  We consider one-dimensional quantum walks in optical linear networks with
synthetically introduced disorder and tunable system parameters allowing for
the engineered realization of distinct topological phases. The option to
directly monitor the walker's probability distribution makes this optical
platform ideally suited for the experimental observation of the unique
signatures of the one-dimensional topological Anderson transition. We
analytically calculate the probability distribution describing the quantum
critical walk in terms of a (time staggered) spin polarization signal and
propose a concrete experimental protocol for its measurement. Numerical
simulations back the realizability of our blueprint with current date
experimental hardware.
