Mediated Entanglement And Correlations In A Star Network Of Interacting Spins

Preprint

16 August 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/0208114

Abstract

We investigate analytically a star network of spins, in which all spins interact exclusively with a central spin through Heisenberg XX couplings of equal strength. We find that the central spin correlates and entangles the other spins at zero temperature to a degree that depends on the total number of spins. Surprisingly, the entanglement depends on the evenness or oddness of this number and some correlations are substantial even for an infinite collection of spins. We show how symmetric multi-party states for optimal sharing and splitting of entanglement can be obtained in this system using a magnetic field.

Keywords

ENTANGLEMENT AND CORRELATIONS
MEDIATED ENTANGLEMENT
INTERACTING SPINS
CENTRAL SPIN
STAR NETWORK
TEMPERATURE
MULTI PARTY
SPINS

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Version 1, 2002-08-16, ArXiv

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