  Neutrino-nucleus cross section uncertainties are expected to be a dominant
systematic in future accelerator neutrino experiments. The cross sections are
determined by the linear response of the nucleus to the weak interactions of
the neutrino, and are dominated by energy and distance scales of the order of
the separation between nucleons in the nucleus. These response functions are
potentially an important early physics application of quantum computers. Here
we present an analysis of the resources required and their expected scaling for
scattering cross section calculations. We also examine simple small-scale
neutrino-nucleus models on modern quantum hardware. In this paper, we use
variational methods to obtain the ground state of a three nucleon system (the
triton) and then implement the relevant time evolution. In order to tame the
errors in present-day NISQ devices, we explore the use of different
error-mitigation techniques to increase the fidelity of the calculations.
