  A Q-system is a unitary version of a separable Frobenius algebra object in a
C*-tensor category. In a recent joint work with P. Das, S. Ghosh and C. Jones,
the author has categorified Bratteli diagrams and unitary connections by
building a $2$-category \textbf{UC}. We prove that every $Q$-system in
\textbf{UC} splits.
