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arXiv · 0812.4625

Entanglement in eight-qubit graph states

Adan Cabello·Antonio J. Lopez-Tarrida·Pilar Moreno·Jose R. Portillo
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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)].

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Adan Cabello, Antonio J. Lopez-Tarrida, Pilar Moreno, Jose R. Portillo. 2008-12-25. Entanglement in eight-qubit graph states. https://doi.org/10.1016/j.physleta.2009.04.055

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