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Entanglement in eight-qubit graph states

2009; Elsevier BV; Volume: 373; Issue: 26 Linguagem: Inglês

10.1016/j.physleta.2009.04.055

1873-2429

Adán Cabello, Antonio J. López-Tarrida, Pilar Moreno, José R. Portillo,

Quantum Mechanics and Applications

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)].