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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… Click to show full 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.
Keywords:
hypergraph states;
qudit hypergraph
Journal Title: Physical Review A
Year Published: 2017
Link to full text (if available)
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Journal Title: Physical Review A
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!