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Photomultiplier tubes and avalanche photodiodes, which are commonly used inquantum optic experiments, are sometimes referred to as threshold detectorsbecause, in photon counting mode, they cannot discriminate the number ofphotoelectrons initially extracted from the absorber in the detector. We arguethat they can be called threshold detectors on more account than that. We pointout that their their functioning principle relies on two thresholds that areusually thought unimportant individually in the context of EPR-Bell discussion.We show how the combined effect of these threshold can lead to a significantsampling selection bias in the detection of pairs of pulses, resulting in anapparent violation of Bell inequalities.

Violation of Bell Inequalities as a Violation of Fair Sampling in Threshold Detectors