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Applications such as Device-Independent Quantum Key Distribution (DIQKD)require loophole-free certification of long-distance quantum correlations.However, these distances remain severely constrained by detector inefficienciesand unavoidable transmission losses. To overcome this challenge, we considerparallel repetitions of the recently proposed routed Bell experiments, wheretransmissions from the source are actively directed either to a nearby or adistant measurement device. We analytically show that the threshold detectionefficiency of the distant device--needed to certify non-jointly-measurablemeasurements, a prerequisite of secure DIQKD--decreases exponentially,optimally, and robustly, following $\eta^*=1/2^N$, with the number $N$ ofparallel repetitions.

Extending quantum correlations to arbitrary distances via parallel repetition of routed Bell tests