  A digital quantum simulation of the Agassi model from nuclear physics is
proposed and analyzed. The proposal is worked out for the case with four
different sites. Numerical simulations and analytical estimations are presented
to illustrate the feasibility of this proposal with current technology. The
proposed approach is fully scalable to a larger number of sites. The use of a
quantum correlation function as a probe to explore the quantum phases by
quantum simulating the time dynamics, with no need of computing the ground
state, is also studied. Evidence is given showing that the amplitude of the
time dynamics of a correlation function in this quantum simulation is linked to
the different quantum phases of the system. This approach establishes an avenue
for the digital quantum simulation of useful models in nuclear physics.
