  In two dimensions strongly interacting bosons in a magnetic field can realize
a bosonic integer quantum Hall state, the simplest two dimensional example of a
symmetry protected topological phase. We propose a realistic implementation of
this phase using an optical flux lattice. Through exact diagonalization
calculations, we show that the system exhibits a clear bulk gap and the
topological signature of the bosonic integer quantum Hall state. In particular,
the calculation of the many-body Chern number leads to a quantized Hall
conductance in agreement with the analytical predictions. We also study the
stability of the phase with respect to some of the experimentally relevant
parameters.
