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arXiv · 0805.1639

Non-Gaussianity and purity in finite dimension

Marco G. Genoni·Matteo G. A. Paris
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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.

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Marco G. Genoni, Matteo G. A. Paris. 2008-11-09. Non-Gaussianity and purity in finite dimension. https://arxiv.org/abs/0805.1639

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