On the classical capacity of quantum Gaussian channels

TL;DR

This paper investigates the classical capacity of quantum Gaussian channels, providing bounds and analytical expressions for Gaussian encodings to better understand their information transmission limits.

Contribution

It offers new bounds on the classical capacity of Gaussian channels and analytical formulas for Gaussian encodings, advancing the understanding of quantum communication limits.

Findings

Derived bounds on classical capacity for Gaussian channels

Provided analytical expressions for Gaussian encodings

Enhanced understanding of quantum channel information transmission

Abstract

The set of quantum Gaussian channels acting on one bosonic mode can be classified according to the action of the group of Gaussian unitaries. We look for bounds on the classical capacity for channels belonging to such a classification. Lower bounds can be efficiently calculated by restricting to Gaussian encodings, for which we provide analytical expressions.