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Chapman & Hall/CRC eBooks

Quantum Machine Learning Approaches

P. Mangalraj, Ganesh Kumar Natarajan, S. Iniyan, Justin Vargese

Published Oct 1, 2024• 0 citations
Publisher

Abstract

The rise of machine learning algorithms in multidisciplinary areas is inevitable. Quantum computers are a significant recent area of development where complex algorithms can be efficiently executed for better performance. Implementing complex algorithms in quantum machines for hardware support systems is escalating due to the emergence of robotics and automated systems in all domains. The acceleration of artificial systems in hardware-based systems requires special approaches, and quantum approaches are more successful in devising accelerated hybrid systems. This chapter mainly deals with the approaches to implementing machine learning algorithms using quantum computing. The chapter was initiated with the question: “Why is quantum computing required to implement machine learning algorithms?” The major hiccup in implementing any machine learning algorithm in classical systems is the complexity of the algorithms. High dimensionality is a curse in implementing machine learning algorithms in classical systems. Quantum computing is a rescuing angel to address the issue of high dimensionality using parallelism. Quantum mechanics is well-versed in generating counterintuitive patterns. The deep learning paradigms identify the data patterns and vice versa by generating similar patterns. Classical machine learning suffers by generating patterns from the quantum of data or information, whereas the quantum mechanism succeeds by implementing the same algorithm using the quantum mechanism. The potential of the quantum mechanism to overcast some of the specific problems by its implementation strategy is called quantum potential, and the strategy used to increase the quantum potential is called the quantum algorithm. The chapter deals with the complexity of quantum computing mechanisms while implementing machine learning algorithms as the prima facie. Following the complexity analysis, usage of feature maps and extraction in the quantum mechanism is discussed for a clear understanding. Quantum embedding techniques are discussed prior to algorithms used to implement machine learning in quantum computers. The remaining sections of the chapter introduces Deutch-Jozsa, HHL, QUBO quantum mechanism-based algorithms and the execution of conventional machine learning algorithms such as principal component analysis (PCA), K-Means, K-Medians, and Support Vector Machines (SVM). Critical emphasis is placed on solving NP-Hard problems using quantum mechanisms for addressing real-time problems. This chapter helps readers to implement quantum approaches for applying machine learning algorithms in large-scale systems. This chapter deals with the main concepts in understanding quantum computing for machine learning systems, and major algorithms and foundations have been discussed for better understanding of quantum computing in machine learning.

