vix.ing · top · new · best · stats · spec

An Achievable Rate Region for 3-User Classical Quantum Broadcast Channel via Coset Codes

2025/03/11 by Fatma Gouiaa, Gouiaa, Fatma, Arun Padakandla +1
Computer Science · Mathematics · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum-Dot Cellular Automata #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.2503.08755

openalex publication_date 2025/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

We undertake a Shannon theoretic study of the problem of communicating statistically independent bit streams over a 3-user classical quantum broadcast channel (3-CQBC) and focus on characterizing inner bounds to its capacity region. We propose a coding strategy based on coset codes possessing algebraic closure properties. Elevating Sen's technique of tilting, smoothing, and augmentation - originally designed only for IID codes - we design new POVMs that can simultaneously decode into a combination of unstructured IID and coset codes to efficiently decode univariate and bivariate interferences respectively. Analyzing the information-theoretic performance of the proposed coding strategy we characterize a new inner bound to the capacity region of the 3-CQBC that subsumes all currently known bounds and is proven to be strictly larger for identified examples.

Related