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Entanglement Theory Quantum Correlations

Dimensionality induced entanglement in macroscopic dimer systems

arXiv
Authors: Dagomir Kaszlikowski, Wonmin Son, Vlatko Vedral

Year

2007

Paper ID

49556

Status

Preprint

Abstract Read

~2 min

Abstract Words

74

Citations

N/A

Abstract

We investigate entanglement properties of mixtures of short-range spin-s dimer coverings in lattices of arbitrary topology and dimension. We show that in one spacial dimension nearest neighbour entanglement exists for any spin s. Surprisingly, in higher spatial dimensions there is a threshold value of spin s below which the nearest neighbour entanglement disappears. The traditional "classical" limit of large spin value corresponds to the highest nearest neighbour entanglement that we quantify using the negativity.

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  • We investigate entanglement properties of mixtures of short-range spin-s dimer coverings in lattices of arbitrary topology and dimension.

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