Physics-inspired Machine Learning for Quantum Error Mitigation

Fuente: arXiv
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Autores principales: Xu, Xiao-Yue, Xue, Xin, Chen, Tianyu, Ding, Chen, Li, Tian, Zhou, Haoyi, Huang, He-Liang, Bao, Wan-Su
Formato: Preprint
Publicado: 2025
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author Xu, Xiao-Yue
Xue, Xin
Chen, Tianyu
Ding, Chen
Li, Tian
Zhou, Haoyi
Huang, He-Liang
Bao, Wan-Su
author_facet Xu, Xiao-Yue
Xue, Xin
Chen, Tianyu
Ding, Chen
Li, Tian
Zhou, Haoyi
Huang, He-Liang
Bao, Wan-Su
contents Noise is a major obstacle in current quantum computing, and Machine Learning for Quantum Error Mitigation (ML-QEM) promises to address this challenge, enhancing computational accuracy while reducing the sampling overheads of standard QEM methods. Yet, existing models lack physical interpretability and rely heavily on extensive datasets, hindering their scalability in large-scale quantum circuits. To tackle these issues, we introduce the Neural Noise Accumulation Surrogate (NNAS), a physics-inspired neural network for ML-QEM that incorporates the structural characteristics of quantum noise accumulation within multi-layer circuits, endowing the model with physical interpretability. Experimental results demonstrate that NNAS outperforms current methods across a spectrum of metrics, including error mitigation capability, quantum resource consumption, and training dataset size. Notably, for deeper circuits where QEM methods typically struggle, NNAS achieves a remarkable reduction of over half in errors. NNAS also demands substantially fewer training data, reducing dataset reliance by at least an order of magnitude, due to its ability to rapidly capture noise accumulation patterns across circuit layers. This work pioneers the integration of quantum process-derived structural characteristics into neural network architectures, broadly enhancing QEM's performance and applicability, and establishes an integrative paradigm that extends to various quantum-inspired neural network architectures.
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id arxiv_https___arxiv_org_abs_2501_04558
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Physics-inspired Machine Learning for Quantum Error Mitigation
Xu, Xiao-Yue
Xue, Xin
Chen, Tianyu
Ding, Chen
Li, Tian
Zhou, Haoyi
Huang, He-Liang
Bao, Wan-Su
Quantum Physics
Noise is a major obstacle in current quantum computing, and Machine Learning for Quantum Error Mitigation (ML-QEM) promises to address this challenge, enhancing computational accuracy while reducing the sampling overheads of standard QEM methods. Yet, existing models lack physical interpretability and rely heavily on extensive datasets, hindering their scalability in large-scale quantum circuits. To tackle these issues, we introduce the Neural Noise Accumulation Surrogate (NNAS), a physics-inspired neural network for ML-QEM that incorporates the structural characteristics of quantum noise accumulation within multi-layer circuits, endowing the model with physical interpretability. Experimental results demonstrate that NNAS outperforms current methods across a spectrum of metrics, including error mitigation capability, quantum resource consumption, and training dataset size. Notably, for deeper circuits where QEM methods typically struggle, NNAS achieves a remarkable reduction of over half in errors. NNAS also demands substantially fewer training data, reducing dataset reliance by at least an order of magnitude, due to its ability to rapidly capture noise accumulation patterns across circuit layers. This work pioneers the integration of quantum process-derived structural characteristics into neural network architectures, broadly enhancing QEM's performance and applicability, and establishes an integrative paradigm that extends to various quantum-inspired neural network architectures.
title Physics-inspired Machine Learning for Quantum Error Mitigation
topic Quantum Physics
url https://arxiv.org/abs/2501.04558