This chapter outlines the research, development and perspectives of quantum neural networks - a burgeoning new field which integrates classical neurocomputing with quantum computation [1]. It is argued that the study of quantum neural networks may give us both new understanding of brain function as well as unprecedented possibilities in creating new systems for information processing, including solving classically intractable problems, associative memory with exponential capacity and possibly overcoming the limitations posed by the Church-Turing thesis.
This chapter outlines the research, development and perspectives of quantum neural networks - a burgeoning new field which integrates classical neurocomputing with quantum computation [1]. It is argued that the study of quantum neural networks may give us both new understanding of brain function as well as unprecedented possibilities in creating new systems for information processing, including solving classically intractable problems, associative memory with exponential capacity and possibly overcoming the limitations posed by the Church-Turing thesis.
Quantum neural networks (QNNs) represent a cutting-edge approach to machine learning and artificial intelligence, harnessing the principles of quantum mechanics to process and analyze data in fundamentally new ways. Unlike classical neural networks, which operate on classical bits and are limited by the laws of classical physics, QNNs use quantum bits (qubits) and exploit quantum phenomena such as superposition and entanglement to achieve unprecedented computational power and efficiency. This chapter explores the principles and applications of QNNs, including their potential for solving complex optimisation problems, pattern recognition tasks, and quantum simulation tasks. We discuss various QNN architectures, training algorithms, and applications, highlighting their advantages and challenges compared to classical neural networks. Additionally, we explore the potential impact of QNNs on fields such as quantum computing, quantum communication, and quantum sensing, as well as their implications for society and the economy. Overall, this chapter provides insights into the emerging field of quantum neural networks and sets the stage for further research and innovation in this exciting area.
Quantum computing and neural networks have revolutionized computational intelligence and have the potential to bring revolution in a wide range of scientific, industrial, and technological fields. In some computational activities, quantum computing utilizes the concepts of superposition, entanglement, and quantum parallelism and performs better than classical computers by processing complicated data with high speed and efficiency. Neural networks have transformed decision-making, natural language processing, and pattern recognition especially deep learning models. By incorporating quantum computing into neural network architectures, Quantum Neural Networks (QNNs) open new paradigms in data encoding, feature representation, and learning dynamics by overcoming the computational constraints and scaling related problems of classical models. In this chapter, the theoretical basis, latest developments and possible applications of a quantum neural network have been discussed. This chapter covers the constraints of near-term quantum devices, quantum noise, data encoding techniques, and practical difficulties in hardware implementation. Real-world applications in quantum chemistry, financial modeling, cryptography, and biological imaging have been studied. To fully realize the promise of quantum neural processing, this chapter concludes by describing current research shortcomings and providing opportunities for multi-disciplinary collaboration among computer scientists, physicists, and AI researchers.
Neuroscience and quantum physics have a central feature in common: both disciplines study objects that largely remain a mystery to scientists. While a century after the discovery of quantum theory, physicists still struggle to interpret their quantum objects' counterintuitive behaviour, biologists are not even close to understanding the mechanisms underlying the remarkable performance of our brain. The research eld of quantum neural networks (QNNs) combines both 'mysteries' by investigating how established models of neural networks can be formulated in the language of quantum theory. Far away from the rather esoteric discourses of a 'quantum brain', QNN models rst and foremost aim at developing ecient algorithms to run on future realisations of quantum computers. QNNs thereby promise to provide a substantial speed-up or increased memory capacity relative to classical neural networks. However, beyond questions of powerful computing technology, a success in the yet relatively small eld of QNN research could give a rst hint that our brain makes use of quantum mechanics to master its incredible tasks. In that sense, QNN research can be seen as a subeld of the 'dawn' of quantum biology which evaluates the question of how nature employs quantum eects in macroscopic (i.e. hot and dense) environments to optimise its processes.
The goal of the artificial neural network is to create powerful artificial problem solving systems. The field of quantum computation applies ideas from quantum mechanics to the study of computation and has made interesting progress. Quantum Neural Network (QNN) is one of the new paradigms built upon the combination of classical neural computation and quantum computation. It is argued that the study of QNN may explain the brain functionality in a better way and create new systems for information processing including solving some classically intractable problems. In this paper we have given an introductory representation of quantum artificial neural network to show how it can be modelled on the basis of double-slit experiment. Also an attempt is made to show the quantum mechanical representation of a classical neuron to implement Hadamard transformation.
The early definition of a quantum neural network as a new field that combines the classical neurocomputing with quantum computing was rather vague and satisfactory in the 2000s. The widespread in 2020 modern definition of a quantum neural network as a model or machine learning algorithm that combines the functions of quantum computing with artificial neural networks deprives quantum neural networks of their fundamental importance. We argue that the concept of a quantum neural network should be defined in terms of its most general function as a tool for representing the amplitude of an arbitrary quantum process. Our reasoning is based on the use of the Feynman path integral formulation in quantum mechanics. This approach has been used in many works to investigate the main problem of quantum cosmology, such as the origin of the Universe. In fact, the question of whether our Universe is a quantum computer was posed by Seth Lloyd, who gave the answer is yes, but we argue that the universe can be thought of as a quantum neural network.
Quantum Neural Networks (QNNs) represent a fascinating intersection of Quantum Computing and Artificial Neural Networks.Researchers explored combining quantum computing and neural networks in the 1990s and early 2000s.Quantum Neural Networks (QNNs) combine principles from quantum computing and artificial neural networks to potentially revolutionize machine learning.QNNs are neural networks that utilize quantum computing principles, such as superposition, entanglement, and quantum parallelism, to process and transform information.With Quantum Superposition QNNs can represent complex probability distributions, allowing for more nuanced modeling of uncertainty.While with Quantum Entanglement, QNNs can capture complex correlations between inputs, enabling more accurate modeling of complex relationships.Apart of that Quantum Parallelism facilitates QNN to process multiple inputs simultaneously, potentially speeding up certain computations.QNNs can potentially solve certain problems faster than classical neural networks.QNNs can also capture complex relationships and patterns, potentially leading to improved accuracy and can provide new insights into complex systems and phenomena.QNNs hold promise for advancing machine learning and solving complex problems.Ongoing research aims to overcome challenges and unlock their full potential.Quantum-Classical hybrid approaches were introduced, combining the strengths of both paradigms.This research paper presents an exploratory and critical survey of the current status of Quantum Neural Networks, Quantum Computing, along with the potential applications of QNNs in Artificial Intelligence.