Analysis of a tripartite entanglement distribution switch

Journal Article (2022)
Author(s)

Philippe Nain (University Côte d'Azur)

G.S. Vardoyan (Kavli institute of nanoscience Delft, TU Delft - QuTech Advanced Research Centre, TU Delft - QID/Wehner Group)

Saikat Guha (University of Arizona)

Don Towsley (University of Massachusetts Amherst)

Research Group
QID/Wehner Group
Copyright
© 2022 Philippe Nain, G.S. Vardoyan, Saikat Guha, Don Towsley
DOI related publication
https://doi.org/10.1007/s11134-021-09731-w
More Info
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Publication Year
2022
Language
English
Copyright
© 2022 Philippe Nain, G.S. Vardoyan, Saikat Guha, Don Towsley
Research Group
QID/Wehner Group
Issue number
3-4
Volume number
101
Pages (from-to)
291-328
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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.

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