Repeated Quantum Interactions and Unitary Random Walks

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dc.creatorAttal, Stéphane
dc.creatorDhahri, Ameur
dc.date2007-12-20
dc.date.accessioned2026-07-07T08:50:36Z
dc.date.available2026-07-07T08:50:36Z
dc.descriptionAmong 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 $\rH_0$.
dc.identifierhttps://arxiv.org/abs/0712.3417
dc.identifierhttp://arxiv.org/abs/0712.3417
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144657
dc.subjectMathematical Physics
dc.subjectProbability
dc.titleRepeated Quantum Interactions and Unitary Random Walks
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