  We theoretically investigate a possibility to establish multi-qubit quantum
correlations in one-dimensional chains of qubits. We combine a reservoir
engineering strategy with coherent dynamics to generate multi-qubit entangled
states. We find that an interplay between the coherent and incoherent dynamics
result in the generation of stable (time-independent) many-body entangled
steady states. Our results will be relevant in the context of the dissipative
generation of quantum states, with applications in short-distance quantum
computation and for exploring the emergence of collective phenomena in
many-body open quantum systems.
