Quantum description of timing jitter for single-photon ON-OFF detectors

In the context of ultra-fast quantum communication and random number\ngeneration, detection timing-jitters represent a strong limitation as they can\nintroduce major time-tagging errors and affect the quality of time-correlated\nphoton counting or quantum state engineering. Despite their importance in\nemerging photonic quantum technologies, no detector model including such\neffects has been developed so far. We propose here an operational theoretical\nmodel based on POVM density formalism able to explicitly quantify the effect of\ntiming-jitter for a typical class of single photon detector. We apply our model\nto some common experimental situations.\n