A Lossy Bosonic Quantum Channel with Non-Markovian Memory

TL;DR

This paper introduces a realistic model for a lossy bosonic quantum channel with non-Markovian memory effects, analyzing how correlated noise impacts classical information transmission over multiple uses.

Contribution

It presents a simple model capturing memory effects via mode interactions, enabling analysis of asymptotic behavior in classical information transmission.

Findings

Correlations decay exponentially over channel uses.

The model characterizes the asymptotic behavior of the channel.

Memory effects influence classical capacity in bosonic channels.

Abstract

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.