  In this contribution, we have investigated the bidirectional quantum
teleportation (BQT) of single-qubit states using a Bell state influenced by
decoherence channels with memory, dephasing and amplitude damping channels. The
expressions of the negativity, as a measure of the entanglement remaining in
the BQT quantum channel, the teleportation fidelities and the quantum Fisher
information are also evaluated. We find that both these last quantities depend
on the survival amount of entanglement in the BQT quantum channel, on the
decoherence factor and on the correlation degree of the decoherence channel. We
show that in the Markovian regime, the Negativity, the teleportation average
fidelities and the quantum Fisher information are slightly enhanced by
considering the classical channel correlations. Besides, in the non-Markovian
regime, these three quantities could be improved for a long period of time.
