An illustrative optical measurement system includes a light source configured to emit light directed at a target. The optical measurement system further includes a photodetector configured to detect a photon of the light after the light is scattered by the target. The optical measurement system further includes a control circuit configured to arm the photodetector by applying a bias voltage to a first terminal of the photodetector and applying, for a predetermined amount of time using a current source, a current to a second terminal of the photodetector to produce a predetermined voltage difference across the photodetector.