Data underlying the publication: "Quantum advantage for single-photon state characterization"

We propose a protocol that characterizes the pairwise overlaps of the internal modes of single photons moreefficiently than pairwise Hong-Ou-Mandel characterization experiments. This protocol exploits multiphotoninterference. We experimentally implement this protocol to characterize three photons. We show that ourimplementation of the characterization protocol outperforms the pairwise Hong-Ou-Mandel characterization,even if the Hong-Ou-Mandel characterization would have been performed in a noiseless, perfect experiment.We demonstrate this via the Fisher information matrix.