A Minimal Duality Estimate for the Surface-Code Threshold under Nearest-Neighbor Correlated Errors
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914622861213696 |
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| author | Ohzeki, Masayuki |
| author_facet | Ohzeki, Masayuki |
| contents | 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 \(p_1=p_2=p_3=p\), this gives \(p_c=0.0288427147\), in close agreement with the reported numerical threshold of about \(3\%\). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_02052 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Minimal Duality Estimate for the Surface-Code Threshold under Nearest-Neighbor Correlated Errors Ohzeki, Masayuki Disordered Systems and Neural Networks Quantum Physics 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 \(p_1=p_2=p_3=p\), this gives \(p_c=0.0288427147\), in close agreement with the reported numerical threshold of about \(3\%\). |
| title | A Minimal Duality Estimate for the Surface-Code Threshold under Nearest-Neighbor Correlated Errors |
| topic | Disordered Systems and Neural Networks Quantum Physics |
| url | https://arxiv.org/abs/2606.02052 |