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The paper argues that a rectangular Bacon-Shor subsystem code can carry logical qubits over long distances more efficiently than codes designed without accounting for photon loss. Its headline result is a cost-optimal repeater density roughly an order of magnitude below a recent benchmark, though the comparison rests on specific code parameters and modelling assumptions that readers should check against the full paper. The framing of measurement-based repeaters as a form of quantum error correction is the part most relevant to researchers designing continental-scale quantum networks.
Rectangular codes reduce repeater costs for continental quantum networks

By leveraging a two-dimensional code—a rectangular Bacon-Shor subsystem—this work shows how measurement-based quantum repeaters can reduce costs for continental-scale quantum networks.
Their work reveals this code transmits a logical qubit more efficiently than transmission-unaware encodings by accounting for signal loss during transmission. Over continental distances, the researchers found the cost-optimal repeater density is about an order of magnitude lower than a recent benchmark at comparable transmission rates. They extend the framework to a system where joint decoding allows for distributed quantum computation with a decoder-free client. A rectangular Bacon-Shor subsystem code improves the efficiency of logical qubit transmission over long distances by directly addressing photon loss in quantum repeater networks. This approach contrasts with conventional designs where the transmission layer and computation are treated as separate components, and instead recognizes a measurement-based…
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