DOI
10.1201/9781003429654-10

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The rise of machine learning algorithms in multidisciplinary areas is inevitable. Quantum computers are a significant recent area of development where complex algorithms can be efficiently executed for better performance. Implementing complex algorithms in quantum machines for hardware support systems is escalating due to the emergence of robotics and automated systems in all domains. The acceleration of artificial systems in hardware-based systems requires special approaches, and quantum approaches are more successful in devising accelerated hybrid systems. This chapter mainly deals with the approaches to implementing machine learning algorithms using quantum computing. The chapter was initiated with the question: “Why is quantum computing required to implement machine learning algorithms?” The major hiccup in implementing any machine learning algorithm in classical systems is the complexity of the algorithms. High dimensionality is a curse in implementing machine learning algorithms in classical systems. Quantum computing is a rescuing angel to address the issue of high dimensionality using parallelism. Quantum mechanics is well-versed in generating counterintuitive patterns. The deep learning paradigms identify the data patterns and vice versa by generating similar patterns. Classical machine learning suffers by generating patterns from the quantum of data or information, whereas the quantum mechanism succeeds by implementing the same algorithm using the quantum mechanism. The potential of the quantum mechanism to overcast some of the specific problems by its implementation strategy is called quantum potential, and the strategy used to increase the quantum potential is called the quantum algorithm. The chapter deals with the complexity of quantum computing mechanisms while implementing machine learning algorithms as the prima facie. Following the complexity analysis, usage of feature maps and extraction in the quantum mechanism is discussed for a clear understanding. Quantum embedding techniques are discussed prior to algorithms used to implement machine learning in quantum computers. The remaining sections of the chapter introduces Deutch-Jozsa, HHL, QUBO quantum mechanism-based algorithms and the execution of conventional machine learning algorithms such as principal component analysis (PCA), K-Means, K-Medians, and Support Vector Machines (SVM). Critical emphasis is placed on solving NP-Hard problems using quantum mechanisms for addressing real-time problems. This chapter helps readers to implement quantum approaches for applying machine learning algorithms in large-scale systems. This chapter deals with the main concepts in understanding quantum computing for machine learning systems, and major algorithms and foundations have been discussed for better understanding of quantum computing in machine learning.
Machine Learning (ML) has been extensively utilized in various scientific and engineering domains. But the inherent constraints and computational complexity that arise in classical machine learning are particularly evident when dealing with large-scale, high-dimensional datasets or when attempting to solve intricate optimisation problems. Quantum systems exhibit unconventional patterns that are typically not effectively generated by traditional systems and can also tackle high dimensional and large size datasets efficiently. Therefore, it is believed that quantum computing systems may outperform traditional computing devices in machine learning tasks. Quantum Machine Learning (QML) has emerged as a rapidly developing field that combines the concepts of quantum mechanics and machine learning to solve complex problems across various disciplines. The domain of quantum machine learning investigates the development and execution of quantum software with the potential to facilitate machine learning at a much superior pace compared to traditional computers. However, the major challenges encountered are hardware limitations, noise, and development of quantum algorithms. The objective of this paper is to provide an insight on the foundational principles, essential algorithms, various associated platforms, potential applications and challenges being faced by QML. As data continues to grow in size and complexity, together with the emergence of nonlinear and high-dimensional real-world situations, the computing benefits offered by QML have the potential to facilitate significant advancements in the fields of healthcare, finance, robotics, logistics, communication, and cyber security. This paper presents the basis for future research work related to development of quantum algorithms in the domain of machine learning.
In this chapter and the next one, we will explore the exciting areas of quantum machine learning and quantum deep learning. Machine learning and deep learning have seen great success in recent years because of the increase in the computational power at our disposal and because of the high-end research in these fields. Quantum machine learning presents an exciting opportunity to increase the computational efficiency of the existing machine learning algorithms as well as presents a way to tackle some of the more computationally intractable problems. In this chapter, we start with the Harrow-Hassidim-Lloyd algorithm, popularly known as HHL, which acts as the matrix inversion routine in the quantum computing domain. Hence, HHL will be the default choice for algorithms such as linear regression and least square support vector machines. Subsequently, we touch upon quantum linear regression and support vector machines in detail in this chapter. We will then move on to implementing quantum routines such as quantum dot product and quantum Euclidean distances since they are integral to several machine learning algorithms such as the k-means clustering and nearest neighbor methods. In this regard, we will implement the k-means clustering method in detail. Also, we will discuss how Grover’s algorithm can be used to optimize quantum objectives by illustrating its usage in the cluster assignment in the k-means algorithm. Principal component analysis is an important machine learning technique, and we will walk through its quantum implementation in great detail as well.
