  In this contribution, two versions of teleportation protocol are considered,
based on either using a single or two copies of entangled atom-field state,
respectively. It is shown that, by using the first version, the fidelity of the
teleported state as well as the amount of quantum Fisher information, that
contains in the teleported state, are much better than using the second
version. In general, one may increases the fidelity of teleported information
by increasing the mean photon number and decreasing the detuning parameter. The
fidelity of teleporting classical information is much better than teleporting
quantum information. Moreover, teleportating classical information that
initially encoded in an exited states is much better than that encodes in the
ground states. However, the teleported Fisher information that initially
encoded in a ground state is much larger than those initially encoded in
entangled states.
