Reference : Entanglement of localized states
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/2268/30512
Entanglement of localized states
English
Giraud, O. [Laboratoire de Physique Théorique, Université Toulouse III, CNRS, 31062 Toulouse, France]
Martin, John mailto [Université de Liège - ULg > Département de physique > Physique des atomes froids >]
Georgeot, B. [Laboratoire de Physique Théorique, Université Toulouse III, CNRS, 31062 Toulouse, France]
2007
Physical Review. A
76
42333
Yes
International
1050-2947
[en] We derive exact expressions for the mean value of Meyer-Wallach entanglement Q for localized random vectors drawn from various ensembles corresponding to different physical situations. For vectors localized on a randomly chosen subset of the basis, <Q> tends for large system sizes to a constant which depends on the participation ratio, whereas for vectors localized on adjacent basis states it goes to zero as a constant over the number of qubits. Applications to many-body systems and Anderson localization are discussed.
http://hdl.handle.net/2268/30512
10.1103/PhysRevA.76.042333
http://link.aps.org/doi/10.1103/PhysRevA.76.042333
http://de.arxiv.org/abs/0704.2765

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