On the Capacity Region of Bipartite and Tripartite Entanglement Switching

Gayane Vardoyan (1) , Saikat Guha (2) , Philippe Nain (3) , Don Towsley (4)

1 UMass Amherst - University of Massachusetts [Amherst]
2 University of Arizona
3 DANTE - Dynamic Networks : Temporal and Structural Capture Approach
4 Department of Computer Science [Amherst]

We study a quantum switch serving a set of users. The function of the switch is to create bi-or tripartite entangled state among users at the highest possible rates at a fixed ratio. We model a set of randomized switching policies. Discovering that some are better than others, we present analytical results for the case where the switch stores one qubit per user, and find that the best policies outperform a time division multiplexing (TDM) policy for sharing the switch between bipartite and tripartite state generation. This performance improvement decreases as the number of users grows. The model is easily augmented to study the capacity region in the presence of qubit decoherence, obtaining similar results. Moreover, decoherence appears to have little effect on capacity. We also study a smaller class of policies when the switch stores two qubits per user.

Domaines: Réseaux et télécommunications [cs.NI]; Mathématiques [math]; Informatique [cs]

Gayane Vardoyan, Saikat Guha, Philippe Nain, Don Towsley. On the Capacity Region of Bipartite and Tripartite Entanglement Switching. Performance 2020 - 38th IFIP International Symposium on Computer Performance, Modeling, Measurements and Evaluation, Nov 2020, Milan, Italy. pp.1-6. ⟨hal-02010865v2⟩