  We present a time-dependent quantum algorithm for nuclear inelastic
scattering in the time-dependent basis function on qubits approach. This
algorithm aims to quantum simulate a subset of the nuclear inelastic scattering
problems that are of physical interest, in which the internal degrees of
freedom of the reaction system are excited by time-dependent external
interactions. We expect that our algorithm will enable an exponential speedup
in simulating the dynamics of the subset of the inelastic scattering problems,
which would also be advantageous for the applications to more complicated
scattering problems. For a demonstration problem, we solve for the Coulomb
excitation of the deuteron, where the quantum simulations are performed with
IBM Qiskit.
