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 $$t$$ t of a hypergraph state by using the Hamming weight of the so-called $$t$$ 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 full-rank hypergraph states of more than two qubits can not be converted into any graph state under local unitary transformations.
Quantum Information Processing – Springer Journals
Published: Oct 1, 2013
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