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We investigate the Jordan-Wigner fermion clusters with the stationarydistributed pairwise quantum discord. Such clusters appear after theJordan-Wigner transformation of a spin chain governed by the nearest-neighborXY-Hamiltonian with the particular initial state having one polarized node. Weshow that the quantum discord stationarity in such systems is not destroyed bythe "parasitic" polarization of at least two types. First type appears becausethe initial state with a single polarized node is hardly realizableexperimentally, so that the low polarization of neighboring nodes must be takeninto account. Second, the additional noise-polarization of all nodes isunavoidable. Although the stationarity may not be destroyed by perturbations ofthe above two types, the parasitic polarizations deform the distribution of thepairwise discord and may destroy the clusters of correlated fermions with equalpairwise discords. Such deformations are studied in this paper.

Robust stationary distributed discord in Jordan-Wigner fermion system under perturbations of initial state