Qudit hypergraph states
F. E. S. Steinhoff, Christina Ritz, Nikolai Miklin, Otfried Gühne · Physical Review A · 2017
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 analyzed in detail.