Quantum algorithms and complexity in healthcare applications: a systematic review with machine learning-optimized analysis

This paper presents a systematic review of quantum computing approaches to healthcare-related computational problems, with an emphasis on quantum-theoretical foundations and algorithmic complexity. We adopt an optimized machine learning methodology—combining Particle Swarm Optimization (PSO) with La...

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Main Authors: Agostino Marengo, Vito Santamato
Format: Article
Language:English
Published: Frontiers Media S.A. 2025-05-01
Series:Frontiers in Computer Science
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Online Access:https://www.frontiersin.org/articles/10.3389/fcomp.2025.1584114/full
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author Agostino Marengo
Vito Santamato
author_facet Agostino Marengo
Vito Santamato
author_sort Agostino Marengo
collection DOAJ
description This paper presents a systematic review of quantum computing approaches to healthcare-related computational problems, with an emphasis on quantum-theoretical foundations and algorithmic complexity. We adopt an optimized machine learning methodology—combining Particle Swarm Optimization (PSO) with Latent Dirichlet Allocation (LDA)—to analyze the literature and identify key research themes at the intersection of quantum computing and healthcare. A total of 63 peer-reviewed studies were analyzed, with 41 categorized under the first domain and 22 under the second. This approach revealed two primary research directions: (1) quantum computing for artificial intelligence in healthcare, and (2) quantum computing for healthcare data security. We highlight the theoretical advances underlying these domains, from novel quantum machine learning algorithms for biomedical data to quantum cryptographic protocols for securing medical information. A gradient boosting classifier further validates our taxonomy by reliably distinguishing between the two categories of research, demonstrating the robustness of the identified themes, with an accuracy of 84.2%, a precision of 88.9%, a recall of 84.2%, an F1-score of 84.5%, and an area under the curve of 0.875. Interpretability analysis using Local Interpretable Model-Agnostic Explanations (LIME) exposes distinguishing features of each category (e.g., references to biomedical applications versus blockchain-based security frameworks), offering transparency into the literature-driven categorization, with the latter showing the most significant contributions to topic assignment (ranging from −0.133 to +0.128). Our findings underscore that quantum algorithms offer significant potential to enhance data security, optimize complex diagnostic computations, and provide computational speedups for health informatics. We also identify outstanding challenges—such as the need for scalable quantum algorithms and error-tolerant hardware integration—that must be addressed to translate these theoretical advancements into real-world clinical impact. This study emphasizes the importance of hybrid quantum-classical models and cross-disciplinary research to bridge the gap between cutting-edge quantum computing theory and its practical applications in healthcare.
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spelling doaj-art-d56baa2caf6f4738bba7fca3633340642025-08-20T03:48:57ZengFrontiers Media S.A.Frontiers in Computer Science2624-98982025-05-01710.3389/fcomp.2025.15841141584114Quantum algorithms and complexity in healthcare applications: a systematic review with machine learning-optimized analysisAgostino MarengoVito SantamatoThis paper presents a systematic review of quantum computing approaches to healthcare-related computational problems, with an emphasis on quantum-theoretical foundations and algorithmic complexity. We adopt an optimized machine learning methodology—combining Particle Swarm Optimization (PSO) with Latent Dirichlet Allocation (LDA)—to analyze the literature and identify key research themes at the intersection of quantum computing and healthcare. A total of 63 peer-reviewed studies were analyzed, with 41 categorized under the first domain and 22 under the second. This approach revealed two primary research directions: (1) quantum computing for artificial intelligence in healthcare, and (2) quantum computing for healthcare data security. We highlight the theoretical advances underlying these domains, from novel quantum machine learning algorithms for biomedical data to quantum cryptographic protocols for securing medical information. A gradient boosting classifier further validates our taxonomy by reliably distinguishing between the two categories of research, demonstrating the robustness of the identified themes, with an accuracy of 84.2%, a precision of 88.9%, a recall of 84.2%, an F1-score of 84.5%, and an area under the curve of 0.875. Interpretability analysis using Local Interpretable Model-Agnostic Explanations (LIME) exposes distinguishing features of each category (e.g., references to biomedical applications versus blockchain-based security frameworks), offering transparency into the literature-driven categorization, with the latter showing the most significant contributions to topic assignment (ranging from −0.133 to +0.128). Our findings underscore that quantum algorithms offer significant potential to enhance data security, optimize complex diagnostic computations, and provide computational speedups for health informatics. We also identify outstanding challenges—such as the need for scalable quantum algorithms and error-tolerant hardware integration—that must be addressed to translate these theoretical advancements into real-world clinical impact. This study emphasizes the importance of hybrid quantum-classical models and cross-disciplinary research to bridge the gap between cutting-edge quantum computing theory and its practical applications in healthcare.https://www.frontiersin.org/articles/10.3389/fcomp.2025.1584114/fullquantum algorithmscomputational complexityquantum machine learningParticle Swarm Optimizationhealthcare data security
spellingShingle Agostino Marengo
Vito Santamato
Quantum algorithms and complexity in healthcare applications: a systematic review with machine learning-optimized analysis
Frontiers in Computer Science
quantum algorithms
computational complexity
quantum machine learning
Particle Swarm Optimization
healthcare data security
title Quantum algorithms and complexity in healthcare applications: a systematic review with machine learning-optimized analysis
title_full Quantum algorithms and complexity in healthcare applications: a systematic review with machine learning-optimized analysis
title_fullStr Quantum algorithms and complexity in healthcare applications: a systematic review with machine learning-optimized analysis
title_full_unstemmed Quantum algorithms and complexity in healthcare applications: a systematic review with machine learning-optimized analysis
title_short Quantum algorithms and complexity in healthcare applications: a systematic review with machine learning-optimized analysis
title_sort quantum algorithms and complexity in healthcare applications a systematic review with machine learning optimized analysis
topic quantum algorithms
computational complexity
quantum machine learning
Particle Swarm Optimization
healthcare data security
url https://www.frontiersin.org/articles/10.3389/fcomp.2025.1584114/full
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