  In this paper, we propose a non-Markovian quantum channel approach to
mitigating the degradation of the average fidelity in continuous-variable
quantum teleportation. The non-Markovian quantum channel is modeled by an
augmented system, where ancillary systems are introduced to represent the
internal modes of non-Markovian environments. With a proper non-Markovianity,
enhanced effects of the channels on continuous-variable quantum teleportation
are observed. Also, the logarithmic negativity of entangled states can be
effectively maintained so that the decay of the average fidelity of quantum
teleportation is mitigated. In addition, the analysis on different teleported
quantum states shows that coherent states exhibit stronger robustness than
those of squeezed states and cat states in quantum teleportation with a
non-Markovian channel.
