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  • Quantum State Smoothing for Linear Gaussian Systems

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    Laverick158393-Accepted.pdf (905.7Kb)
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    Accepted Manuscript (AM)
    Author(s)
    Laverick, Kiarn T
    Chantasri, Areeya
    Wiseman, Howard M
    Griffith University Author(s)
    Chantasri, Areeya
    Laverick, Kiarn T.
    Wiseman, Howard M.
    Year published
    2019
    Metadata
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    Abstract
    Quantum state smoothing is a technique for assigning a valid quantum state to a partially observed dynamical system, using measurement records both prior and posterior to an estimation time. We show that the technique is greatly simplified for linear Gaussian quantum systems, which have wide physical applicability. We derive a closed-form solution for the quantum smoothed state, which is more pure than the standard filtered state, while still being described by a physical quantum state, unlike other proposed quantum smoothing techniques. We apply the theory to an on-threshold optical parametric oscillator, exploring optimal ...
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    Quantum state smoothing is a technique for assigning a valid quantum state to a partially observed dynamical system, using measurement records both prior and posterior to an estimation time. We show that the technique is greatly simplified for linear Gaussian quantum systems, which have wide physical applicability. We derive a closed-form solution for the quantum smoothed state, which is more pure than the standard filtered state, while still being described by a physical quantum state, unlike other proposed quantum smoothing techniques. We apply the theory to an on-threshold optical parametric oscillator, exploring optimal conditions for purity recovery by smoothing. The role of quantum efficiency is elucidated, in both low and high efficiency limits.
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    Journal Title
    Physical Review Letters
    Volume
    122
    Issue
    19
    DOI
    https://doi.org/10.1103/PhysRevLett.122.190402
    Copyright Statement
    © 2019 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/10072/385426
    Collection
    • Journal articles

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