Eur. Phys. J. D (2016) 70: 62
https://doi.org/10.1140/epjd/e2016-60555-5

Regular Article

Multipartite entanglement in four-qubit graph states

Physics Department, Shahid Chamran University, Ahvaz, Iran

^a e-mail: mojtabajafarpour@hotmail.com

Received: 3 October 2015
Received in final form: 11 January 2016
Published online: 22 March 2016

Abstract

We consider a compendium of the non-trivial four-qubit graphs, derive their corresponding quantum states and classify them into equivalent classes. We use Meyer-Wallach measure and its generalizations to study block-partition and global entanglement in these states. We obtain several entanglement quantities for each graph state, which present a comprehensive characterization of the entanglement properties of the latter. As a result, a number of correlations between the graph structure and multipartite entanglement quantities have also been established.