Adaptive Fidelity Estimation for Quantum Programs with Graph-Guided Noise Awareness

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Hauptverfasser: Li, Tingting, Zhao, Ziming, Yin, Jianwei
Format: Preprint
Veröffentlicht: 2026
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author Li, Tingting
Zhao, Ziming
Yin, Jianwei
author_facet Li, Tingting
Zhao, Ziming
Yin, Jianwei
contents Fidelity estimation is a critical yet resource-intensive step in testing quantum programs on noisy intermediate-scale quantum (NISQ) devices, where the required number of measurements is difficult to predefine due to hardware noise, device heterogeneity, and transpilation-induced circuit transformations. We present QuFid, an adaptive and noise-aware framework that determines measurement budgets online by leveraging circuit structure and runtime statistical feedback. QuFid models a quantum program as a directed acyclic graph (DAG) and employs a control-flow-aware random walk to characterize noise propagation along gate dependencies. Backend-specific effects are captured via transpilation-induced structural deformation metrics, which are integrated into the random-walk formulation to induce a noise-propagation operator. Circuit complexity is then quantified through the spectral characteristics of this operator, providing a principled and lightweight basis for adaptive measurement planning. Experiments on 18 quantum benchmarks executed on IBM Quantum backends show that QuFid significantly reduces measurement cost compared to fixed-shot and learning-based baselines, while consistently maintaining acceptable fidelity bias.
format Preprint
id arxiv_https___arxiv_org_abs_2601_14713
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Adaptive Fidelity Estimation for Quantum Programs with Graph-Guided Noise Awareness
Li, Tingting
Zhao, Ziming
Yin, Jianwei
Quantum Physics
Artificial Intelligence
Fidelity estimation is a critical yet resource-intensive step in testing quantum programs on noisy intermediate-scale quantum (NISQ) devices, where the required number of measurements is difficult to predefine due to hardware noise, device heterogeneity, and transpilation-induced circuit transformations. We present QuFid, an adaptive and noise-aware framework that determines measurement budgets online by leveraging circuit structure and runtime statistical feedback. QuFid models a quantum program as a directed acyclic graph (DAG) and employs a control-flow-aware random walk to characterize noise propagation along gate dependencies. Backend-specific effects are captured via transpilation-induced structural deformation metrics, which are integrated into the random-walk formulation to induce a noise-propagation operator. Circuit complexity is then quantified through the spectral characteristics of this operator, providing a principled and lightweight basis for adaptive measurement planning. Experiments on 18 quantum benchmarks executed on IBM Quantum backends show that QuFid significantly reduces measurement cost compared to fixed-shot and learning-based baselines, while consistently maintaining acceptable fidelity bias.
title Adaptive Fidelity Estimation for Quantum Programs with Graph-Guided Noise Awareness
topic Quantum Physics
Artificial Intelligence
url https://arxiv.org/abs/2601.14713