Hamilton-Jacobi-Bellman equations for Quantum Filtering and Control

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dc.creatorGough, J.
dc.creatorBelavkin, V. P.
dc.creatorSmolyanov, O. G.
dc.date2005-02-24
dc.date2005-03-09
dc.date.accessioned2026-07-07T06:12:13Z
dc.date.available2026-07-07T06:12:13Z
dc.descriptionWe 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 setup. 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.
dc.description14 pages, no figures (modified notation)
dc.identifierhttps://arxiv.org/abs/quant-ph/0502155
dc.identifierhttp://arxiv.org/abs/quant-ph/0502155
dc.identifierJ. Opt. B: Quantum Semiclass. Opt. 7 S237-S244 (2005)
dc.identifierdoi:10.1088/1464-4266/7/10/006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92723
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleHamilton-Jacobi-Bellman equations for Quantum Filtering and Control
dc.typetext

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