A specific realisation of QEG is quantum quadratic gravity (QQG). This a quantum extension of general relativity obtained by adding all local quadratic-in-curvature terms to the Einstein-Hilbert Lagrangian. QQG, besides being renormalizable, has also been shown to feature a UV fixed point (even in the presence of realistic matter sectors). It can, therefore, be regarded as a concrete realisation of asymptotic safety.