We evaluate a Gaussian distance-type degree of nonclassicality for a single-mode Gaussian state of the quantum radiation field by use of the recently discovered quantum Chernoff bound. The general properties of the quantum Chernoff overlap and its relation to the Uhlmann fidelity are interestingly illustrated by our approach.
@article{arxiv.0806.1892,
title = {Quantum Chernoff bound as a measure of nonclassicality for one-mode Gaussian states},
author = {Madalina Boca and Iulia Ghiu and Paulina Marian and Tudor A. Marian},
journal= {arXiv preprint arXiv:0806.1892},
year = {2009}
}