Characterization of multiqubit pure-state entanglement

Zeqian Chen and Quanhua Xu
Phys. Rev. A 73, 034306 – Published 16 March 2006

Abstract

A necessary and sufficient entanglement criterion based on variances of Mermin-Klyshko’s Bell operators is proved for multiqubit pure states. Contrary to Bell’s inequalities, entangled pure states strictly satisfy a quadratic inequality but product ones can attain the equality under some local unitary transformations, which can be obtained by solving a quadratic maximum problem. This presents a characterization of multiqubit pure-state entanglement.

  • Received 13 January 2006

DOI:https://doi.org/10.1103/PhysRevA.73.034306

©2006 American Physical Society

Authors & Affiliations

Zeqian Chen*

  • State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics and United Laboratory of Mathematical Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, 30 West District, Xiao-Hong-Shan, P. O. Box 71010, Wuhan 430071, China

Quanhua Xu

  • Laboratoire de Mathématique, Université de Franche-Comté, 16, Route de Gray, 25030 Besançon Cedex, France

  • *Electronic address: zqchen@wipm.ac.cn
  • Electronic address: quanhua.xu@math.univ-fcomte.fr

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Issue

Vol. 73, Iss. 3 — March 2006

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