Qudit Hypergraph States
Quantum Physics
2017-06-01 v2
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
Cite
@article{arxiv.1612.06418,
title = {Qudit Hypergraph States},
author = {Frank E. S. Steinhoff and Christina Ritz and Nikolai Miklin and Otfried Gühne},
journal= {arXiv preprint arXiv:1612.06418},
year = {2017}
}
Comments
14 pages, 4 figures