  In recent years, tools from quantum information theory have become
indispensable in characterizing many-body systems. In this work, we employ
measures of entanglement to study the interplay between disorder and the
topological phase in 1D systems of the Kitaev type, which can host Majorana end
modes at their edges. We find that the entanglement entropy may actually
increase as a result of disorder, and identify the origin of this behavior in
the appearance of an infinite-disorder critical point. We also employ the
entanglement spectrum to accurately determine the phase diagram of the system,
and find that disorder may enhance the topological phase, and lead to the
appearance of Majorana zero modes in systems whose clean version is trivial.
