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Abstract
We show that the detection efficiencies required for closing the detection loophole
in Bell tests can be significantly lowered using quantum systems of dimension larger
than two. We introduce a series of asymmetric Bell tests for which an efficiency arbitrarily
close to 1/N can be tolerated using N-dimensional systems, and a symmetric Bell test
for which the efficiency can be lowered down to 61.8% using four-dimensional systems.
Experimental perspectives for our schemes look promising considering recent progress
in atom-photon entanglement and in photon hyperentanglement.