On the Trade-off between Fidelity and Latency for the Quantum Link Layer with few Memories and Entanglement Purification

Elsayed, Karim S.; KhudaBukhsh, Wasiur R.; Rizk, Amr

Abstract

Generating high fidelity link-level entanglements is essential for the distribution of end-to-end connectivity across quantum communication networks. The efficiency of entanglement buffering is, however, limited by the short lifetime of the required qubits as noise causes a rapid decay in their fidelities. Entanglement purification, which is essentially a probabilistic operation, counteracts this decay. In its simplest form it uses two entanglements to obtain a higher fidelity one. In this paper, we combine entanglement buffering and purification by applying a purification protocol that acts on the stored entanglements beyond their generation time. Considering a link-level system with a few quantum memories to buffer entanglements in addition to application requests for entanglement, we use a Markov Chain model to derive the steady state distribution of the service performance metrics, specifically, (i) the fidelity of the entanglements that are consumed by application requests and (ii) the distribution of their waiting time in the request queue. Our evaluations show a trade-off between the fidelity and the request waiting time, specifically, given purification as well as for different memory sizes.

Citation

Elsayed, K. S., KhudaBukhsh, W. R., & Rizk, A. (2024, July). On the Trade-off between Fidelity and Latency for the Quantum Link Layer with few Memories and Entanglement Purification. Presented at 2024 International Conference on Quantum Communications, Networking, and Computing (QCNC), Kanazawa, Japan

• Presentation Conference Type: Edited Proceedings
• Conference Name: 2024 International Conference on Quantum Communications, Networking, and Computing (QCNC)
• Start Date: Jul 1, 2024
• End Date: Jul 3, 2024
• Acceptance Date: May 9, 2024
• Online Publication Date: Aug 22, 2024
• Publication Date: Jul 1, 2024
• Deposit Date: Aug 28, 2024
• Publicly Available Date: Sep 3, 2024
• Publisher: Institute of Electrical and Electronics Engineers
• Peer Reviewed: Peer Reviewed
• Pages: 17-24
• Book Title: 2024 International Conference on Quantum Communications, Networking, and Computing QCNC 2024
• ISBN: 9798350366785
• DOI: https://doi.org/10.1109/qcnc62729.2024.00013
• Public URL: https://nottingham-repository.worktribe.com/output/38905513
• Publisher URL: https://ieeexplore.ieee.org/document/10628208