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| HAL : hal-00199955, version 1 |
| arXiv : 0712.3417 |
| Fiche détaillée |  Récupérer au format |
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| Repeated Quantum Interactions and Unitary Random Walks |
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| Stéphane Attal 1Ameur Dhahri 2 |
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| (20/12/2007) |
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| Among the discrete evolution equations describing a quantum system $\rH_S$ undergoing repeated quantum interactions with a chain of exterior systems, we study and characterize those which are directed by classical random variables in $\RR^N$. The characterization we obtain is entirely algebraical in terms of the unitary operator driving the elementary interaction. We show that the solutions of these equations are then random walks on the group $U(\rH_0)$ of unitary operators on $\rH_0$. |
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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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| 2 : | CEntre de REcherches en MAthématiques de la DEcision (CEREMADE) |
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CNRS : UMR7534 – Université Paris IX - Paris Dauphine |
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| Domaine | : | Mathématiques/Physique mathématique Mathématiques/Probabilités |
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| hal-00199955, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00199955 | |
| oai:hal.archives-ouvertes.fr:hal-00199955 | |
| Contributeur : Stéphane Attal | |
| Soumis le : Jeudi 20 Décembre 2007, 09:19:58 | |
| Dernière modification le : Jeudi 20 Décembre 2007, 14:47:07 | |
