Nonparametric goodness-of fit testing in quantum homodyne tomography with noisy data

Abstract : In the framework of quantum optics, we study the problem of goodness-of-fit testing in a severely ill-posed inverse problem. A novel testing procedure is introduced and its rates of convergence are investigated under various smoothness assumptions. The procedure is derived from a projection-type estimator, where the projection is done in $\mathbb{L}_2$ distance on some suitably chosen pattern functions. The proposed methodology is illustrated with simulated data sets.
Type de document :
Pré-publication, Document de travail
2008
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https://hal.archives-ouvertes.fr/hal-00311975
Contributeur : Katia Méziani <>
Soumis le : samedi 23 août 2008 - 12:39:04
Dernière modification le : lundi 29 mai 2017 - 14:26:59
Document(s) archivé(s) le : jeudi 3 juin 2010 - 18:46:49

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  • HAL Id : hal-00311975, version 1
  • ARXIV : 0808.3194

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PMA | INSMI | UPMC | USPC

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Katia Méziani. Nonparametric goodness-of fit testing in quantum homodyne tomography with noisy data. 2008. <hal-00311975>

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