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Non-Gaussianity and purity in finite dimension

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 نشر من قبل Marco Giovanni Genoni
 تاريخ النشر 2008
  مجال البحث فيزياء
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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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