  We study the interplay of superfluidity, glassy and magnetic orders of
hardcore bosons with random frustrating interactions. In the classical limit,
this model reduces to a $\pm J$ Edwards-Anderson Ising model with concentration
$p$ of the ferromagnetic bonds, which hosts a glassy-ferromagnetic transition
at a critical concentration $p_c^{\rm cl}\sim 0.77$ on a 3D cubic lattice. Our
quantum Monte Carlo simulation results using the worm algorithm show that
quantum fluctuations stabilize the coexistence of superfluidity and glassy
order ("superglass"), and shift the (super)glassy-ferromagnetic transition to
$p_c> p_c^{\rm cl}$. In contrast, antiferromagnetic order coexists with
superfluidity to form a supersolid, and the transition to the glassy phase
occurs at a higher $p$.
