  We propose a framework for computing the structure and dynamics for
second-quantized many-nucleon Hamiltonians on quantum computers. We develop an
oracle-based Hamiltonian input model that computes the many-nucleon states and
nonzero Hamiltonian matrix elements of the many-nucleon system. With our
Fock-state based input model, we show how to implement the sparse matrix
simulation algorithms to calculate the dynamics of the second-quantized
many-nucleon Hamiltonian. Based on the dynamics simulation methods, we also
present the methodology for structure calculations of the many-nucleon system.
In this work, we provide an explicit circuit design of our input model of the
second-quantized Hamiltonian within a direct encoding scheme that maps the
occupation of each available single-particle state in the many-nucleon state to
the state of specific qubit in a quantum register. We analyze our method and
provide the asymptotic cost in computing resources for structure and dynamics
calculations of many-nucleon systems. For pedagogical purposes, we demonstrate
our input model with two model problems in restricted model spaces.
