论文标题
Qudit Hypergraph状态中的多部分纠缠
Multipartite entanglement in qudit hypergraph states
论文作者
论文摘要
我们研究了任意有限维度中超晶态的纠缠特性。我们计算基本Qudit Hypergraph状态的多部分纠缠，即具有单个最大信号性超边缘的纠缠。我们表明，类似于Qubit情况，对于任意维度也存在一个下限，用于连接的Qudit HyperGraph状态的多部分纠缠；这是由等距基本超图状态的多部分纠缠所给出的，其Qudits数量与最大的心电图超质量相同。我们重点介绍了纠缠特征中素数和非质量维度之间的有趣差异。
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.
