  We compare direct state measurement (DST or weak state tomography) to
conventional state reconstruction (tomography) through accurate Monte-Carlo
simulations. We show that DST is surprisingly robust to its inherent bias. We
propose a method to estimate such bias (which introduces an unavoidable error
in the reconstruction) from the experimental data. As expected we find that DST
is much less precise than tomography. We consider both finite and
infinite-dimensional states of the DST pointer, showing that they provide
comparable reconstructions.
