Abstract Quantum computing has demonstrated a potential advantage in advancing artificial intelligence and machine learning applications. Both disciplines leverage higher-dimensional computation that relies on complex linear algebra operations. Quantum Support Vector Machines (QSVMs) uses quantum computation principles to enhance classification performance over traditional SVMs. This paper studies QSVMs applied to the Iris and Wine datasets by exploring various quantum encoding methods, including amplitude encoding, ZZFeatureMap, and PauliFeatureMap, within IBM’s Qiskit framework. These encoding methods enable QSVMs to utilize quantum phenomena like superposition and entanglement to transform classical data into quantum states to increase computational efficiency and accuracy in classification tasks. Numerical results indicate that QSVMs with amplitude encoding with combination of ZZFeatureMap achieve higher classification accuracy than traditional techniques. Also, this study assess the current performance of Noisy Intermediate-Scale Quantum (NISQ) devices to highlight the need for further optimization and advancements in quantum data encoding approches. These findings provide important insights into the application of QSVMs and their potential to address a range of classification problems effectively.
Abstract Quantum computing has demonstrated a potential advantage in advancing artificial intelligence and machine learning applications. Both disciplines leverage higher-dimensional computation that relies on complex linear algebra operations. Quantum Support Vector Machines (QSVMs) uses quantum computation principles to enhance classification performance over traditional SVMs. This paper studies QSVMs applied to the Iris and Wine datasets by exploring various quantum encoding methods, including amplitude encoding, ZZFeatureMap, and PauliFeatureMap, within IBM’s Qiskit framework. These encoding methods enable QSVMs to utilize quantum phenomena like superposition and entanglement to transform classical data into quantum states to increase computational efficiency and accuracy in classification tasks. Numerical results indicate that QSVMs with amplitude encoding with combination of ZZFeatureMap achieve higher classification accuracy than traditional techniques. Also, this study assess the current performance of Noisy Intermediate-Scale Quantum (NISQ) devices to highlight the need for further optimization and advancements in quantum data encoding approches. These findings provide important insights into the application of QSVMs and their potential to address a range of classification problems effectively.
Quantum Support Vector Machines (QSVM) play a vital role in using quantum resources for supervised machine learning tasks, such as classification. However, current methods are strongly limited in terms of scalability on Noisy Intermediate Scale Quantum (NISQ) devices. In this work, we propose a novel approach called the Variational Quantum Linear Solver (VQLS) enhanced QSVM. This is built upon our idea of utilizing the variational quantum linear solver to solve system of linear equations of a Least Squares-SVM on a NISQ device. The implementation of our approach is evaluated by an extensive series of numerical experiments with the Iris dataset, which consists of three distinct iris plant species. Based on this, we explore the effectiveness of our algorithm by constructing a classifier capable of classification in a feature space ranging from one to seven dimensions. Furthermore, we exploit both classical and quantum computing for various subroutines of our algorithm, and effectively mitigate challenges associated with the implementation. These include significant improvement in the trainability of the variational ansatz and notable reductions in run-time for cost calculations. Based on the numerical experiments, our approach exhibits the capability of identifying a separating hyperplane in an 8-dimensional feature space. Moreover, it consistently demonstrated strong performance across various instances with the same dataset.
Quantum Support Vector Machines (QSVM) play a vital role in using quantum resources for supervised machine learning tasks, such as classification. However, current methods are strongly limited in terms of scalability on Noisy Intermediate Scale Quantum (NISQ) devices. In this work, we propose a novel approach called the Variational Quantum Linear Solver (VQLS) enhanced QSVM. This is built upon our idea of utilizing the variational quantum linear solver to solve system of linear equations of a least squares-SVM on a NISQ device. The implementation of our approach is evaluated by an extensive series of numerical experiments with the Iris dataset, which consists of three distinct iris plant species. Based on this, we explore the practicality and effectiveness of our algorithm by constructing a classifier capable of classification in a feature space ranging from one to seven dimensions. Furthermore, by strategically exploiting both classical and quantum computing for various subroutines of our algorithm, we effectively mitigate practical challenges associated with the implementation. These include significant improvement in the trainability of the variational ansatz and notable reductions in run-time for cost calculations. Based on the numerical experiments, our approach exhibits the capability of identifying a separating hyperplane in an 8-dimensional feature space. Moreover, it consistently demonstrated strong performance across various instances with the same dataset.
