Entanglement in eight-qubit graph states
Quantum Physics
2010-07-26 v3
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)].
Keywords
Cite
@article{arxiv.0812.4625,
title = {Entanglement in eight-qubit graph states},
author = {Adan Cabello and Antonio J. Lopez-Tarrida and Pilar Moreno and Jose R. Portillo},
journal= {arXiv preprint arXiv:0812.4625},
year = {2010}
}
Comments
REVTeX4, 9 pages, 2 figures