A.A. Rompokos, F.C. Langbein, E.A. Jonckheere. Information Transfer in Spintronics Networks under Worst Case Uncertain Parameter Errors. IEEE Conf Decision and Control, pp. 5825-5830, 2022. [DOI:10.1109/CDC51059.2022.9993088] [PDF:paper]
A novel quantum landscape optimization with respect to bias field control inputs is developed with the goal of achieving optimal transfer fidelity subject to robustness against bias field, spin couplings and other uncertainties. This objective is achieved by minimization of a convex combination of fidelity error and worst-case perturbation of fidelity error under directional perturbation of uncertain parameters. The novelty is that the end-point perturbations of the parameters are points of a random uniform sampling of the sphere centered at the nominal values of the parameters. This reveals that the previously developed perfect state transfer with zero sensitivity solution keeps high fidelity and robustness under large rather than differential perturbations.
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