  Random walks behave very differently for classical and quantum particles.
Here we unveil a ubiquitous distinctive behavior of random walks of a photon in
a one-dimensional lattice in the presence of a finite number of traps, at which
the photon can be destroyed and the walk terminates. While for a classical
random walk the photon is unavoidably destroyed by the traps, for a quantum
walk the photon can remain alive and the walk continues forever. Such an
intriguing behavior is illustrated by considering photonic random walks in
synthetic mesh lattices with controllable decoherence, which enables to switch
from quantum to classical random walks.
