Multiqubit symmetric states with high geometric entanglement

J. Martin, O. Giraud, P. A. Braun, D. Braun, and T. Bastin
Phys. Rev. A 81, 062347 – Published 29 June 2010

Abstract

We propose a detailed study of the geometric entanglement properties of pure symmetric N-qubit states, focusing more particularly on the identification of symmetric states with a high geometric entanglement and how their entanglement behaves asymptotically for large N. We show that much higher geometric entanglement with improved asymptotical behavior can be obtained in comparison with the highly entangled balanced Dicke states studied previously. We also derive an upper bound for the geometric measure of entanglement of symmetric states. The connection with the quantumness of a state is discussed.

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  • Received 5 March 2010

DOI:https://doi.org/10.1103/PhysRevA.81.062347

©2010 American Physical Society

Authors & Affiliations

J. Martin1, O. Giraud2,3,4,5, P. A. Braun6,7, D. Braun2,3, and T. Bastin1

  • 1Institut de Physique Nucléaire, Atomique et de Spectroscopie, Université de Liège, B-4000 Liège, Belgium
  • 2Université de Toulouse, UPS, Laboratoire de Physique Théorique (IRSAMC), F-31062 Toulouse, France
  • 3CNRS, LPT (IRSAMC), F-31062 Toulouse, France
  • 4Université Paris-Sud, LPTMS, UMR8626, Bât. 100, Université Paris-Sud, F-91405 Orsay, France
  • 5CNRS, LPTMS, UMR8626, Bât. 100, Université Paris-Sud, F-91405 Orsay, France
  • 6Fachbereich Physik, Universität Duisburg–Essen, D-47048 Duisburg, Germany
  • 7Institute of Physics, Saint-Petersburg University, 198504 Saint-Petersburg, Russia

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Issue

Vol. 81, Iss. 6 — June 2010

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