A quantum Langevin formulation of risk-sensitive optimal control
Date
2005
Authors
James, Matthew
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Institute of Physics Publishing
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.
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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
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Journal of Optics B: Quantum and Semiclassical Optics
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Journal article
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2037-12-31
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