We undertake a Shannon theoretic study of the problem of communicating bit streams over a 3-user classical-quantum interference channel (3-CQIC) and focus on characterizing inner bounds. We design a new coding strategy based on (i) coset codes possessing algebraic closure properties and (ii) decoding POVMs to decode bi-variate interference efficiently. Needing to perform simultaneous decoding, we enhance Sen's powerful technique of tilting, smoothing, and augmentation - originally designed only for IID codes - to decode into `functions of codebooks'. Developing analysis techniques to combine all of these elements, we derive a new inner bound to the capacity region of a 3-CQIC. The derived inner bound subsumes all currently known inner bounds and is analytically proven to be strictly larger for identified examples, including non-commutative `additive' and `non-additive' ones.

翻译：我们针对三用户经典-量子干扰信道（3-CQIC）上比特流通信问题进行香农理论层面的研究，重点刻画内界特征。提出一种基于（i）具有代数封闭性质的陪集码与（ii）用于高效译码二元干扰的译码POVM的新型编码策略。为实现联合译码，我们改进了Sen提出的倾斜、平滑与增广强效技术（该技术最初仅针对独立同分布码设计），使其能够译码为“码本函数”。通过开发融合上述所有要素的分析技术，我们推导出3-CQIC容量区域的新内界。该内界囊括所有已知内界，并在包括非交换“可加性”与“非可加性”在内的特定示例中严格更大，这已通过解析证明。