Computing Sum of Sources over a Classical-Quantum MAC

TL;DR

This paper introduces a coset code-based scheme for computing functions of two sources over a classical-quantum MAC, enabling efficient decoding without source recovery and improving existing capacity conditions.

Contribution

It develops a novel coding scheme using coset codes for classical-quantum MACs, providing weaker sufficient conditions for function computation.

Findings

Achieves capacity of classical-quantum point-to-point channels

Proposes a new ensemble of coset codes

Derives weaker sufficient conditions for function computation

Abstract

We consider the problem of communicating a general bivariate function of two classical sources observed at the encoders of a classical-quantum multiple access channel. Building on the techniques developed for the case of a classical channel, we propose and analyze a coding scheme based on coset codes. The proposed technique enables the decoder recover the desired function without recovering the sources themselves. We derive a new set of sufficient conditions that are weaker than the current known for identified examples. This work is based on a new ensemble of coset codes that are proven to achieve the capacity of a classical-quantum point-to-point channel.