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Abstract

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 nonabelian symmetry in particle physics and the desire to have transversal nonabelian 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.