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Analysis of a tripartite entanglement distribution switch

Author

Listed:
  • Philippe Nain

    (Centre Inria at Université Côte d’Azur)

  • Gayane Vardoyan

    (Delft University of Technology)

  • Saikat Guha

    (The University of Arizona)

  • Don Towsley

    (University of Massachusetts)

Abstract

We study a quantum switch that distributes tripartite entangled states to sets of users. The entanglement switching process requires two steps: First, each user attempts to generate bipartite entanglement between itself and the switch, and second, the switch performs local operations and a measurement to create multipartite entanglement for a set of three users. In this work, we study a simple variant of this system, wherein the switch has infinite memory and the links that connect the users to the switch are identical. This problem formulation is of interest to several distributed quantum applications, while the technical aspects of this work result in new contributions within queueing theory. The state of the system is modeled as continuous-time Markov chain (CTMC), and performance metrics of interest (probability of an empty system, switch capacity, expectation, and variance of the number of qubit-pairs stored) are computed via the solution of a two-dimensional functional equation obtained by reducing it to a boundary value problem on a closed curve. This work is a follow-up of Nain et al. (Proc ACM Measure Anal Comput Syst(POMACS) 4, 2020) where a switch distributing entangled multipartite states to sets of users was studied, but only the switch capacity and the expected number of stored qubits were derived.

Suggested Citation

  • Philippe Nain & Gayane Vardoyan & Saikat Guha & Don Towsley, 2022. "Analysis of a tripartite entanglement distribution switch," Queueing Systems: Theory and Applications, Springer, vol. 101(3), pages 291-328, August.
    • Handle: RePEc:spr:queues:v:101:y:2022:i:3:d:10.1007_s11134-021-09731-w
    DOI: 10.1007/s11134-021-09731-w
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    References listed on IDEAS

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    1. Seiji Armstrong & Jean-François Morizur & Jiri Janousek & Boris Hage & Nicolas Treps & Ping Koy Lam & Hans-A. Bachor, 2012. "Programmable multimode quantum networks," Nature Communications, Nature, vol. 3(1), pages 1-8, January.
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