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@ARTICLE{Dobrynin:1038566,
      author       = {Dobrynin, Dmitrii and Cardarelli, Lorenzo and Müller,
                      Markus and Bermudez, Alejandro},
      title        = {{C}ompressed-sensing {L}indbladian quantum tomography with
                      trapped ions},
      reportid     = {FZJ-2025-01549, arXiv:2403.07462},
      year         = {2025},
      abstract     = {Characterizing the dynamics of quantum systems is a central
                      task for the development of quantum information processors
                      (QIPs). It serves to benchmark different devices, learn
                      about their specific noise, and plan the next hardware
                      upgrades. However, this task is also very challenging, for
                      it requires a large number of measurements and
                      time-consuming classical processing. Moreover, when
                      interested in the time dependence of the noise, there is an
                      additional overhead since the characterization must be
                      performed repeatedly within the time interval of interest.
                      To overcome this limitation while, at the same time,
                      ordering the learned sources of noise by their relevance, we
                      focus on the inference of the dynamical generators of the
                      noisy dynamics using Lindbladian quantum tomography (LQT).
                      We propose two different improvements of LQT that alleviate
                      previous shortcomings. In the weak-noise regime of current
                      QIPs, we manage to linearize the maximum likelihood
                      estimation of LQT, turning the constrained optimization into
                      a convex problem to reduce the classical computation cost
                      and to improve its robustness. Moreover, by introducing
                      compressed sensing techniques, we reduce the number of
                      required measurements without sacrificing accuracy. To
                      illustrate these improvements, we apply our LQT tools to
                      trapped-ion experiments of single- and two-qubit gates,
                      advancing in this way the previous state of the art.},
      cin          = {PGI-2},
      cid          = {I:(DE-Juel1)PGI-2-20110106},
      pnm          = {5221 - Advanced Solid-State Qubits and Qubit Systems
                      (POF4-522)},
      pid          = {G:(DE-HGF)POF4-5221},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2403.07462},
      howpublished = {arXiv:2403.07462},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2403.07462;\%\%$},
      url          = {https://juser.fz-juelich.de/record/1038566},
}