In recent years, quantum machine learning has emerged as a promising intersection between quantum physics and artificial intelligence, particularly in domains requiring advanced pattern recognition such as healthcare. This study investigates the effectiveness of Quantum Support Vector Machines (QSVM), which leverage quantum mechanical phenomena like superposition and entanglement to construct high-dimensional Hilbert spaces for data classification. Focusing on lung cancer diagnosis, a concrete and critical healthcare application, we analyze how different quantum feature maps influence classification performance. Using a real-world dataset of 309 patient records with significant class imbalance (39 non-cancer vs. 270 cancer cases), we constructed six balanced subsets for robust evaluation. QSVM models were implemented using Qiskit and executed on the qasm simulator, employing three distinct quantum feature maps: ZFeatureMap, ZZFeatureMap, and PauliFeatureMap. Performance was assessed using accuracy, precision, recall, specificity, and F1-score. Results show that the PauliFeatureMap consistently outperformed the others, achieving perfect classification in three subsets and strong performance overall. These findings demonstrate how quantum computational principles can be harnessed to enhance diagnostic capabilities, reinforcing the importance of physics-based modeling in emerging AI applications within healthcare.
Quantum computing offers a powerful new paradigm for enhancing classical machine learning, particularly in classification tasks. In this paper, we examine the use of quantum kernels within Support Vector Classification (SVC) and compare their performance to classical SVC. Our experiments focus on the Iris and Wine datasets. For the Wine dataset, we applied Principal Component Analysis (PCA), reducing the feature space from 13 to 4 dimensions to improve computational efficiency. The results demonstrate that Quantum-enhanced SVC (QSVC) outperforms classical SVC, achieving an accuracy improvement from 96.15% with classical SVM to 98.05% with QSVC for the Wine dataset. Similarly, for the Iris dataset, classical SVC achieves near-perfect accuracy at 100%, while QSVC closely follows with 97.25% accuracy. These results highlight the capability of quantum kernels to improve both accuracy and efficiency in classification tasks, providing a promising direction for scalable quantum-classical hybrid systems in machine learning.
Integrating quantum computing with machine learning proposes promising advancement by harnessing quantum parallelism and entanglement to enhance computational efficiency. This study investigates the implementation of a quantum support vector machine and quantum k nearest neighbor using azure quantum Ionq and Quantinuum simulators, utilizing Z, ZZ and Pauli feature maps to transform traditional data into quantum states, enabling the quantum enhanced learning. Four datasets are being carried out for this experiment: iris, wine, Indian liver patient and Rain dataset. To assess classification effectiveness, model performance is assessed using accuracy, F1 score, precision and recall. The findings thoroughly examine the influence of quantum simulators on quantum model performance, emphasizing the compromises of computational feasibility. This research contributes to the ongoing development of quantum machine learning by evaluating its practical applicability and current limitations.
The purpose of this study is to investigate the potential for quantum feature space mapping to be utilized in the enhancement of data encoding approaches for artificial intelligence (AI) systems that are capable of managing complicated datasets. Traditional artificial intelligence models frequently face challenges when confronted with the high-dimensionality and non-linearity of such datasets. This can hinder their performance in areas such as pattern recognition, optimization, and predictive modeling. Quantum computing, which is able to make use of quantum superposition and entanglement, provides a method that is revolutionary in nature by means of quantum feature space mapping. By encoding data into quantum states, this technology enables the construction of feature spaces that are tenfold bigger than those that would be possible in classical conditions. This makes it much simpler to differentiate between intricate patterns that would otherwise be indistinguishable. The purpose of this research is to investigate the application of quantum algorithms, such as Quantum Support Vector Machines (QSVM) and Variational Quantum Classifiers (VQC), with the intention of enhancing the capacity of artificial intelligence to learn from complex and high-dimensional data. We demonstrate that quantum feature space mapping leads to more efficient and accurate data classification, regression, and clustering tasks by comparing the performance of quantum-enhanced artificial intelligence models to that of their classical counterparts on difficult datasets. Additionally, the research addresses important difficulties, such as the constraints of the quantum hardware that is now available and the requirement for quantum circuits that are scalable. Quantum computing has the potential to improve the performance of artificial intelligence in the management of complicated, high-dimensional data, which may ultimately pave the way for advances in domains such as genetics, finance, and cryptography. This work shows that quantum computing has this potential.