期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 55, 期 41, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1751-8121/ac91b2
关键词
quantum computation; entanglement; multipartite entanglement; qudit; hypergraph states; prime dimension
资金
- Italian Ministry of University and Research (MUR)
- Department of Physics, University of Pavia
- EU H2020 QuantERA ERA-NET Cofund in Quantum Technologies project QuICHE
We study the entanglement properties of hypergraph states in arbitrary finite dimensions, calculating the multipartite entanglement of elementary qudit hypergraph states. We find that, similar to the qubit case, there exists a lower bound for the multipartite entanglement of connected qudit hypergraph states in arbitrary dimensions. This lower bound is determined by the entanglement of an equal-dimension elementary hypergraph state with the same number of qudits as the largest-cardinality hyperedge. We also observe interesting differences in the entanglement features between prime and non-prime dimensions.
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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