Entropy of entanglement and multifractal exponents for random states
Quantum Physics
2009-03-12 v1
Abstract
We relate the entropy of entanglement of ensembles of random vectors to their generalized fractal dimensions. Expanding the von Neumann entropy around its maximum we show that the first order only depends on the participation ratio, while higher orders involve other multifractal exponents. These results can be applied to entanglement behavior near the Anderson transition.
Cite
@article{arxiv.0807.3716,
title = {Entropy of entanglement and multifractal exponents for random states},
author = {Olivier Giraud and John Martin and Bertrand Georgeot},
journal= {arXiv preprint arXiv:0807.3716},
year = {2009}
}
Comments
5 pages, 2 figures