Fig. 10
From: A geometric formulation to measure global and genuine entanglement in three-qubit systems

Entanglement measures \(\xi (\psi )\), \(\mu (\psi )\), \(F_{123} (\psi )\) and \(\mathcal {C}_{GME} (\psi )\) for states \(\vert \psi _{{\text {sep}}} \rangle\), \(\vert \psi _{{\text {bi}}} \rangle = \vert 0 \rangle _i \vert \Psi ^+ \rangle _{jk}\), \(\vert W \rangle\) and \(\vert GHZ \rangle\). All the measures give 0 for fully separable states. Measure \(\xi\) does not discriminate bi-separability from genuine entanglement since it averages a value different from 0 for bi-separable states. Among these measures, \(\mu\) gives the lowest results for the four states.