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We investigate the lower bound obtained from experimental data of a quantumstate $\rho$, as proposed independently by G\"uhne et al. and Eisert et al. formixed states of three qubits. The measure we consider is the convex-roofextended three-tangle. Our findings highlight an intimate relation to lowerbounds obtained recently from so-called characteristic curves of a givenentanglement measure. We apply the bounds to estimate the three-tangle presentin recently performed experiments aimed at producing a three-qubit GHZ state. Anon-vanishing lower bound is obtained if the GHZ-fidelity of the producedstates is larger than 3/4.

Estimating multipartite entanglement measures