To realize long-distance quantum communication, it is crucial to design quantum repeater architectures that can deal with transmission losses and operational errors. Code concatenation of photonic graph codes is a promising way to achieve this; however, existing concatenated codes that can correct both transmission losses and operational errors are extremely hardware demanding. We propose a one-way quantum repeater architecture based on concatenated ring graph codes and linear optical Bell-state measurements. We construct a scheme to generate the concatenated ring graph codes using quantum emitters, where the number of matter qubits scales linearly with concatenation depth. Furthermore, we devise a measurement strategy at each repeater station with a simple experimental setup where photons are measured in the order that they are created and show that entanglement swapping is fault tolerant to both transmission losses and operational errors. This allows for long-distance quantum communication ($>{10}^4$ km) at a kHz rate even in the presence of single-qubit error rates $ϵ>{10}^{-3}$.

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• Optical quantum information processing
• Photonics
• Quantum error correction
• Quantum networks
• Quantum optics
• Quantum repeaters
• Optical fibers
• Graph theory