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Quantum Machine Intelligence

Mitigating vanishing similarity in quantum kernels for DDoS attack detection

Arturo Rodríguez-Almazán, Guillermo Rivas, Pablo Plaza-Martínez, Angélica González Arrieta, Ricardo S. Alonso

Published Jun 30, 2026• 0 citations
Publisher

Abstract

Abstract Distributed Denial-of-Service (DDoS) attacks remain one of the most critical threats to modern cybersecurity. While machine learning techniques have proven effective for detection, classical approaches struggle with the growing complexity and scale of these attacks. Quantum computing, particularly quantum kernel methods, offers a promising alternative; however, the current state of the art faces a major challenge: vanishing similarity, which severely limits model expressiveness in high-dimensional spaces. This work introduces a novel quantum kernel inspired by multiple kernel learning, designed to mitigate vanishing similarity by constructing kernels in reduced-dimensional subspaces and combining them through averaging. The methodology is validated on the Canadian Institute for Cybersecurity dataset (NTP-based DDoS attacks). The proposed kernel effectively preserves classification capability in high-dimensional feature spaces, paving the way for practical applications of quantum kernels.

DOI
10.1007/s42484-026-00412-6

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Abstract Distributed Denial-of-Service (DDoS) attacks remain one of the most critical threats to modern cybersecurity. While machine learning techniques have proven effective for detection, classical approaches struggle with the growing complexity and scale of these attacks. Quantum computing, particularly quantum kernel methods, offers a promising alternative; however, the current state of the art faces a major challenge: vanishing similarity, which severely limits model expressiveness in high-dimensional spaces. This work introduces a novel quantum kernel inspired by multiple kernel learning, designed to mitigate vanishing similarity by constructing kernels in reduced-dimensional subspaces and combining them through averaging. The methodology is validated on the Canadian Institute for Cybersecurity dataset (NTP-based DDoS attacks). The proposed kernel effectively preserves classification capability in high-dimensional feature spaces, paving the way for practical applications of quantum kernels.
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Distributed Denial-of-Service (DDoS) attacks are a significant issue in classical networks. These attacks have been shown to impact the critical infrastructure of a nation, such as its major financial institutions. The possibility of DDoS attacks has also been identified for quantum networks. In this theoretical work, we introduce a quantum analogue of classical entropic DDoS detection systems and apply it in the context of detecting an attack on a quantum network. In particular, we examine DDoS attacks on a quantum repeater and harness the associated entanglement entropy for the detection system. Our results extend the applicability of quantum information from the domain of data security to the area of network security.
With cyber-attacks becoming increasingly sophisticated, modern network intrusion detection systems (NIDSs) are relying on machine learning (ML) methods for their flexibility in detecting subtle anomalous patterns in huge amounts of network data. However, classical ML methods such as support vector machines (SVMs) often rely on the conversion of low-dimensional data into a high-dimensional space, creating complex linear systems that are time-consuming to evaluate on large data inputs such as network flow logs. We propose addressing this limitation by employing a hybrid quantum-classical ML model to leverage quantum computing's (QC's) superiority in high-dimensional areas. We constructed a quantum kernel with an SVM model and evaluated it on four different network attacks from a modern intrusion detection dataset. Results reveal an average hardware accuracy rate of 85% with noticeably small deviations between runs, suggesting that quantum kernels may be a noise-resistant solution. We evaluated these results alongside classical and noiseless quantum simulator benchmarks.
Abstract Quantum kernel (QK) methods exploit quantum computers to calculate QKs for the use of kernel-based learning models. Despite a potential quantum advantage of the method, the commonly used fidelity-based QK suffers from a detrimental issue, which we call the vanishing similarity issue; the exponential decay of the expectation value and the variance of the QK deteriorates implementation feasibility and trainability of the model with the increase of the number of qubits. This implies the need to design QKs alternative to the fidelity-based one. In this work, we propose a new class of QKs called the quantum Fisher kernels (QFKs) that take into account the geometric structure of the data source. We analytically and numerically demonstrate that the QFK can avoid the issue when shallow alternating layered ansatzes are used. In addition, the Fourier analysis numerically elucidates that the QFK can have the expressivity comparable to the fidelity-based QK. Moreover, we demonstrate synthetic classification tasks where QFK outperforms the fidelity-based QK in performance due to the absence of vanishing similarity. These results indicate that QFK paves the way for practical applications of quantum machine learning toward possible quantum advantages.
Distributed Denial-of-Service (DDoS) attacks can occur in quantum networks, which can pose a significant threat to its key distribution protocols. We introduce a quantum analogue of a classical entropic DDoS detection system, and apply it in the context of detecting an attack on a quantum network. In particular, we examine DDoS attacks on a quantum repeater and harness the associated entanglement entropy for the detection system. Our method contributes to the applicability of quantum information from the domain of data security to the area of network security.