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arXiv · 1305.0662

Entropic measure and hypergraph states

Ri Qu·Yi-ping Ma·Yan-ru Bao·Juan Wang·Zong-shang Li
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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.

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Ri Qu, Yi-ping Ma, Yan-ru Bao, Juan Wang, Zong-shang Li. 2013-05-03. Entropic measure and hypergraph states. https://doi.org/10.1007/s11128-013-0646-1

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