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@ARTICLE{Mehl:139683,
      author       = {Mehl, Sebastian and DiVincenzo, David},
      title        = {{N}oise analysis of qubits implemented in triple quantum
                      dot systems in a {D}avies master equation approach},
      journal      = {Physical review / B},
      volume       = {87},
      number       = {19},
      issn         = {1098-0121},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {FZJ-2013-05657},
      pages        = {195309},
      year         = {2013},
      note         = {30 pages, 18 figures},
      abstract     = {We analyze the influence of noise for qubits implemented
                      using a triple quantum dot spin system. We give a detailed
                      description of the physical realization and develop error
                      models for the dominant external noise sources. We use a
                      Davies master equation approach to describe their influence
                      on the qubit. The triple dot system contains two meaningful
                      realizations of a qubit: We consider a subspace and a
                      subsystem of the full Hilbert space to implement the qubit.
                      We test the robustness of these two implementations with
                      respect to the qubit stability. When performing the noise
                      analysis, we extract the initial time evolution of the qubit
                      using a Nakajima-Zwanzig approach. We find that the initial
                      time evolution, which is essential for qubit applications,
                      decouples from the long time dynamics of the system. We
                      extract probabilities for the qubit errors of dephasing,
                      relaxation and leakage. Using the Davies model to describe
                      the environment simplifies the noise analysis. It allows us
                      to construct simple toy models, which closely describe the
                      error probabilities.},
      cin          = {PGI-2 / IAS-3},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-2-20110106 / I:(DE-Juel1)IAS-3-20090406},
      pnm          = {422 - Spin-based and quantum information (POF2-422)},
      pid          = {G:(DE-HGF)POF2-422},
      typ          = {PUB:(DE-HGF)16},
      eprint       = {1211.0417},
      howpublished = {arXiv:1211.0417},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1211.0417;\%\%$},
      UT           = {WOS:000319252200005},
      doi          = {10.1103/PhysRevB.87.195309},
      url          = {https://juser.fz-juelich.de/record/139683},
}