Two point functions on a quantum computer.

In this talk we will present results on current quantum hardware for the calculation of the real time response function of a simplified nuclear Hamiltonian  interacting

with an external current. The model considered, a two species two-dimensional Hubbard model with two-and three- body interactions, inspired by lattice EFT, is coupled to an external probe through single particle densities. For a 2x2 lattice such model is implemented using five qubit circuits and circuit depths up to about 30  CNOT gates. Results from quantum hardware have been extracted using tailored, for the problem at hand, versions of the currently available error mitigation protocols. A discussion of both theoretical errors and possible challenges in reconstructing the frequency domain response from the real time response will be presented.