  We report current progress on the synthesis of methods to alleviate two major
difficulties in implementing a Monte Carlo Renormalization Group (MCRG) for
quantum systems. In particular, we have utilized the loop-algorithm to reduce
critical slowing down, and we have implemented an MCRG method in which the
symmetries of the classical equivalent model need not be fully understood,
since the Renormalization Group is given by the Monte Carlo simulation. We
report preliminary results obtained when the resulting MCRG method is applied
to the d=1 XXZ model. Our results are encouraging. However, since this model
has a Kosterlitz-Thouless transition, it does not yet provide a full test of
our MCRG method.
