An introduction to quantum filtering

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dc.creatorBouten, Luc
dc.creatorvan Handel, Ramon
dc.creatorJames, Matthew
dc.date2006-01-30
dc.date.accessioned2026-07-07T08:50:57Z
dc.date.available2026-07-07T08:50:57Z
dc.descriptionThis paper provides an introduction to quantum filtering theory. An introduction to quantum probability theory is given, focusing on the spectral theorem and the conditional expectation as a least squares estimate, and culminating in the construction of Wiener and Poisson processes on the Fock space. We describe the quantum Itô calculus and its use in the modelling of physical systems. We use both reference probability and innovations methods to obtain quantum filtering equations for system-probe models from quantum optics.
dc.description41 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0601741
dc.identifierhttp://arxiv.org/abs/math/0601741
dc.identifierSIAM J. Control Optim. 46, 2199-2241, 2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144775
dc.subjectOptimization and Control
dc.subjectMathematical Physics
dc.subjectProbability
dc.subjectQuantum Physics
dc.subject93E11; 81P15; 81S25; 81Q10; 81R15; 34F05
dc.titleAn introduction to quantum filtering
dc.typetext

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