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Genuine randomness can be certified from Bell tests without any detailedassumptions on the working of the devices with which the test is implemented.An important class of experiments for implementing such tests is optical setupsbased on polarisation measurements of entangled photons distributed from aspontaneous parametric down conversion source. Here we compute the maximalamount of randomness which can be certified in such setups under realisticconditions. We provide relevant yet unexpected numerical values for thephysical parameters and achieve four times more randomness than previousmethods.

Optimal randomness generation from optical Bell experiments