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Article Dans Une Revue Physical Review A : Atomic, molecular, and optical physics [1990-2015] Année : 2007

Entanglement of localized states

Résumé

We derive exact expressions for the mean value of Meyer-Wallach entanglement Q for localized random vectors. For vectors localized on a randomly chosen subset of the basis, the mean 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.

Dates et versions

hal-00143186 , version 1 (24-04-2007)

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Olivier Giraud, John Martin, Bertrand Georgeot. Entanglement of localized states. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2007, 76, pp.042333. ⟨10.1103/PhysRevA.76.042333⟩. ⟨hal-00143186⟩
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