Hamilton–Jacobi–Bellman equations for quantum optimal feedback control

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dc.contributor.author Gough, John E.
dc.contributor.author Belavkin, V. P.
dc.contributor.author Smolianov, O. G.
dc.date.accessioned 2008-12-05T11:23:07Z
dc.date.available 2008-12-05T11:23:07Z
dc.date.issued 2005
dc.identifier.citation Gough , J E , Belavkin , V P & Smolianov , O G 2005 , ' Hamilton–Jacobi–Bellman equations for quantum optimal feedback control ' Journal of Optics B: Quantum and Semiclassical Optics , vol 7 , no. 10 , S237 . en
dc.identifier.issn 1741-3575
dc.identifier.other PURE: 88781
dc.identifier.other dspace: 2160/1414
dc.identifier.uri http://hdl.handle.net/2160/1414
dc.description Gough, John; Belavkin, V.P.; Smolianov, O.G., (2005) 'Hamilton–Jacobi–Bellman equations for quantum optimal feedback control', Journal of Optics B: Quantum and Semiclassical Optics 7 pp.S237-S244 RAE2008 en
dc.description.abstract We exploit the separation of the filtering and control aspects of quantum feedback control to consider the optimal control as a classical stochastic problem on the space of quantum states. We derive the corresponding Hamilton–Jacobi–Bellman equations using the elementary arguments of classical control theory and show that this is equivalent, in the Stratonovich calculus, to a stochastic Hamilton–Pontryagin set-up. We show that, for cost functionals that are linear in the state, the theory yields the traditional Bellman equations treated so far in quantum feedback. A controlled qubit with a feedback is considered as example. en
dc.language.iso eng
dc.relation.ispartof Journal of Optics B: Quantum and Semiclassical Optics en
dc.title Hamilton–Jacobi–Bellman equations for quantum optimal feedback control en
dc.type Text en
dc.type.publicationtype Article (Journal) en
dc.identifier.doi http://dx.doi.org/10.1088/1464-4266/7/10/006
dc.contributor.institution Institute of Mathematics & Physics (ADT) en
dc.contributor.institution Mathematics and Physics en
dc.description.status Peer reviewed en


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