Qudit Hypergraph States
  We generalize the class of hypergraph states to multipartite systems of qudits, by means of constructions based on the d-dimensional Pauli group and its normalizer. For simple hypergraphs, the different equivalence classes under local operations are shown to be governed by a greatest common divisor hierarchy. Moreover, the special cases of three qutrits and three ququarts is analysed in detail. 
Frank E.S. Steinhoff, Christina Ritz, Nikolai Miklin, Otfried G\"uhne
quant-ph