  The three-dimensional quenched random bond diluted $(J_1-J_2)$ quantum
Heisenberg antiferromagnet is studied on a simple-cubic lattice. Using
extensive stochastic series expansion quantum Monte Carlo simulations, we
perform very long runs for $L \times L \times L$ lattice up to $L=48$. By
employing standard finite-size scaling method, the numerical values of the
N\'eel temperature are determined with high precision as a function of the
coupling ratio $r=J_2/J_1$. Based on the estimated critical exponents, we find
that the critical behavior of the considered model belongs to the pure
classical $3D$ $O(3)$ Heisenberg universality class.
