A quantum Langevin formulation of risk-sensitive optimal control
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In this paper we formulate a risk-sensitive optimal control problem for continuously monitored open quantum systems modelled by quantum Langevin equations. The optimal controller is expressed in terms of a modified conditional state, which we call a risk-sensitive state, that represents measurement knowledge tempered by the control purpose. One of the two components of the optimal controller is dynamic, a filter that computes the risk-sensitive state. The second component is an optimal control...[Show more]
dc.contributor.author | James, Matthew | |
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dc.date.accessioned | 2015-12-13T22:51:56Z | |
dc.identifier.issn | 1464-4266 | |
dc.identifier.uri | http://hdl.handle.net/1885/81319 | |
dc.description.abstract | In this paper we formulate a risk-sensitive optimal control problem for continuously monitored open quantum systems modelled by quantum Langevin equations. The optimal controller is expressed in terms of a modified conditional state, which we call a risk-sensitive state, that represents measurement knowledge tempered by the control purpose. One of the two components of the optimal controller is dynamic, a filter that computes the risk-sensitive state. The second component is an optimal control feedback function that is found by solving the dynamic programming equation. The optimal controller can be implemented using classical electronics. The ideas are illustrated using an example of feedback control of a two-level atom. | |
dc.publisher | Institute of Physics Publishing | |
dc.source | Journal of Optics B: Quantum and Semiclassical Optics | |
dc.subject | Keywords: Control equipment; Dynamic programming; Feedback control; Filtration; Quantum optics; Optimal control; Quantum filtering; Quantum Langevin equations; Quantum stochastic calculus; Optimal control systems Optimal control; Quantum filtering; Quantum Langevin equation; Quantum stochastic calculus | |
dc.title | A quantum Langevin formulation of risk-sensitive optimal control | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.description.refereed | Yes | |
local.identifier.citationvolume | 7 | |
dc.date.issued | 2005 | |
local.identifier.absfor | 010203 - Calculus of Variations, Systems Theory and Control Theory | |
local.identifier.absfor | 010501 - Algebraic Structures in Mathematical Physics | |
local.identifier.ariespublication | MigratedxPub9635 | |
local.type.status | Published Version | |
local.contributor.affiliation | James, Matthew, College of Engineering and Computer Science, ANU | |
local.description.embargo | 2037-12-31 | |
local.bibliographicCitation.issue | 10 | |
local.bibliographicCitation.startpage | S198 | |
local.bibliographicCitation.lastpage | S207 | |
local.identifier.doi | 10.1088/1464-4266/7/10/002 | |
dc.date.updated | 2015-12-11T10:48:00Z | |
local.identifier.scopusID | 2-s2.0-25644439873 | |
Collections | ANU Research Publications |
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