  Quantum state transfer between distant nodes is at the heart of quantum
processing and quantum networking. Stimulated by this, we propose a scheme
where one can highly achieve quantum state transfer between sites in a cavity
quantum optomechanical network. There, each individual cell site is composed of
a localized mechanical mode which interacts with a laser-driven cavity mode via
radiation pressure, and photons exchange between neighboring sites is allowed.
After the diagonalization of the Hamiltonian of each cell, we show that the
system can be reduced to an effective Hamiltonian of two decoupled bosonic
chains, and therefore we can apply the well-known results regarding quantum
state transfer in conjuction with an additional condition on the transfer
times. In fact, we show that our transfer protocol works for any arbitrary
quantum state, a result that we will illustrate within the red sideband regime.
Finally, in order to give a more realistic scenario we take into account the
effects of independent thermal reservoirs for each site. Thus, solving the
standard master equation within the Born-Markov approximation, we reassure both
the effective model as well as the feasibility of our protocol.
