Simultaneous Decoding of Classical Coset Codes over $3-$User Quantum Interference Channel : New Achievable Rate Regions

We undertake a Shannon theoretic study of the problem of communicating classical information over a $3-$user quantum interference channel (QIC) and focus on characterizing inner bounds. In our previous work, we had demonstrated that coding strategies based on coset codes can yield strictly larger inner bounds. Adopting the powerful technique of \textit{tilting}, \textit{smoothing} and \textit{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 current known bounds.