Entanglement preservation over arbitrary distances in quantum repeater networks is possible if and only if the channel has a correctable subspace, with parallel channel uses needing logarithmic scaling otherwise.
Blume-Kohout, H
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Asymptotic Limits of Entanglement Distribution
Entanglement preservation over arbitrary distances in quantum repeater networks is possible if and only if the channel has a correctable subspace, with parallel channel uses needing logarithmic scaling otherwise.