  We present a numerical treatment of a novel non-perturbative lattice
regularization of a $1+1d$ $SU(2)$ Chiral Gauge Theory. Our approach follows
recent proposals that exploit the newly discovered connection between anomalies
and topological (or entangled) states to show how to create a lattice
regularization of any anomaly-free chiral gauge theory. In comparison to other
methods, our regularization enjoys on-site fermions and gauge action, as well
as a physically transparent fermion Hilbert space. We follow the `mirror
fermion' approach, in which we first create a lattice regularization of both
the chiral theory and its mirror conjugate and then introduce interactions that
gap out only the mirror theory. The connection between topological states and
anomalies shows that such interactions exist if the chiral theory is free of
all quantum anomalies. Instead of numerically intractable fermion-fermion
interactions, we couple the mirror theory to a Higgs field driven into a
symmetry-preserving, disordered, gapped phase.
