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Long-range big quantum-data transmission

ABSTRACT

We consider long-range quantum communication using quantum repeaters. We show that by employing hashing, an entanglement distillation protocol with one-way communication, one obtains a scalable scheme that allows one to reach arbitrary distances, with constant overhead in resources per repeater station, and ultrafast rates. This combines the advantages of direct encoded transmission and entanglement-based repeaters, and reduces the required overhead per transmitted qubit by a polynomial factor. In practical terms, we show that also with moderate resources of a few hundred qubits at each repeater station, one can reach intercontinental distances. At the same time, error thresholds for a measurement-based implementation are of the order of several percent per qubit. This opens the way for long-distance communication of big quantum data.