Performance analysis of quantum repeaters enabled by deterministically generated photonic graph states

TL;DR

This paper compares the performance of quantum repeaters using different photonic graph states and generation schemes, providing guidelines for optimizing resource efficiency and experimental implementation.

Contribution

It offers a systematic quantitative comparison of two types of photonic graph states and generation schemes for quantum repeaters, filling a gap in performance analysis.

Findings

The optimal generation scheme varies with system parameters.

Performance differences are significant between the two graph states.

Guidelines for experimental realization are provided.

Abstract

By encoding logical qubits into specific types of photonic graph states, one can realize quantum repeaters that enable fast entanglement distribution rates approaching classical communication. However, the generation of these photonic graph states requires a formidable resource overhead using traditional approaches based on linear optics. Overcoming this challenge, a number of new schemes have been proposed that employ quantum emitters to deterministically generate photonic graph states. Although these schemes have the potential to significantly reduce the resource cost, a systematic comparison of the repeater performance among different encodings and different generation schemes is lacking. Here, we quantitatively analyze the performance of quantum repeaters based on two different graph states, i.e. the tree graph states and the repeater graph states. For both states, we compare the performance between two generation schemes, one based on a single quantum emitter coupled to ancillary matter qubits, and one based on a single quantum emitter coupled to a delayed feedback. We identify the numerically optimal scheme at different system parameters. Our analysis provides a clear guideline on the selection of the generation scheme for graph-state-based quantum repeaters, and lays out the parameter requirements for future experimental realizations of different schemes.