  Temporal multiplexing provides an efficient and scalable approach to realize
a quantum random walk with photons that can exhibit topological properties. But
two dimensional time-multiplexed topological quantum walks studied so far have
relied on generalizations of the Su-Shreiffer-Heeger (SSH) model with no
synthetic gauge field. In this work, we demonstrate a 2D topological quantum
random walk where the non-trivial topology is due to the presence of a
synthetic gauge field. We show that the synthetic gauge field leads to the
appearance of multiple bandgaps and consequently, a spatial confinement of the
random walk distribution. Moreover, we demonstrate topological edge states at
an interface between domains with opposite synthetic fields. Our results expand
the range of Hamiltonians that can be simulated using photonic random walks.
