Achievable Rate Regions for Multi-terminal Quantum Channels via Coset Codes
Abstract
We undertake a Shannon theoretic study of the problem of communicating bit streams over a 3-user quantum interference channel (QIC) and focus on characterizing inner bounds. Adopting the powerful technique of tilting, smoothing, and augmentation discovered by Sen recently, and combining with our coset code strategy, we derive a new inner bound to the classical-quantum capacity region of a 3-user QIC. The derived inner bound subsumes all currently known bounds and is proven to be strictly larger for identified examples.
Cite
@article{arxiv.2503.07804,
title = {Achievable Rate Regions for Multi-terminal Quantum Channels via Coset Codes},
author = {Fatma Gouiaa and Arun Padakandla},
journal= {arXiv preprint arXiv:2503.07804},
year = {2026}
}
Comments
This version includes (i) new additive and non-additive, non-commutative examples that establish the suboptimality of unstructured IID coding strategies in classical-quantum settings, and (ii) detailed proofs of the coding theorems