Classification of sampling tasks with identification of estimators

Report on the classification of variations of sampling tasks achievable with linear optics and equivalences between them These include Boson Sampling BS Scattershot BS Driven BS Gaussian BS nonlocal BS New schemes will also be described such as sampling with inputs consisting of photon number superpositions We will characterize the enhancement provided by nonlinearities at the fewphoton level via the postselection overhead induced by a linearoptical simulation of the nonlinear process