A quantum Langevin formulation of risk-sensitive optimal control

M. R. James*

*Corresponding author for this work

    Research output: Contribution to journalReview articlepeer-review

    46 Citations (Scopus)

    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.

    Original languageEnglish
    Pages (from-to)S198-S207
    JournalJournal of Optics B: Quantum and Semiclassical Optics
    Volume7
    Issue number10
    DOIs
    Publication statusPublished - 1 Oct 2005

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