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We study quantum-state transfer in $XX$ spin-$1/2$ chains where bothcommunicating spins are weakly coupled to a channel featuring disorderedon-site magnetic fields. Fluctuations are modelled by long-range correlatedsequences with self-similar profile obeying a power-law spectrum. We show thatthe channel is able to perform an almost perfect quantum-state transfer in mostof the samples even in the presence of significant amounts of disorder providedthe degree of those correlations is strong enough. In that case, we also showthat the lack of mirror symmetry does not affect much the likelihood of havinghigh-quality outcomes. Our results advance a further step in designing robustdevices for quantum communication protocols.

High-fidelity state transfer through long-range correlated disordered quantum channels