Loss-tolerant all-photonic quantum repeater with generalized Shor code

Abstract

The all-photonic quantum repeater (APQR) is a promising repeater scheme to realize long-distance quantum communication. For a practical APQR, an indispensable requirement is the robustness of the repeater graph state (RGS) against photon loss. We propose a new loss-tolerant scheme by applying the generalized Shor code to RGS, which can be experimentally demonstrated with current technology. Experimentally, we first prepare and verify the nine-qubit Shor code. Then, by applying the generalized Shor code to APQR and preparing a simplified encoded RGS with the structure of $1\times 2$ based on the Shor code state, the effectiveness of our loss-tolerant scheme and the loss tolerance of the encoded RGS are respectively verified. Our results make an essential step toward a practical APQR and enrich the research of quantum error correction code.

arXiv comment8 pages, 5 figures

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• Deterministic and reconfigurable graph state generation with a single solid-state quantum emitter
• Generation of a time-bin Greenberger--Horne--Zeilinger state with an optical switch
• Laser-induced spectral diffusion and excited-state mixing of silicon T centres
• Quantum Circuit Discovery for Fault-Tolerant Logical State Preparation with Reinforcement Learning
• Optical Quantum Computing
• Topology-Dependent Enhancement of Entanglement Extraction in Repeater Graph States