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Main Authors: Wang, SiYing, Yan, Yue, Xia, ZhiXin, Wang, Xiang-Bin
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2506.15490
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author Wang, SiYing
Yan, Yue
Xia, ZhiXin
Wang, Xiang-Bin
author_facet Wang, SiYing
Yan, Yue
Xia, ZhiXin
Wang, Xiang-Bin
contents Surface codes are promising for practical quantum error correction due to their high threshold and experimental feasibility. However, their performance under realistic noise conditions, particularly those involving correlated errors, requires further investigation. In this study, we investigate the impact of correlated errors on the error threshold. In particular, we focus on several distinct types of correlated errors that could potentially arise from next-nearest-neighbor (NNN) coupling in quantum systems. We present the analytical threshold of the surface code under these types of correlated noise, and find that errors correlated along straight lines possess a type of crucial symmetry, resulting in higher thresholds compared to other types of correlated errors. This deepens our insight into the threshold of surface code and hence facilitates a more robust design of quantum circuits with a higher noise threshold.
format Preprint
id arxiv_https___arxiv_org_abs_2506_15490
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Symmetry in Multi-Qubit Correlated Noise Errors Enhances Surface Code Thresholds
Wang, SiYing
Yan, Yue
Xia, ZhiXin
Wang, Xiang-Bin
Quantum Physics
Surface codes are promising for practical quantum error correction due to their high threshold and experimental feasibility. However, their performance under realistic noise conditions, particularly those involving correlated errors, requires further investigation. In this study, we investigate the impact of correlated errors on the error threshold. In particular, we focus on several distinct types of correlated errors that could potentially arise from next-nearest-neighbor (NNN) coupling in quantum systems. We present the analytical threshold of the surface code under these types of correlated noise, and find that errors correlated along straight lines possess a type of crucial symmetry, resulting in higher thresholds compared to other types of correlated errors. This deepens our insight into the threshold of surface code and hence facilitates a more robust design of quantum circuits with a higher noise threshold.
title Symmetry in Multi-Qubit Correlated Noise Errors Enhances Surface Code Thresholds
topic Quantum Physics
url https://arxiv.org/abs/2506.15490