  Progress in computing the hadron spectrum in lattice QCD using stochastic
LapH quark propaga- tors is described. The stochastic LapH algorithm is a
particular quark smearing algorithm that also allows the computation of
all-to-all quark propagators. All-to-all quark propagators are required in our
approach of using a large set of spatially extended hadron operators and
explicit multi- particle operators to access excited states. We report on the
progress made in the various isospin channels on 2+1 dynamical, anisotropic
lattices generated by the Hadron Spectrum Collaboration.
