English

Entropic measure and hypergraph states

Quantum Physics 2014-11-20 v1

Abstract

We investigate some properties of the entanglement of hypergraph states in purely hypergraph theoretical terms. We first introduce an approach for computing local entropic measure on qubit t of a hypergraph state by using the Hamming weight of the so-called t-adjacent subhypergraph. Then we quantify and characterize the entanglement of hypergraph states in terms of local entropic measures obtained by using the above approach. Our results show that a class of n-qubit hypergraph states can not be converted into any graph state under local unitary transformations.

Keywords

Cite

@article{arxiv.1305.0662,
  title  = {Entropic measure and hypergraph states},
  author = {Ri Qu and Yi-ping Ma and Yan-ru Bao and Juan Wang and Zong-shang Li},
  journal= {arXiv preprint arXiv:1305.0662},
  year   = {2014}
}

Comments

11 pages; 1 figure

R2 v1 2026-06-22T00:10:49.969Z