  We investigate the ground-state properties of a disorderd Ising model with
uniform transverse field on the Bethe lattice, focusing on the quantum phase
transition from a paramagnetic to a glassy phase that is induced by reducing
the intensity of the transverse field. We use a combination of quantum Monte
Carlo algorithms and exact diagonalization to compute R\'enyi entropies,
quantum Fisher information, correlation functions and order parameter. We
locate the transition by means of the peak of the R\'enyi entropy and we find
agreement with the transition point estimated from the emergence of finite
values of the Edwards-Anderson order parameter and from the peak of the
correlation length. We interpret the results by means of a mean-field theory in
which quantum fluctuations are treated as massive particles hopping on the
interaction graph. We see that the particles are delocalized at the transition,
a fact that points towards the existence of possibly another transition deep in
the glassy phase where these particles localize, therefore leading to a
many-body localized phase.
