  We study Bosonic representation of spin Ising model with the application of
simulating two level systems using continuous variable quantum processors. We
decompose the time evolution of spin systems into a sequence of continuous
variable logical gates and analyze their structure. We provide an estimation of
quantum circuit scaling with the size of the spin lattice system. Furthermore,
we discuss the possibility of using a Gaussian Boson sampling device to
estimate the ground state energy of Ising Hamiltonian. The result has potential
application in developing hybrid classical-quantum algorithms such as
continuous variable version of variational quantum eigensolver.
