Non-Gaussianity and purity in finite dimension

Details Non-Gaussianity and purity in finite dimension Non-Gaussianity and purity in finite dimension

2008-05-12

arxiv.org/abs/0805.1639v2

Int. J. Quant. Inf. 7, 97 (2009)

Physics

Quantum Physics

7 pages, 4 figures

Scientific paper

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.

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