Q-norm atomic operation

I was wondering if there is anyway to use a Q norm (i.e. sqrt(x’Qx) where Q is PSD) as an atom operation?
Otherwise I have to think/calculate by hand of the final norm structure, or decompose Q with eigen-decomposition.

norm(chol(Q)*x) if Q is not singular, or more generally, norm(sqrtm(Q)*x), whether or not Q is singular.