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Quantum Error Correction Fault Tolerance Open Quantum Systems Decoherence

A Minimal Duality Estimate for the Surface-Code Threshold under Nearest-Neighbor Correlated Errors

arXiv
Authors: Masayuki Ohzeki

Year

2026

Paper ID

67988

Status

Preprint

Abstract Read

~2 min

Abstract Words

61

Citations

0

Abstract

We apply the single-equation duality criterion to the square-octagonal random-bond Ising model recently obtained from an exact error-edge map for a surface code with nearest-neighbor correlated errors. The calculation is performed for the minimal cell after the error-edge reduction. For the symmetric case p1=p2=p3=p, this gives pc=0.0288427147, in close agreement with the reported numerical threshold of about 3\%.

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  • We apply the single-equation duality criterion to the square-octagonal random-bond Ising model recently obtained from an exact error-edge map for a surface code with...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2606.02052 [2] arXiv https://arxiv.org/abs/2606.02052 [3] Publisher https://arxiv.org/abs/2606.02052

Local Citation Graph (Related-Paper Links)

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External citation index: OpenAlex citation signal • updated 2026-06-11 02:57:23

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