Entanglement Sharing and Decoherence in the Spin-Bath
Abstract
The monogamous nature of entanglement has been illustrated by the derivation of entanglement sharing inequalities - bounds on the amount of entanglement that can be shared amongst the various parts of a multipartite system. Motivated by recent studies of decoherence, we demonstrate an interesting manifestation of this phenomena that arises in system-environment models where there exists interactions between the modes or subsystems of the environment. We investigate this phenomena in the spin-bath environment, constructing an entanglement sharing inequality bounding the entanglement between a central spin and the environment in terms of the pairwise entanglement between individual bath spins. The relation of this result to decoherence will be illustrated using simplified system-bath models of decoherence.
Cite
@article{arxiv.quant-ph/0407206,
title = {Entanglement Sharing and Decoherence in the Spin-Bath},
author = {Christopher M. Dawson and Andrew P. Hines and Ross H. McKenzie and G. J. Milburn},
journal= {arXiv preprint arXiv:quant-ph/0407206},
year = {2009}
}
Comments
5 pages, 1 figure v2: 6 pages 2 figures, additional example and references