  We introduce a general method based on the operators of the Dyson-Masleev
transformation to map the Hamiltonian of an arbitrary model system into the
Hamiltonian of a circuit Quantum Electrodynamics (cQED) processor. Furthermore,
we introduce a modular approach to program a cQED processor with components
corresponding to the mapping Hamiltonian. The method is illustrated as applied
to quantum dynamics simulations of the Fenna-Matthews-Olson (FMO) complex and
the spin-boson model of charge transfer. Beyond applications to molecular
Hamiltonians, the mapping provides a general approach to implement any unitary
operator in terms of a sequence of unitary transformations corresponding to
powers of creation and annihilation operators of a single bosonic mode in a
cQED processor.
