the theory
of Lagrange multipliers and Lagrangian duality. Our EGS architecture lays the
groundwork for developing control architectures compatible with other types of
quantum network hubs as well as system models of greater complexity.

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