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A decomposition of the non-equilibrium stationary state of a quadratic Fermisystem influenced by linear baths is obtained and used to establish asimulation protocol in terms of tensor states. The scheme is then applied toexamine the occurrence of uncoupled Majorana fermions in Kitaev chains subjectto baths on the ends. The resulting phase diagram is compared against thetopological characterization of the equilibrium chain and the protocolefficiency is studied with respect to this model

Uncoupled Majorana fermions in open quantum systems: On the efficient simulation of non-equilibrium stationary states of quadratic Fermi models