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    Efficient reverse engineering of one-qubit filter functions with dynamical invariants

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    2204.08457.pdf (603.4Kb)
    Links to Files
    https://arxiv.org/abs/2204.08457
    Permanent Link
    https://doi.org/10.48550/arXiv.2204.08457
    http://hdl.handle.net/11603/25026
    Collections
    • UMBC Faculty Collection
    • UMBC Physics Department
    • UMBC Student Collection
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    Author/Creator
    Colmenar, R. K. L.
    Kestner, J. P.
    Type of Work
    11 pages
    Text
    journal articles
    preprints
    Rights
    This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
    Abstract
    We derive an integral expression for the filter-transfer function of an arbitrary one-qubit gate through the use of dynamical invariant theory and Hamiltonian reverse engineering. We use this result to define a cost functional which can be efficiently optimized to produce one-qubit control pulses that are robust against specified frequency bands of the noise power spectral density. We demonstrate the utility of our result by generating optimal control pulses that are designed to suppress broadband detuning and pulse amplitude noise. We report an order of magnitude improvement in gate fidelity in comparison with known composite pulse sequences. More broadly, we also use the same theoretical framework to prove the robustness of nonadiabatic geometric quantum gates under specific error models and control constraints.


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    www.umbc.edu/scholarworks

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    Albin O. Kuhn Library & Gallery
    University of Maryland, Baltimore County
    1000 Hilltop Circle
    Baltimore, MD 21250
    www.umbc.edu/scholarworks

    Contact information:
    Email: scholarworks-group@umbc.edu
    Phone: 410-455-3021


    If you wish to submit a copyright complaint or withdrawal request, please email mdsoar-help@umd.edu.