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  • Optimal Unravellings for Feedback Control in Linear Quantum Systems

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    Author(s)
    Wiseman, HM
    Doherty, AC
    Griffith University Author(s)
    Wiseman, Howard M.
    Year published
    2005
    Metadata
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    Abstract
    For quantum systems with linear dynamics in phase space much of classical feedback control theory applies. However, there are some questions that are sensible only for the quantum case: Given a fixed interaction between the system and the environment what is the optimal measurement on the environment for a particular control problem? We show that for a broad class of optimal (state-based) control problems (the stationary linear-quadratic-Gaussian class), this question is a semidefinite program. Moreover, the answer also applies to Markovian (current-based) feedback.For quantum systems with linear dynamics in phase space much of classical feedback control theory applies. However, there are some questions that are sensible only for the quantum case: Given a fixed interaction between the system and the environment what is the optimal measurement on the environment for a particular control problem? We show that for a broad class of optimal (state-based) control problems (the stationary linear-quadratic-Gaussian class), this question is a semidefinite program. Moreover, the answer also applies to Markovian (current-based) feedback.
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    Journal Title
    Physical Review Letters
    Volume
    94
    Publisher URI
    http://prl.aps.org/
    DOI
    https://doi.org/10.1103/PhysRevLett.94.070405
    Copyright Statement
    © 2005 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
    Subject
    Mathematical sciences
    Physical sciences
    Engineering
    Publication URI
    http://hdl.handle.net/10072/4930
    Collection
    • Journal articles

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