M R James 2005 J. Opt. B: Quantum Semiclass. Opt. 7 S198 doi:10.1088/1464-4266/7/10/002
A quantum Langevin formulation of risk-sensitive optimal control
M R James
Show affiliationsIn 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.
- PACS
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03.65.Yz Decoherence; open systems; quantum statistical methods
- Subjects
- Dates
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Issue 10 (October 2005)
Received 20 December 2004, accepted for publication 6 April 2005
Published 14 September 2005
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A quantum Langevin formulation of risk-sensitive optimal control
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