  The remarkable robustness of high-temperature superconductors against
disorder remains a controversial obstacle towards the elucidation of their
pairing state. Indeed, experiments report a weak suppression rate of the
transition temperature $T_{c}$ with disorder, significantly smaller than the
universal value predicted by extensions of the conventional theory of dirty
superconductors. However, in many high-$T_{c}$ compounds, superconductivity
appears near a putative magnetic quantum critical point, suggesting that
quantum fluctuations, which suppress coherent electronic spectral weight, may
also promote unconventional pairing. Here we investigate theoretically the
impact of disorder on such a quantum critical pairing state, considering the
coupling of impurities both to the low-energy electronic states and to the
pairing interaction itself. We find a significant reduction in the suppression
rate of $T_{c}$ with disorder near the magnetic quantum critical point,
shedding new light on the nature of unconventional superconductivity in
correlated materials.
