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We propose a scheme of multipartite entanglement distillation driven by acomplementary pair of stabilizer measurements, to distill directly a widerrange of states beyond the stabilizer code states (such as theGreenberger-Horne-Zeilinger states). We make our idea explicit by constructinga recurrence protocol for the 3-qubit W state. Noisy W states resulting fromtypical decoherence can be directly purified in a few steps, if their initialfidelity is larger than a threshold. For general input mixed states, we observedistillations to hierarchical fixed points, i.e., not only to the W state butalso to the 2-qubit Bell pair, depending on their initial entanglement.Comment: 5 pages, 6 eps figures; final versio

Distillation of Multipartite Entanglement by Complementary Stabilizer Measurements