Qudit Hypergraph States
arXiv:1612.06418 · doi:10.1103/PhysRevA.95.052340
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.
14 pages, 4 figures
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- A note on the Bloch representation of absolutely maximally entangled states
- Multipartite States under Elementary Local Operations
- Multipartite entanglement in qudit hypergraph states
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- Level-rank duality of SU(2)k Chern-Simons theory, and of hypergraph and magic states
- Hypergraph States in SU(N)1, N odd prime, Chern-Simons Theory