Global receptive field transformer decoder method on quantum surface code data and syndrome error correction

doi:10.1088/1674-1056/adab63

中国物理B ›› 2025, Vol. 34 ›› Issue (3): 30306-030306.doi: 10.1088/1674-1056/adab63

Global receptive field transformer decoder method on quantum surface code data and syndrome error correction

Ao-Qing Li(李熬庆)¹, Ce-Wen Tian(田策文)¹, Xiao-Xuan Xu(徐晓璇)¹, Hong-Yang Ma(马鸿洋)², and Jun-Qing Liang(梁俊卿)^1,†

1 School of Information and Control Engineering, Qingdao University of Technology, Qingdao 266033, China;
2 School of Sciences, Qingdao University of Technology, Qingdao 266033, China

收稿日期:2024-10-19 修回日期:2024-12-25 接受日期:2025-01-17 发布日期:2025-03-15
通讯作者: Jun-Qing Liang E-mail:junqingliang@qut.edu.cn
基金资助:
Project supported by the Natural Science Foundation of Shandong Province, China (Grant No. ZR2021MF049), Joint Fund of Natural Science Foundation of Shandong Province (Grant Nos. ZR2022LLZ012 and ZR2021LLZ001), and the Key R&D Program of Shandong Province, China (Grant No. 2023CXGC010901).

Global receptive field transformer decoder method on quantum surface code data and syndrome error correction

Ao-Qing Li(李熬庆)¹, Ce-Wen Tian(田策文)¹, Xiao-Xuan Xu(徐晓璇)¹, Hong-Yang Ma(马鸿洋)², and Jun-Qing Liang(梁俊卿)^1,†

1 School of Information and Control Engineering, Qingdao University of Technology, Qingdao 266033, China;
2 School of Sciences, Qingdao University of Technology, Qingdao 266033, China

Received:2024-10-19 Revised:2024-12-25 Accepted:2025-01-17 Published:2025-03-15
Contact: Jun-Qing Liang E-mail:junqingliang@qut.edu.cn
Supported by:
Project supported by the Natural Science Foundation of Shandong Province, China (Grant No. ZR2021MF049), Joint Fund of Natural Science Foundation of Shandong Province (Grant Nos. ZR2022LLZ012 and ZR2021LLZ001), and the Key R&D Program of Shandong Province, China (Grant No. 2023CXGC010901).

摘要/Abstract

摘要： Quantum computing has the potential to solve complex problems that are inefficiently handled by classical computation. However, the high sensitivity of qubits to environmental interference and the high error rates in current quantum devices exceed the error correction thresholds required for effective algorithm execution. Therefore, quantum error correction technology is crucial to achieving reliable quantum computing. In this work, we study a topological surface code with a two-dimensional lattice structure that protects quantum information by introducing redundancy across multiple qubits and using syndrome qubits to detect and correct errors. However, errors can occur not only in data qubits but also in syndrome qubits, and different types of errors may generate the same syndromes, complicating the decoding task and creating a need for more efficient decoding methods. To address this challenge, we used a transformer decoder based on an attention mechanism. By mapping the surface code lattice, the decoder performs a self-attention process on all input syndromes, thereby obtaining a global receptive field. The performance of the decoder was evaluated under a phenomenological error model. Numerical results demonstrate that the decoder achieved a decoding accuracy of 93.8%. Additionally, we obtained decoding thresholds of 5% and 6.05% at maximum code distances of 7 and 9, respectively. These results indicate that the decoder used demonstrates a certain capability in correcting noise errors in surface codes.

关键词: quantum error correction, surface code, transformer decoder

Abstract: Quantum computing has the potential to solve complex problems that are inefficiently handled by classical computation. However, the high sensitivity of qubits to environmental interference and the high error rates in current quantum devices exceed the error correction thresholds required for effective algorithm execution. Therefore, quantum error correction technology is crucial to achieving reliable quantum computing. In this work, we study a topological surface code with a two-dimensional lattice structure that protects quantum information by introducing redundancy across multiple qubits and using syndrome qubits to detect and correct errors. However, errors can occur not only in data qubits but also in syndrome qubits, and different types of errors may generate the same syndromes, complicating the decoding task and creating a need for more efficient decoding methods. To address this challenge, we used a transformer decoder based on an attention mechanism. By mapping the surface code lattice, the decoder performs a self-attention process on all input syndromes, thereby obtaining a global receptive field. The performance of the decoder was evaluated under a phenomenological error model. Numerical results demonstrate that the decoder achieved a decoding accuracy of 93.8%. Additionally, we obtained decoding thresholds of 5% and 6.05% at maximum code distances of 7 and 9, respectively. These results indicate that the decoder used demonstrates a certain capability in correcting noise errors in surface codes.

Key words: quantum error correction, surface code, transformer decoder

中图分类号: (Quantum error correction and other methods for protection against decoherence)

03.67.Pp

03.67.-a (Quantum information)

Ao-Qing Li(李熬庆), Ce-Wen Tian(田策文), Xiao-Xuan Xu(徐晓璇), Hong-Yang Ma(马鸿洋), and Jun-Qing Liang(梁俊卿). Global receptive field transformer decoder method on quantum surface code data and syndrome error correction[J]. 中国物理B, 2025, 34(3): 30306-030306.

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Global receptive field transformer decoder method on quantum surface code data and syndrome error correction

Global receptive field transformer decoder method on quantum surface code data and syndrome error correction

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