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@ARTICLE{Varona:1038565,
      author       = {Varona, Santiago and Müller, Markus and Bermudez,
                      Alejandro},
      title        = {{L}indblad-like quantum tomography for non-{M}arkovian
                      quantum dynamical maps},
      reportid     = {FZJ-2025-01548, arXiv:2403.19799},
      year         = {2025},
      abstract     = {We introduce Lindblad-like quantum tomography (L$\ell$QT)
                      as a quantum characterization technique of time-correlated
                      noise in quantum information processors. This approach
                      enables the estimation of time-local master equations,
                      including their possible negative decay rates, by maximizing
                      a likelihood function subject to dynamical constraints. We
                      discuss L$\ell$QT for the dephasing dynamics of single
                      qubits in detail, which allows for a neat understanding of
                      the importance of including multiple snapshots of the
                      quantum evolution in the likelihood function, and how these
                      need to be distributed in time depending on the noise
                      characteristics. By a detailed comparative study employing
                      both frequentist and Bayesian approaches, we assess the
                      accuracy and precision of L$\ell$QT of a dephasing quantum
                      dynamical map that goes beyond the Lindblad limit, focusing
                      on two different microscopic noise models that can be
                      realised in either trapped-ion or superconducting-circuit
                      architectures. We explore the optimization of the
                      distribution of measurement times to minimize the estimation
                      errors, assessing the superiority of each learning scheme
                      conditioned on the degree of non-Markovinity of the noise,
                      and setting the stage for future experimental designs of
                      non-Markovian quantum tomography.},
      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       = {2403.19799},
      howpublished = {arXiv:2403.19799},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2403.19799;\%\%$},
      url          = {https://juser.fz-juelich.de/record/1038565},
}