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Genuine Entanglement of Four Qubit Cluster Diagonal States

Quantum Physics 2013-05-30 v3

Abstract

We reduce the necessary and sufficient biseparable conditions of the four qubit cluster diagonal state to concise forms. Only 4 out of the 15 parameters are proved to be relevant in specifying the genuine entanglement of the state. Using the relative entropy of entanglement as the entanglement measure, we analytically find the genuine entanglement of all the four qubit cluster diagonal states. The formulas of the genuine entanglement are of five kinds, for seven different parameter regions of entanglement.

Keywords

Cite

@article{arxiv.1204.5512,
  title  = {Genuine Entanglement of Four Qubit Cluster Diagonal States},
  author = {Xiao-yu Chen and Ping Yu and Li-zhen Jiang and Mingzhen Tian},
  journal= {arXiv preprint arXiv:1204.5512},
  year   = {2013}
}

Comments

7 pages, 4 figures