  We present a cascaded variational quantum eigensolver algorithm that only
requires the execution of a set of quantum circuits once rather than at every
iteration during the parameter optimization process, thereby increasing the
computational throughput. This algorithm uses a quantum processing unit to
probe the needed probability mass functions and a classical processing unit
perform the remaining calculations, including the energy minimization. The
ansatz form does not restrict the Fock space and provides full control over the
trial state, including the implementation of symmetry and other physically
motivated constraints.
