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
[M. Hein, J. Eisert, H.J. Briegel, Phys. Rev. A 69 (2004) 062311].Junta de Andalucía P06-FQM-02243Ministerio de Ciencia e Innovación FIS2008-05596Junta de Andalucía PAI-FQM-0239Junta de Andalucía P06-FQM-01649Ministerio de Educación y Ciencia MTM2008-05866-C03-01Junta de Andalucía PAI-FQM-016
