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Parameter-Shift Rules for Gradients in Boson Sampling Experiments
Using a robust photon loss model for photonic quantum experiments, we derive $n $th order parameter shift rules for computing gradients of Fock boson sampling transition probabilities where $n$ photons are sent into a lossy interferometer. We also show that in general it is not possible to generalize this gradient recipe to the case of Gaussian boson sampling. Only in the specific case where the transmission matri...