Entanglement of localized states

Details Entanglement of localized states Entanglement of localized states

2007-04-20

arxiv.org/abs/0704.2765v2

Phys. Rev. A 76, 042333 (2007)

Physics

Quantum Physics

6 pages, 4 figures

Scientific paper

10.1103/PhysRevA.76.042333

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, 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.

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