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.
From: Fatma Gouiaa [view email]
[v1]
Tue, 11 Mar 2025 15:23:48 UTC (299 KB)
[v2]
Wed, 19 Mar 2025 16:36:41 UTC (299 KB)
[v3]
Thu, 5 Feb 2026 20:50:35 UTC (416 KB)
[v4]
Mon, 27 Jul 2026 16:55:39 UTC (464 KB)
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