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Chin. Phys. B, 2014, Vol. 23(5): 050309    DOI: 10.1088/1674-1056/23/5/050309
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Measures of genuine multipartite entanglement for graph states

Guo Qun-Qun (郭群群), Chen Xiao-Yu (陈小余), Wang Yun-Yun (王赟赟)
College of Information and Electronic Engineering, Zhejiang Gongshang University, Hangzhou 310018, China
Abstract  Graph states are special multipartite entangled states that have been proven useful in a variety of quantum information tasks. We address the issue of characterizing and quantifying the genuine multipartite entanglement of graph states up to eight qubits. The entanglement measures used are the geometric measure, the relative entropy of entanglement, and the logarithmic robustness, have been proved to be equal for the genuine entanglement of a graph state. We provide upper and lower bounds as well as an iterative algorithm to determine the genuine multipartite entanglement.
Keywords:  genuine entanglement      graph state      iterative algorithm  
Received:  25 June 2013      Revised:  09 October 2013      Accepted manuscript online: 
PACS:  03.67.Mn (Entanglement measures, witnesses, and other characterizations)  
  03.65.Ud (Entanglement and quantum nonlocality)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 60972071 and 11375152).
Corresponding Authors:  Chen Xiao-Yu     E-mail:  xychen@zjgsu.edu.cn
About author:  03.67.Mn; 03.65.Ud

Cite this article: 

Guo Qun-Qun (郭群群), Chen Xiao-Yu (陈小余), Wang Yun-Yun (王赟赟) Measures of genuine multipartite entanglement for graph states 2014 Chin. Phys. B 23 050309

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