Parameterized Multipartite Entanglement and Genuine Entanglement Measures Based on -Concurrence.

We study genuine multipartite entanglement (GME) and multipartite -entanglement based on -concurrence. Well-defined parameterized GME measures and measures of multipartite -entanglement are presented for arbitrary dimensional -partite quantum systems. Our GME measures show that the GHZ state is more entangled than the state.