  We consider the task of communicating a generic bivariate function of two
classical sources over a Classical-Quantum Multiple Access Channel (CQ-MAC).
The two sources are observed at the encoders of the CQ-MAC, and the decoder
aims at reconstructing a bivariate function from the received quantum state.
Inspired by the techniques developed for the analogous classical setting, and
employing the technique of simultaneous (joint) decoding developed for the
classical-quantum setting, we propose and analyze a coding scheme based on a
fusion of algebraic structured and unstructured codes. This coding scheme
allows exploiting both the symmetric structure common amongst the sources and
the asymmetries. We derive a new set of sufficient conditions that strictly
enlarges the largest known set of sources (capable of communicating the
bivariate function) for any given CQ-MAC. We provide these conditions in terms
of single-letter quantum information-theoretic quantities.
