Fundamental thresholds of realistic quantum error correction circuits from classical spin models
Davide Vodola (INFN Sezione di Bologna, University of Bologna)
M.R.R. Rispler (TU Delft - QuTech Advanced Research Centre, TU Delft - QCD/Terhal Group)
Seyong Kim (Sejong University)
Markus Müller (RWTH Aachen University, Forschungszentrum Jülich)
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Abstract
Mapping the decoding of quantum error correcting (QEC) codes to classical disordered statistical mechanics models allows one to determine critical error thresholds of QEC codes under phenomenological noise models. Here, we extend this mapping to admit realistic, multi-parameter noise models of faulty QEC circuits, derive the associated strongly correlated classical spin models, and illustrate this approach for a quantum repetition code with faulty stabilizer readout circuits. We use Monte-Carlo simulations to study the resulting phase diagram and benchmark our results against a minimum-weight perfect matching decoder. The presented method provides an avenue to assess fundamental thresholds of QEC circuits, independent of specific decoding strategies, and can thereby help guiding the development of near-term QEC hardware.
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