  We present a method to map the evolution of photonic random walks that is
compatible with nonclassical input light. Our approach leverages a newly
developed flexible waveguide platform to tune the jumping rate between spatial
modes, allowing the observation of a range of evolution times in a chip of
fixed length. In a proof-of-principle demonstration we reconstruct the
evolution of photons through a uniform array of coupled waveguides by
monitoring the end-face alone. This approach enables direct observation of mode
occupancy at arbitrary resolution, extending the utility of photonic random
walks for quantum simulations and related applications.
