Multiqubit symmetric states with high geometric entanglement

J. Martin, O. Giraud, P. A. Braun, D. Braun, T. Bastin
2010 Physical Review A. Atomic, Molecular, and Optical Physics  
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
more » ... measure of entanglement of symmetric states. The connection with the quantumness of a state is discussed.
doi:10.1103/physreva.81.062347 fatcat:airgbapnfjf4ditgj6pp4bevsa