  We report the experimental results of digital quantum simulations of
beam-splitter and squeezing interactions. The bosonic hamiltonians are mapped
to qubits and then digitalized in order to implement them in the IBM quantum
devices. We use error mitigation and post-selection to achieve high-fidelity
digital quantum simulations of single-mode and two-mode interactions, as
evidenced -- where possible -- by full tomography of the resulting states. We
achieve fidelities close to 100 \% in the case of single-mode squeezing with
low squeezing values and ranging from 70 \% to 90 \% in the more complex
two-mode interactions.
