  The increasing complexity of the recent photonic experiments challenges
developing efficient multi-channel coincidence counting systems with high-level
functionality. Here, we report a coincidence unit able to count detection
events ranging from singles to 16-fold coincidences with full channel-number
resolution. The device operates within sub-100~ps coincidence time windows,
with a maximum input frequency of 1.5~GHz and an overall jitter of less than
10~ps. The unit high-level timing performance renders it suitable for quantum
photonic experiments employing low-timing-jitter single-photon detectors.
Additionally, the unit can be used in complex photonic systems to drive
feed-forward loops. We have demonstrated the developed coincidence counting
unit in photon-number-resolving detection to directly quantify the statistical
properties of light, specifically coherent and thermal states, with a fidelity
exceeding 0.999 up to 60~photons.
