  A quantum process is called non-Markovian when memory effects take place
during its evolution. Quantum non-Markovianity is a phenomenon typically
associated with the information back-flow from the environment to the principal
system, however it has been shown that such an effect is not necessary. In this
work, we establish a connection between quantum non-Markovianity and the
protocol of quantum teleportation in both discrete and continuous-variable
systems. We also show how information flows during a teleportation protocol
between the principal system and the environment in a bidirectional way leading
up to a state revival. Finally, given the resource-like role of entanglement in
the teleportation protocol, the relationship between this property and
non-Markovianity is also elucidated.
