Toward complex arbitrary photon statistics measurement through imperfect integrated single-photon detector arrays

In the last few decades, quantum photonics has emerged as a captivating and rapidly evolving field at the intersection of quantum mechanics and photonics. The ability to harness the fundamental properties of light at the quantum level holds the key to unlocking revolutionary progresses in advanced computing, secure communication, and high-precision measurements. In this work, we explore the feasibility of photon statistics measurements with integrated SPAD arrays by employing both analytical modeling and simulations to study realistic devices with their non-idealities. While dark count rate, limited detection efficiency and the finite number of detectors in an array can be accounted for, typical reconstruction methods are shown to struggle with cross-talk at higher photon counts.