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We consider multipartite states of qubits and prove that their bipartite quantum entanglement, as quantified by the concurrence, satisfies a monogamy inequality conjectured by Coffman, Kundu, and Wootters. We relate this monogamy inequality to the concept of frustration of correlations in quantum spin systems.doi:10.1103/physrevlett.96.220503 pmid:16803293 fatcat:ypfww3bekbahtprnwc2k4uq2h4