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@ARTICLE{Colmenarez:1038571,
      author       = {Colmenarez, Luis and Huang, Ze-Min and Diehl, Sebastian and
                      Müller, Markus},
      title        = {{A}ccurate optimal quantum error correction thresholds from
                      coherent information},
      journal      = {Physical review research},
      volume       = {6},
      number       = {4},
      issn         = {2643-1564},
      address      = {College Park, MD},
      publisher    = {APS},
      reportid     = {FZJ-2025-01554, arXiv:2312.06664},
      pages        = {L042014},
      year         = {2024},
      note         = {9 pages, 9 figures},
      abstract     = {Quantum error correcting (QEC) codes protect quantum
                      information from decoherence, as long as error rates fall
                      below critical error thresholds. In general, obtaining
                      thresholds implies simulating the QEC procedure using, in
                      general, sub-optimal decoding strategies. In a few cases and
                      for sufficiently simple noise models, optimal decoding of
                      QEC codes can be framed as a phase transition in disordered
                      classical spin models. In both situations, accurate
                      estimation of thresholds demands intensive computational
                      resources. Here we use the coherent information of the mixed
                      state of noisy QEC codes to accurately estimate the
                      associated optimal QEC thresholds already from
                      small-distance codes at moderate computational cost. We show
                      the effectiveness and versatility of our method by applying
                      it first to the topological surface and color code under
                      bit-flip and depolarizing noise. We then extend the coherent
                      information based methodology to phenomenological and
                      quantum circuit level noise settings. For all examples
                      considered we obtain highly accurate estimates of optimal
                      error thresholds from small, low-distance instances of the
                      codes, in close accordance with threshold values reported in
                      the literature. Our findings establish the coherent
                      information as a reliable competitive practical tool for the
                      calculation of optimal thresholds of state-of-the-art QEC
                      codes under realistic noise models.},
      cin          = {PGI-2},
      ddc          = {530},
      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       = {2312.06664},
      howpublished = {arXiv:2312.06664},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2312.06664;\%\%$},
      doi          = {10.1103/PhysRevResearch.6.L042014},
      url          = {https://juser.fz-juelich.de/record/1038571},
}