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@ARTICLE{Funcke:457860,
      author       = {Funcke, Lena and Hartung, Tobias and Jansen, Karl and
                      Kuehn, Stefan and Stornati, Paolo and Wang, Xiaoyang},
      title        = {{M}easurement {E}rror {M}itigation in {Q}uantum {C}omputers
                      {T}hrough {C}lassical {B}it-{F}lip {C}orrection},
      reportid     = {PUBDB-2021-02146, arXiv:2007.03663. HU-EP-20/15.
                      DESY-20-147},
      pages        = {1-31},
      year         = {2020},
      note         = {31 pages, 13 figures},
      abstract     = {We develop a classical bit-flip correction method to
                      mitigate measurement errors on quantum computers. This
                      method can be applied to any operator, any number of qubits,
                      and any realistic bit-flip probability. We first demonstrate
                      the successful performance of this method by correcting the
                      noisy measurements of the ground-state energy of the
                      longitudinal Ising model. We then generalize our results to
                      arbitrary operators and test our method both numerically and
                      experimentally on IBM quantum hardware. As a result, our
                      correction method reduces the measurement error on the
                      quantum hardware by up to one order of magnitude. We finally
                      discuss how to pre-process the method and extend it to other
                      errors sources beyond measurement errors. For local
                      Hamiltonians, the overhead costs are polynomial in the
                      number of qubits, even if multi-qubit correlations are
                      included.},
      keywords     = {computer: quantum (INSPIRE) / hardware (INSPIRE) /
                      performance (INSPIRE) / Ising model (INSPIRE) / qubit
                      (INSPIRE) / correction: error (INSPIRE)},
      cin          = {ZEU-NIC},
      cid          = {I:(DE-H253)ZEU-NIC-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611)},
      pid          = {G:(DE-HGF)POF4-611},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2007.03663},
      howpublished = {arXiv:2007.03663},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2007.03663;\%\%$},
      doi          = {10.3204/PUBDB-2021-02146},
      url          = {https://bib-pubdb1.desy.de/record/457860},
}