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arXiv:2507.14919 · IEEE International Conference on Quantum Computing and Engineering (QCE)

Old Rules in a New Game: Mapping Uncertainty Quantification to Quantum Machine Learning

Maximilian Wendlinger, Kilian Tscharke, Pascal Debus

Published Aug 30, 2025• 1 citation
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Abstract

One of the key obstacles in traditional deep learning is the reduction in model transparency caused by increasingly intricate model functions, which can lead to problems such as overfitting and excessive confidence in predictions. With the advent of quantum machine learning offering possible advances in computational power and latent space complexity, we notice the same opaque behavior. Despite significant research in classical contexts, there has been little advancement in addressing the black-box nature of quantum machine learning. Consequently, we approach this gap by building upon existing work in classical uncertainty quantification and initial explorations in quantum Bayesian modeling to theoretically develop and empirically evaluate techniques to map classical uncertainty quantification methods to the quantum machine learning domain. Our findings emphasize the necessity of leveraging classical insights into uncertainty quantification to include uncertainty awareness in the process of designing new quantum machine learning models.

DOI
10.1109/qce65121.2025.00198

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One of the key obstacles in traditional deep learning is the reduction in model transparency caused by increasingly intricate model functions, which can lead to problems such as overfitting and excessive confidence in predictions. With the advent of quantum machine learning offering possible advances in computational power and latent space complexity, we notice the same opaque behavior. Despite significant research in classical contexts, there has been little advancement in addressing the black-box nature of quantum machine learning. Consequently, we approach this gap by building upon existing work in classical uncertainty quantification and initial explorations in quantum Bayesian modeling to theoretically develop and empirically evaluate techniques to map classical uncertainty quantification methods to the quantum machine learning domain. Our findings emphasize the necessity of leveraging classical insights into uncertainty quantification to include uncertainty awareness in the process of designing new quantum machine learning models.
Quantum Bayesian Inference (QBI) offers a promising approach to quantifying uncertainty in machine learning models, particularly in the face of adversarial examples. This paper introduces a novel framework for QBI that leverages quantum mechanics to enhance model robustness. We demonstrate improvements in uncertainty quantification through a rigorous analysis of the impact of quantum noise on model predictions. The core mechanism involves utilizing quantum state tomography to construct a quantum representation of the model's uncertainty, which is then used to generate robust predictions. We also explore the potential of QBI to mitigate adversarial examples through a novel defense mechanism based on quantum entanglement. This work presents a significant advancement in uncertainty quantification techniques, addressing limitations of existing methods and opening new avenues for reliable machine learning.
Quantum computing has demonstrated remarkable prowess in addressing factorization issues and unordered search problems, showcasing its quantum parallelism capabilities that enable exponential speed-up for specific computational challenges. However, the seamless integration of classical and quantum computing to harness accelerated computation speed presents unique challenges. This paper delves into the intricacies of this integration, focusing on the current state of quantum machine learning (QML) and evaluating the performance of classical and quantum algorithms in terms of accuracy. To address these challenges, we conducted experiments utilizing three datasets for binary classification, implementing both classical Support Vector Machine (SVM) and Quantum SVM (QSVM) algorithms. Our investigations reveal that the QSVM algorithm consistently outperforms its classical counterpart on complex datasets. Notably, the performance gap between quantum and classical models widens with increasing dataset complexity, shedding light on the susceptibility of simple classical models to overfitting when confronted with intricate datasets.Despite the ongoing development required for quantum hardware with ample resources, our findings underscore the significant potential of quantum machine learning, particularly in unsupervised learning and generative models. As we move forward, it is imperative to channel more efforts into exploring novel quantum learning models capable of harnessing the inherent power of quantum mechanics to overcome the constraints of classical machine learning. This research contributes to the ongoing discourse on the future of quantum computing, emphasizing the need for continued exploration and innovation in quantum machine learning methodologies.
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Machine Learning (ML) has been widely applied across numerous domains due to its ability to automatically identify informative patterns from data for various tasks. The availability of large-scale data and advanced computational power enables the development of sophisticated models and training strategies, leading to state-of-the-art performance, but it also introduces substantial challenges. Quantum Computing (QC), which exploits quantum mechanisms for computation, has attracted growing attention and significant global investment as it may address these challenges. Consequently, Quantum Machine Learning (QML), the integration of these two fields, has received increasing interest, with a notable rise in related studies in recent years. We are motivated to review these existing contributions regarding quantum circuit-based learning models for classical data analysis and highlight the identified potentials and challenges of this technique. Specifically, we focus not only on QML models, both kernel-based and neural network-based, but also on recent explorations of their integration with classical machine learning layers within hybrid frameworks. Moreover, we examine both theoretical analysis and empirical findings to better understand their capabilities, and we also discuss the efforts on noise-resilient and hardware-efficient QML that could enhance its practicality under current hardware limitations. In addition, we cover several emerging paradigms for advanced quantum circuit design and highlight the adaptability of QML across representative application domains. This study aims to provide an overview of the contributions made to bridge quantum computing and machine learning, offering insights and guidance to support its future development and pave the way for broader adoption in the coming years.
This paper explores the potential of quantum machine learning to revolutionize causal inference within machine learning models. Traditional machine learning often operates as a "black box," lacking transparency regarding the underlying causal relationships driving predictions. We propose a novel framework leveraging quantum mechanics – specifically quantum entanglement and superposition – to achieve precise causal inference. This framework centers around simulating causal relationships using quantum circuits, validating causal effects through quantum measurements, and mitigating measurement errors with quantum error correction. The core claim is that this approach can overcome the limitations of classical methods and provide a fundamentally more accurate and interpretable understanding of complex systems. We outline the key components of this framework, emphasizing the theoretical foundations and potential challenges, and argue for a significant paradigm shift in how we approach causal discovery and model validation within the field of machine learning. The ultimate goal is to build inherently causal quantum machine learning models that are robust to noise and offer unparalleled predictive power. ---