Entanglement in eight-qubit graph states

DOI10.1016/J.PHYSLETA.2009.04.055zbMATH Open1231.81012arXiv0812.4625OpenAlexW2163749726WikidataQ62115725 ScholiaQ62115725MaRDI QIDQ662917

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Publication date: 13 February 2012

Published in: (Search for Journal in Brave)

Abstract: Any 8-qubit graph state belongs to one of the 101 equivalence classes under local unitary operations within the Clifford group. For each of these classes we obtain a representative which requires the minimum number of controlled-Z gates for its preparation, and calculate the Schmidt measure for the 8-partite split, and the Schmidt ranks for all bipartite splits. This results into an extension to 8 qubits of the classification of graph states proposed by Hein, Eisert, and Briegel [Phys. Rev. A 69, 062311 (2004)].

Full work available at URL: https://arxiv.org/abs/0812.4625

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