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arXiv · 2205.08465

Multipartite entanglement in qudit hypergraph states

Daniele Malpetti·Alfredo Bellisario·Chiara Macchiavello
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Abstract

We study entanglement properties of hypergraph states in arbitrary finite dimension. We compute multipartite entanglement of elementary qudit hypergraph states, namely those endowed with a single maximum-cardinality hyperedge. We show that, analogously to the qubit case, also for arbitrary dimension there exists a lower bound for multipartite entanglement of connected qudit hypergraph states; this is given by the multipartite entanglement of an equal-dimension elementary hypergraph state featuring the same number of qudits as the largest-cardinality hyperedge. We highlight interesting differences between prime and non-prime dimension in the entanglement features.

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Daniele Malpetti, Alfredo Bellisario, Chiara Macchiavello. 2022-05-17. Multipartite entanglement in qudit hypergraph states. https://doi.org/10.1088/1751-8121%2Fac91b2

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