In this work, we study a two-mode bosonic encoding of a quoctit inside a non-Abelian group-structured constellation of coherent states. This work is motivated by the importance of non-Abelian symmetry in particle physics and the desire to have transversal non-Abelian logical gates. We use the previously developed $2T$ constellation of states used to encode a so-called $2T$ qutrit. The fidelity of the $2T$ quoctit is benchmarked against other bosonic qudits for different noise models and find it compare favorably when power constraints are considered. This paves the way for the construction of higher-dimensional qudits (e.g., a quicosotetrit with $2T$ group structure) in bosonic systems with practical applications in quantum simulations of particle physics.

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• Lattice QCD
• Quantum algorithms
• Qudits