Nonclassicality criteria for N -dimensional optical fields detected by quadratic detectors
Jan Peřina, Pavel Pavlíček, Václav Michálek, Radek Machulka, Ondřej Haderka · Physical Review A · 2022
Nonclassicality criteria for general $N$-dimensional optical fields are derived. They involve intensity moments, the probabilities of photon-number distributions, or combinations of both. The Hillery criteria for the sums of the probabilities of even or odd photon numbers are generalized to $N$-dimensional fields. As an example, the derived nonclassicality criteria are applied to an experimental three-mode optical field containing two types of photon-pair contributions. The accompanying nonclassicality depths are used to mutually compare their performance.