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arXiv · 0704.2765

Entanglement of localized states

O. Giraud·J. Martin·B. Georgeot
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Abstract

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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O. Giraud, J. Martin, B. Georgeot. 2007-04-20. Entanglement of localized states. https://doi.org/10.1103/physreva.76.042333

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