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Knips, Lukas; Schwemmer, Christian; Klein, Nico; Wiesniak, Marcin and Weinfurter, Harald (2016): Multipartite Entanglement Detection with Minimal Effort. In: Physical Review Letters, Vol. 117, No. 21, 210504

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Certifying entanglement of a multipartite state is generally considered a demanding task. Since an N qubit state is parametrized by 4(N) - 1 real numbers, one might naively expect that the measurement effort of generic entanglement detection also scales exponentially with N. Here, we introduce a general scheme to construct efficient witnesses requiring a constant number of measurements independent of the number of qubits for states like, e.g., Greenberger-Horne-Zeilinger states, cluster states, and Dicke states. For four qubits, we apply this novel method to experimental realizations of the aforementioned states and prove genuine four-partite entanglement with two measurement settings only.

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