A Lossy Bosonic Quantum Channel with Non-Markovian Memory
  We provide a simple and realistic model to study memory effects in a lossy bosonic quantum channel over arbitrary number of uses. The noise correlation among different uses is introduced by contiguous modes interactions which results in an exponential decay of the correlations over channel uses (modes). This model allows us to characterize the asymptotic behavior of the channel for classical information transmission. 
O. V. Pilyavets, V. G. Zborovskii, S. Mancini