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Gaussian boson sampling (GBS) is quantum sampling task in which one has todraw samples from the photon-number distribution of a large-dimensionalnonclassical squeezed state of light. In an effort to make this taskintractable for a classical computer, experiments building GBS machines havemainly focused on increasing the dimensionality and squeezing strength of thenonclassical light. However, no experiment has yet demonstrated the ability todisplace the squeezed state in phase-space, which is generally required forpractical applications of GBS. In this work, we build a GBS machine whichachieves the displacement by injecting a laser beam alongside a two-modesqueezed vacuum state into a 15-mode interferometer. We focus on two newcapabilities. Firstly, we use the displacement to reconstruct the multimodeGaussian state at the output of the interferometer. Our reconstructiontechnique is in situ and requires only three measurements settings regardlessof the state dimension. Secondly, we study how the addition of classical laserlight in our GBS machine affects the complexity of sampling its output photonstatistics. We introduce and validate approximate semi-classical models whichreduce the computational cost when a significant fraction of the detected lightis classical.

Experimental demonstration of Gaussian boson sampling with displacement