Seeding Gaussian Boson Samplers with Single Photons for Enhanced State Generation

Usually, generation of non-Gaussian states involves tradeoffs between success probability and quality of the resultant state. For example, injecting squeezed light into a multimode interferometer and postselecting on certain patterns of photon-number outputs in all but one mode can herald the creation of these states. We consider the addition of a non-Gaussian resource state, particularly single photons to this configuration, and show how it improves the qualities and generation probabilities of desired states.