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Continuous-variable quantum teleportation through bosonic memory channel

We put forward a scheme for quantum teleportation of continuous-variable Gaussian states using, as a quantum channel, a two-mode squeezed vacuum interacting with a thermal environment showing memory effects. We found that fidelity larger than the classical limit may be obtained, upon exploiting memory effects, also using lower measurement gain. We show that fidelity increases with the memory of the channel and decreases with the thermal noise. Finally, we discuss the effects of memory on the distortion cumulants.