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arXiv · 2412.16157

Stochastic Analysis of Entanglement-assisted Quantum Communication Channels

Karim S. Elsayed·Olga Izyumtseva·Wasiur R. KhudaBukhsh·Amr Rizk
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Abstract

We present a queueing model for a quantum communication network consisting of a primary queue and a service queue in which Bell pairs are formed and stored. The Bell pairs are inherently extremely short-lived rendering the service queue (the quantum queue) much faster than the primary queue. We study the asymptotic behaviour of this multi-scale queueing system via a stochastic averaging principle. We prove a Functional Law of Large Numbers (FLLN) and a Functional Central Limit Theorem (FCLT) for the standard queue averaging the dynamics of the fast service queue.

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Karim S. Elsayed, Olga Izyumtseva, Wasiur R. KhudaBukhsh, Amr Rizk. 2024-12-20. Stochastic Analysis of Entanglement-assisted Quantum Communication Channels. https://arxiv.org/abs/2412.16157

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