Learning to Concatenate Quantum Codes
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917413712297984 |
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| author | Meyer, Nico Mutschler, Christopher Seuß, Dominik Maier, Andreas Scherer, Daniel D. |
| author_facet | Meyer, Nico Mutschler, Christopher Seuß, Dominik Maier, Andreas Scherer, Daniel D. |
| contents | Concatenating quantum error correction codes scales error correction capability by driving logical error rates down double-exponentially across levels. However, the noise structure shifts under concatenation, making it hard to choose an optimal code sequence. We automate this choice by estimating the effective noise channel after each level and selecting the next code accordingly. In particular, we use learning-based methods to tailor small, non-additive encoders when the noise exhibits sufficient structure, then switch to standard codes once the noise is nearly uniform. In simulations, this level-wise adaptation achieves a target logical error rate with far fewer qubits than concatenating stabilizer codes alone--reducing qubit counts by up to two orders of magnitude for strongly structured noise. Therefore, this hybrid, learning-based strategy offers a promising tool for early fault-tolerant quantum computing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_14931 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Learning to Concatenate Quantum Codes Meyer, Nico Mutschler, Christopher Seuß, Dominik Maier, Andreas Scherer, Daniel D. Quantum Physics Machine Learning Concatenating quantum error correction codes scales error correction capability by driving logical error rates down double-exponentially across levels. However, the noise structure shifts under concatenation, making it hard to choose an optimal code sequence. We automate this choice by estimating the effective noise channel after each level and selecting the next code accordingly. In particular, we use learning-based methods to tailor small, non-additive encoders when the noise exhibits sufficient structure, then switch to standard codes once the noise is nearly uniform. In simulations, this level-wise adaptation achieves a target logical error rate with far fewer qubits than concatenating stabilizer codes alone--reducing qubit counts by up to two orders of magnitude for strongly structured noise. Therefore, this hybrid, learning-based strategy offers a promising tool for early fault-tolerant quantum computing. |
| title | Learning to Concatenate Quantum Codes |
| topic | Quantum Physics Machine Learning |
| url | https://arxiv.org/abs/2604.14931 |