  A decomposition of the non-equilibrium stationary state of a quadratic Fermi
system influenced by linear baths is obtained and used to establish a
simulation protocol in terms of tensor states. The scheme is then applied to
examine the occurrence of uncoupled Majorana fermions in Kitaev chains subject
to baths on the ends. The resulting phase diagram is compared against the
topological characterization of the equilibrium chain and the protocol
efficiency is studied with respect to this model
