Multiqubit symmetric states with high geometric entanglement

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.062347· OSTI ID:21437873

Martin, J; Bastin, T ^[1]; Giraud, O ^[2]; Braun, P A ^[3]; Braun, D ^[2]

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1. Institut de Physique Nucleaire, Atomique et de Spectroscopie, Universite de Liege, B-4000 Liege (Belgium)
2. Universite de Toulouse, UPS, Laboratoire de Physique Theorique (IRSAMC), F-31062 Toulouse (France)
3. Fachbereich Physik, Universitaet Duisburg-Essen, D-47048 Duisburg (Germany)

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.

• OSTI ID: 21437873
• Journal Information: Physical Review. A, Vol. 81, Issue 6; Other Information: DOI: 10.1103/PhysRevA.81.062347; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COMPARATIVE EVALUATIONS
ENERGY LEVELS
GEOMETRY
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
QUANTUM NUMBERS
QUBITS
SYMMETRY
EVALUATION
INFORMATION
MATHEMATICS
MECHANICS
QUANTUM INFORMATION