Quantum computing has been proven to excel in factorization issues and unordered search problems due to its capability of quantum parallelism. This unique feature allows exponential speed-up in solving certain problems. However, this advantage does not apply universally, and challenges arise when combining classical and quantum computing to achieve acceleration in computation speed. This paper aims to address these challenges by exploring the current state of quantum machine learning and benchmarking the performance of quantum and classical algorithms in terms of accuracy. Specifically, we conducted experiments with three datasets for binary classification, implementing Support Vector Machine (SVM) and Quantum SVM (QSVM) algorithms. Our findings suggest that the QSVM algorithm outperforms classical SVM on complex datasets, and the performance gap between quantum and classical models increases with dataset complexity, as simple models tend to overfit with complex datasets. While there is still a long way to go in terms of developing quantum hardware with sufficient resources, quantum machine learning holds great potential in areas such as unsupervised learning and generative models. Moving forward, more efforts are needed to explore new quantum learning models that can leverage the power of quantum mechanics to overcome the limitations of classical machine learning.
Quantum Machine Learning (QML) is a new discipline that unites artificial intelligence and quantum computing and can address computational problems of big data analysis. Traditional machine learning algorithms may be pushed to their limits in dealing with the increased complexity and scale of today's data sets and thus are unable to find useful insights within a reasonable time frame. Quantum computing, capable of tapping quantum mechanical processes like superposition and entanglement, is capable of turning this field upside down. In this paper, the concepts behind quantum computing are discussed and how machine learning could be used using the assistance of quantum algorithms in order to better deal with big data. It explains the most optimal quantum algorithms like Quantum Support Vector Machines (QSVM), Quantum Principal Component Analysis (QPCA), and Quantum k-Means Clustering, and why they are better and faster compared to their classical counterparts. It also explores actual applications in medicine, finance, and artificial intelligence. It also addresses the limits and disadvantages of existing quantum technology like hardware limitations, noise, and complexity of algorithms. Last but not least, it also considers the future direction of trends within the field, with emphasis placed on hybrid quantum-classical systems and quantum machine learning application within the construction of big data analysis.
Quantum computing has emerged as a radical paradigm of computationally tasks which cannot be achieved through classical systems. Quantum Computer-Assisted Machine Learning (Quantum Machine Learning) The use of quantum mechanics and principles of artificial intelligence, such that the quantum mechanics principles of superposition, entanglement and tunnelling are used to improve pattern recognition. Big data dimensions, exponential growth feature space, optimization bottlenecks will not be effectively handled using currently available machine learning algorithms. It is anticipated that QML will deliver factors-of-four to exponential training and inference gains, especially on high-performance pattern recognition tasks in on-the-edge applications, including image processing, natural language processing, and cybersecurity. This is a review article of quantum machine learning (high-performance pattern recognition). It studies some of the underlying paradigms of quantum support vector machine (QSVMs), quantum k-means clustering, variational quantum circuits (VQCs) and quantum-classical deep learning systems. The benefits of QML are addressed in relation to scalability, generalization, and resilience of high dimensional data space. Such use cases include biomedical imaging, business fraud, and material discovery. The QML does have several opportunities, but is restricted by noisy intermediate-scale quantum (NISQ) machines and error correction costs, and cannot be as easily co-located with classical pipes. Another objective of this paper is to discover the significance of the hybrid quantum-classical models that are the most realistic line of attack today, to the application of quantum techniques. The next line of research is hardware-efficient algorithms, quantum feature maps, and practical benchmarking of QML. The quantum computing-artificial intelligence interface can be the new frontier to highly-performing, scaled-out, and efficient pattern recognition systems in data-focused industries, QML may become the future of computation.
Quantum computing, with its foundational principles of superposition and entanglement, has the potential to provide significant quantum advantages, addressing challenges that classical computing may struggle to overcome. As data generation continues to grow exponentially and technological advancements accelerate, classical machine learning algorithms increasingly face difficulties in solving complex real-world problems. The integration of classical machine learning with quantum information processing has led to the emergence of quantum machine learning, a promising interdisciplinary field. This work provides the reader with a bottom-up view of quantum circuits starting from quantum data representation, quantum gates, the fundamental quantum algorithms, and more complex quantum processes. Thoroughly studying the mathematics behind them is a powerful tool to guide scientists entering this domain and exploring their connection to quantum machine learning. Quantum algorithms such as Shor’s algorithm, Grover’s algorithm, and the Harrow–Hassidim–Lloyd (HHL) algorithm are discussed in detail. Furthermore, real-world implementations of quantum machine learning and quantum deep learning are presented in fields such as healthcare, bioinformatics and finance. These implementations aim to enhance time efficiency and reduce algorithmic complexity through the development of more effective quantum algorithms. Therefore, a comprehensive understanding of the fundamentals of these algorithms is crucial.