Quantum hypergraph states

DOI10.1088/1367-2630/15/11/113022zbMATH Open1451.81103arXiv1211.5554OpenAlexW1978938446WikidataQ59467987 ScholiaQ59467987MaRDI QIDQ5141597

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Publication date: 18 December 2020

Published in: (Search for Journal in Brave)

Abstract: We introduce a class of multiqubit quantum states which generalizes graph states. These states correspond to an underlying mathematical hypergraph, i.e. a graph where edges connecting more than two vertices are considered. We derive a generalised stabilizer formalism to describe this class of states. We introduce the notion of k-uniformity and show that this gives rise to classes of states which are inequivalent under the action of the local Pauli group. Finally we disclose a one-to-one correspondence with states employed in quantum algorithms, such as Deutsch-Jozsa's and Grover's.

Full work available at URL: https://arxiv.org/abs/1211.5554

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