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arXiv:2501.13165 · Quantum Science and Technology

QuFeX: quantum feature extraction module for hybrid quantum-classical deep neural networks

Naman Jain, Amir Kalev

Published Nov 26, 2025• 4 citations
arXivHTMLPDF

Abstract

Abstract We introduce quantum feature extraction (QuFeX), a novel quantum machine learning module. The proposed module enables feature extraction in a reduced-dimensional space, significantly decreasing the number of parallel evaluations required in typical quantum convolutional neural network (NNs) architectures. Its design allows seamless integration into deep classical NNs, making it particularly suitable for hybrid quantum–classical models. As an application of QuFeX, we propose Qu-Net—a hybrid architecture which integrates QuFeX at the bottleneck of a U-Net architecture. The latter is widely used for image segmentation tasks such as medical imaging and autonomous driving. Our numerical analysis indicates that the Qu-Net can achieve superior segmentation performance compared to a U-Net baseline. These results highlight the potential of QuFeX to enhance deep NNs by leveraging hybrid computational paradigms, providing a path towards a robust framework for real-world applications requiring precise feature extraction.

DOI
10.1088/2058-9565/ae24a8

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Abstract We introduce quantum feature extraction (QuFeX), a novel quantum machine learning module. The proposed module enables feature extraction in a reduced-dimensional space, significantly decreasing the number of parallel evaluations required in typical quantum convolutional neural network (NNs) architectures. Its design allows seamless integration into deep classical NNs, making it particularly suitable for hybrid quantum–classical models. As an application of QuFeX, we propose Qu-Net—a hybrid architecture which integrates QuFeX at the bottleneck of a U-Net architecture. The latter is widely used for image segmentation tasks such as medical imaging and autonomous driving. Our numerical analysis indicates that the Qu-Net can achieve superior segmentation performance compared to a U-Net baseline. These results highlight the potential of QuFeX to enhance deep NNs by leveraging hybrid computational paradigms, providing a path towards a robust framework for real-world applications requiring precise feature extraction.
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Convolutional neural networks (CNNs) have demonstrated strong performance in image processing tasks. However, as the complexity of the image scene increases, their ability to efficiently extract meaningful features diminishes. Quantum computing is increasingly recognized for its potential to address this limitation. We propose Scalable Quantum Feature Extraction (SQFE), a novel quantum feature extraction model designed as a variational quantum circuit (VQC) that mimics convolutional behavior while leveraging quantum principles. Unlike prior quantum feature extraction models that discard spatial features, use fixed quantum filters, or prevent joint optimization, SQFE supports full end-to-end training through backpropagation and is compatible with deep neural networks. SQFE is integrated into a ResNet-18 network to form the hybrid model QuRes. We evaluate multiple QuRes variants on a real-world dataset and demonstrate that QuRes models achieved test accuracies between 86.15% and 87.82%, outperforming the classical ResNet-18 with 84.84% accuracy. In terms of model complexity, QuRes reduced total parameter counts by 65%. These results highlight the potential of hybrid quantum-classical models to improve efficiency, scalability, and learning capacity in machine learning applications.
The integration of quantum computing principles with classical deep learning architectures has emerged as a promising direction for advancing image recognition systems beyond the limitations of purely classical convolutional neural networks (CNNs). This study proposes and analyzes a hybrid quantum–classical deep learning framework based on quanvolutional neural network (QNN) principles, where quantum circuits are embedded within convolutional feature extraction layers to enhance representation capability. The research investigates how quantum-enhanced filters, particularly quanvolutional layers, contribute to improved feature diversity, non-linear transformation capacity, and classification accuracy in image recognition tasks. Building upon established convolutional architectures and quantum machine learning theories, the proposed framework integrates quantum random circuit encoding with classical deep neural networks to evaluate performance gains in comparison to conventional CNN models. The study further incorporates theoretical insights from hybrid quantum-classical learning systems, emphasizing the role of parameterized quantum circuits in feature mapping and optimization stability. The methodology is grounded in NISQ-era quantum computing constraints and leverages hybrid optimization strategies to ensure computational feasibility. Experimental evaluation demonstrates that quanvolution-based models can provide improved robustness in feature extraction, particularly in high-dimensional image spaces, while maintaining competitive computational efficiency. However, scalability limitations and noise sensitivity in quantum circuits remain key challenges. Overall, this work contributes to the growing field of quantum-enhanced machine learning by providing a structured performance analysis of hybrid quanvolutional architectures and highlighting their potential role in next-generation intelligent visual recognition systems.
Deep learning has achieved significant success in pattern recognition, with convolutional neural networks (CNNs) serving as a foundational architecture for extracting spatial features from images. Quantum computing provides an alternative computational framework, a hybrid quantum-classical convolutional neural networks (QCCNNs) leverage high-dimensional Hilbert spaces and entanglement to surpass classical CNNs in image classification accuracy under comparable architectures. Despite performance improvements, QCCNNs typically use fixed quantum layers without incorporating trainable quantum parameters. This limits their ability to capture non-linear quantum representations and separates the model from the potential advantages of expressive quantum learning. In this work, we present a hybrid quantum-classical-quantum convolutional neural network (QCQ-CNN) that incorporates a quantum convolutional filter, a shallow classical CNN, and a trainable variational quantum classifier. This architecture aims to enhance the expressivity of decision boundaries in image classification tasks by introducing tunable quantum parameters into the end-to-end learning process. Through a series of small-sample experiments on MNIST, F-MNIST, and MRI tumor datasets, QCQ-CNN demonstrates competitive accuracy and convergence behavior compared to classical and hybrid baselines. We further analyze the effect of ansatz depth and find that moderate-depth quantum circuits can improve learning stability without introducing excessive complexity. Additionally, simulations incorporating depolarizing noise and finite sampling shots suggest that QCQ-CNN maintains a certain degree of robustness under realistic quantum noise conditions. While our results are currently limited to simulations with small-scale quantum circuits, the proposed approach offers a potentially promising direction for hybrid quantum learning in near-term applications.