  The interdependence between long range correlations and topological
signatures in fermionic arrays is examined. End-to-end correlations, in
particular classical correlations, maintain a characteristic pattern in the
presence of delocalized excitations and this behavior can be used as an
operational criterion to identify Majorana fermions in one-dimensional systems.
The study discusses how to obtain the chain eigenstates in tensor-state
representation together with the proposed assessment of correlations.
Outstandingly, the final result can be written as a simple analytical
expression that underlines the link with the system's topological phases.
