Maximally multipartite entangled states

A pure quantum state of N qubits has maximal bipartite entanglementif, for a given bipartition, the reduced density matrix of N/2 qubitsis totally mixed.The notion of maximally multipartite entangled states generalizes thisnotion. These states have a bipartite entanglement that does not dependon the bipartition and is maximal for all possible bipartitions. They are solutions of a minimization problem. Examples for small N areinvestigated, both analytically and numerically.