Surface Code Error Correction with Crosstalk Noise

Fuente: arXiv
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Hauptverfasser: Zhou, Zeyuan, Ji, Andrew, Ding, Yongshan
Format: Preprint
Veröffentlicht: 2025
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author Zhou, Zeyuan
Ji, Andrew
Ding, Yongshan
author_facet Zhou, Zeyuan
Ji, Andrew
Ding, Yongshan
contents The design and performance analysis of quantum error correction (QEC) codes are often based on incoherent and independent noise models since it is easy to simulate. However, these models fail to capture realistic hardware noise sources, such as correlated errors (crosstalk), which can significantly impact QEC code performance, especially when they occur between data and ancillary qubits. In this paper, we systematically study various types of crosstalk noise and quantify their effects on surface codes through memory and stability experiments. Based on our findings, we introduce crosstalk-robust implementations of QEC via flag qubit designs and redundant stabilizer checks. We perform both numerical and analytical studies to demonstrate the efficacy of these strategies. In addition, we analyze logical crosstalk in an $[[n,k>1,d]]$ code block and establish analytical conditions under which physical crosstalk does not lead to logical crosstalk. Together, our analytical and numerical results shed light on designing QEC codes that are robust against hardware realistic crosstalk noise, paving the way for reliable experimental realization of fault-tolerant quantum computing.
format Preprint
id arxiv_https___arxiv_org_abs_2503_04642
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Surface Code Error Correction with Crosstalk Noise
Zhou, Zeyuan
Ji, Andrew
Ding, Yongshan
Quantum Physics
The design and performance analysis of quantum error correction (QEC) codes are often based on incoherent and independent noise models since it is easy to simulate. However, these models fail to capture realistic hardware noise sources, such as correlated errors (crosstalk), which can significantly impact QEC code performance, especially when they occur between data and ancillary qubits. In this paper, we systematically study various types of crosstalk noise and quantify their effects on surface codes through memory and stability experiments. Based on our findings, we introduce crosstalk-robust implementations of QEC via flag qubit designs and redundant stabilizer checks. We perform both numerical and analytical studies to demonstrate the efficacy of these strategies. In addition, we analyze logical crosstalk in an $[[n,k>1,d]]$ code block and establish analytical conditions under which physical crosstalk does not lead to logical crosstalk. Together, our analytical and numerical results shed light on designing QEC codes that are robust against hardware realistic crosstalk noise, paving the way for reliable experimental realization of fault-tolerant quantum computing.
title Surface Code Error Correction with Crosstalk Noise
topic Quantum Physics
url https://arxiv.org/abs/2503.04642