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  • Rapid estimation of drifting parameters in continuously measured quantum systems

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    CortezPUB2358.pdf (2.140Mb)
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    Accepted Manuscript (AM)
    Author(s)
    Cortez, Luis
    Chantasri, Areeya
    García-Pintos, Luis Pedro
    Dressel, Justin
    Jordan, Andrew N.
    Griffith University Author(s)
    Chantasri, Areeya
    Year published
    2017
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    Abstract
    We investigate the determination of a Hamiltonian parameter in a quantum system undergoing continuous measurement. We demonstrate a computationally rapid method to estimate an unknown and possibly time-dependent parameter, where we maximize the likelihood of the observed stochastic readout. By dealing directly with the raw measurement record rather than the quantum-state trajectories, the estimation can be performed while the data are being acquired, permitting continuous tracking of the parameter during slow drifts in real time. Furthermore, we incorporate realistic nonidealities, such as decoherence processes and measurement ...
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    We investigate the determination of a Hamiltonian parameter in a quantum system undergoing continuous measurement. We demonstrate a computationally rapid method to estimate an unknown and possibly time-dependent parameter, where we maximize the likelihood of the observed stochastic readout. By dealing directly with the raw measurement record rather than the quantum-state trajectories, the estimation can be performed while the data are being acquired, permitting continuous tracking of the parameter during slow drifts in real time. Furthermore, we incorporate realistic nonidealities, such as decoherence processes and measurement inefficiency. As an example, we focus on estimating the value of the Rabi frequency of a continuously measured qubit and compare maximum likelihood estimation to a simpler fast Fourier transform. Using this example, we discuss how the quality of the estimation depends on both the strength and the duration of the measurement; we also discuss the trade-off between the accuracy of the estimate and the sensitivity to drift as the estimation duration is varied.
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    Journal Title
    Physical Review A
    Volume
    95
    Issue
    1
    DOI
    https://doi.org/10.1103/PhysRevA.95.012314
    Copyright Statement
    © 2017 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
    Quantum Information, Computation and Communication
    Publication URI
    http://hdl.handle.net/10072/347933
    Collection
    • Journal articles

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