Repeat-until-success quantum repeaters
David Edward Bruschi, Thomas M. Barlow, Mohsen Razavi, Almut Beige

TL;DR
This paper introduces a repeat-until-success protocol for quantum repeaters that uses repeatable Bell-state measurements, significantly enhancing entanglement distribution rates and potentially enabling deterministic quantum communication.
Contribution
The authors propose a repeatable BSM scheme using linear optics and photodetectors, improving success rates and entanglement distribution in quantum repeaters beyond conventional limits.
Findings
Entanglement generation rate improved by 1-2 orders of magnitude.
Repeatable BSM can approach deterministic performance under realistic conditions.
Performance comparable to existing deterministic quantum repeater proposals.
Abstract
We propose a repeat-until-success protocol to improve the performance of probabilistic quantum repeaters. Quantum repeaters rely on passive static linear optics elements and photodetectors to perform Bell-state measurements (BSMs). Conventionally, the success rate of these BSMs cannot exceed 50%, which is an impediment for entanglement swapping between distant quantum memories. Every time that a BSM fails, entanglement needs to be re-distributed between the corresponding memories in the repeater link. The key ingredient in our scheme is a repeatable BSM. Although it too relies only on linear optics and photo-detection, it ideally allows us to repeat every BSM until it succeeds. This, in principle, can turn a probabilistic quantum repeater into a deterministic one. Under realistic conditions, where our measurement devices are lossy, our repeatable BSMs may also fail. However, we show…
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