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arXiv 0812.4625quant-ph
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八量子比特图态中的纠缠

Entanglement in eight-qubit graph states

Adan Cabello, Antonio J. Lopez-Tarrida, Pilar Moreno, Jose R. Portillo

摘要:

任何8-qubit图形状态都属于Clifford群内局部酉运算下的101个等价类之一。对于这些类中的每一个,我们得到一个代表,它需要最小数量的控制Z门的准备,并计算施密特措施的8分分裂,施密特排名为所有的二分分裂。这导致了Hein,Mülert和Briegel [Phys.Rev.A69,062311(2004)]提出的图状态分类的8量子比特的扩展。

英文摘要:

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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