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Surface Code Threshold in the Presence of Correlated Errors

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arxiv 1209.2157 v2 pith:7YKRFMB5 submitted 2012-09-10 quant-ph cond-mat.stat-mechcond-mat.str-el

E. Novais , Eduardo R. Mucciolo This is my paper · ORCID
classification quant-phcond-mat.stat-mechcond-mat.str-el
keywords correlatederrorerrorsthresholdcodemodelpresencestatistical
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We study the fidelity of the surface code in the presence of correlated errors induced by the coupling of physical qubits to a bosonic environment. By mapping the time evolution of the system after one quantum error correction cycle onto a statistical spin model, we show that the existence of an error threshold is related to the appearance of an order-disorder phase transition in the statistical model in the thermodynamic limit. This allows us to relate the error threshold to bath parameters and to the spatial range of the correlated errors.

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Cited by 1 Pith paper

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  1. Tensor-network decoders for process tensor descriptions of non-Markovian noise

    quant-ph 2024-12 conditional novelty 6.0 of 10

    A tensor-network-based maximum likelihood decoder is constructed for quantum error correction under process-tensor noise, with an MPS approximation demonstrated on the five-qubit and Steane codes.

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