Non-Gaussianity and purity in finite dimension
Quantum Physics
2009-08-25 v2
Abstract
We address truncated states of continuous variable systems and analyze their statistical properties numerically by generating random states in finite-dimensional Hilbert spaces. In particular, we focus to the distribution of purity and non-Gaussianity for dimension up to d=21. We found that both quantities are distributed around typical values with variances that decrease for increasing dimension. Approximate formulas for typical purity and non-Gaussianity as a function of the dimension are derived.
Keywords
Cite
@article{arxiv.0805.1639,
title = {Non-Gaussianity and purity in finite dimension},
author = {Marco G. Genoni and Matteo G. A. Paris},
journal= {arXiv preprint arXiv:0805.1639},
year = {2009}
}
Comments
7 pages, 4 figures