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arXiv · 2503.08755

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

Fatma Gouiaa·Arun Padakandla
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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.

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Fatma Gouiaa, Arun Padakandla. 2025-03-11. An Achievable Rate Region for 3-User Classical Quantum Broadcast Channel via Coset Codes. https://arxiv.org/abs/2503.08755

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