Entanglement in eight-qubit graph states

Details Entanglement in eight-qubit graph states Entanglement in eight-qubit graph states

2008-12-25

arxiv.org/abs/0812.4625v3

Phys. Lett. A 373 (2009) 2219

Physics

Quantum Physics

REVTeX4, 9 pages, 2 figures

Scientific paper

10.1016/j.physleta.2009.04.055

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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