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arXiv · 1612.06418

Qudit Hypergraph States

Frank E. S. Steinhoff·Christina Ritz·Nikolai Miklin·Otfried Gühne
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Abstract

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.

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Frank E. S. Steinhoff, Christina Ritz, Nikolai Miklin, Otfried Gühne. 2017-01-20. Qudit Hypergraph States. https://doi.org/10.1103/physreva.95.052340

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