Multiqubit symmetric states with high geometric entanglement

J. Martin 1, Olivier Giraud 2, 3, P. A. Braun 4, 5, Daniel Braun 2, T. Bastin 6

Physical review A: Atomic, Molecular and Optical Physics 81 (2010) 062347

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.

  • 1. Institut de Physique Nucléaire, Atomique et de Spectrométrie,
    Université de Liège
  • 2. Laboratoire de Physique Théorique - IRSAMC (LPT),
    CNRS : UMR5152 – Université Paul Sabatier - Toulouse III
  • 3. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud
  • 4. Fachbereich Physik,
    Univestität Duisbourg-Essen
  • 5. Institute of Physik,
    Saint Petersbourg University
  • 6. Institut de Physique Nucléaire, Atomique et de Spectrométrie,
    Université de Liège