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| HAL : hal-00199951, version 1 |
| arXiv : 0712.3418 |
| Fiche détaillée |  Récupérer au format |
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| Statistical properties of Pauli matrices going through noisy channels |
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| Stéphane Attal 1Nadine Guillotin-Plantard 1 |
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| (20/12/2007) |
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| We study the statistical properties of the triplet $(\sigma_x,\sigma_y,\sigma_z)$ of Pauli matrices going through a sequence of noisy channels, modeled by the repetition of a general, trace-preserving, completely positive map. We show a non-commutative central limit theorem for the distribution of this triplet, which shows up a 3-dimensional Brownian motion in the limit with a non-trivial covariance matrix. We also prove a large deviation principle associated to this convergence, with an explicit rate function depending on the stationary state of the noisy channel. |
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| 1 : | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
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| Domaine | : | Mathématiques/Physique mathématique Mathématiques/Probabilités |
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| hal-00199951, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00199951 | |
| oai:hal.archives-ouvertes.fr:hal-00199951 | |
| Contributeur : Stéphane Attal | |
| Soumis le : Jeudi 20 Décembre 2007, 09:15:36 | |
| Dernière modification le : Jeudi 20 Décembre 2007, 14:48:14 | |
