We consider the X-ray luminosity difference between neutron star and black
hole soft X-ray transients (NS and BH SXTs) in quiescence. The current obse
rvational data suggest that BH SXTs are significantly fainter than NS SXTs.
The luminosities of quiescent BH SXTs are consistent with the predictions
of binary-evolution models for the mass transfer rate if (1) accretion occu
rs via an advection-dominated accretion flow (ADAF) in these systems and (2
) the accreting compact objects have event horizons. The luminosities of qu
iescent NS SXTs are not consistent with the predictions of ADAF models when
combined with binary-evolution models, unless most of the mass accreted in
the ADAF is prevented from reaching the neutron star surface. We consider
the possibility that mass accretion is reduced in quiescent NS SXTs because
of an efficient propeller and develop a model of the propeller effect that
accounts for the observed luminosities. We argue that modest winds from AD
AFs are consistent with the observations, while strong winds are probably n
ot.