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@ARTICLE{Gherardini:904647,
      author       = {Gherardini, Stefano and Müller, Matthias and Montangero,
                      Simone and Calarco, Tommaso and Caruso, Filippo},
      title        = {{I}nformation flow and error scaling for fully-quantum
                      control},
      reportid     = {FZJ-2021-06216},
      year         = {2020},
      note         = {9 pages, 4 figures},
      abstract     = {The optimally designed control of quantum systems is
                      playing an increasingly important role to engineer novel and
                      more efficient quantum technologies. Here, in the scenario
                      represented by controlling an arbitrary quantum system via
                      the interaction with an another optimally initialized
                      auxiliary quantum system, we show that the quantum channel
                      capacity sets the scaling behaviour of the optimal control
                      error. Specifically, we prove that the minimum control error
                      is ensured by maximizing the quantum capacity of the channel
                      mapping the initial control state into the target state of
                      the controlled system, i.e., optimizing the quantum
                      information flow from the controller to the system to be
                      controlled. Analytical results, supported by numerical
                      evidences, are provided when the systems and the controller
                      are either qubits or single Bosonic modes and can be applied
                      to a very large class of platforms for controllable quantum
                      devices.},
      cin          = {PGI-8},
      cid          = {I:(DE-Juel1)PGI-8-20190808},
      pnm          = {5221 - Advanced Solid-State Qubits and Qubit Systems
                      (POF4-522)},
      pid          = {G:(DE-HGF)POF4-5221},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2012.06234},
      howpublished = {arXiv:2012.06234},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2012.06234;\%\%$},
      url          = {https://juser.fz-juelich.de/record/904647},
}