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Applied and Computational Engineering

The fundamental theory of quantum computing, applications in practical fields, and future challenges

Shengyu Hung

Published Oct 23, 2023• 1 citation
Publisher

Abstract

Building on the fundamental principles of quantum computing, this paper sequentially presents the development of quantum computing and its associated application domains. We also analyze and compare the differences between quantum and classical computing, highlighting the benefits of quantum computing for specific problems. To comprehend the advantages of quantum computing in particular fields, extensive research has been conducted in three areas: cryptography, chemistry, and artificial intelligence. We also discuss the wider applications of this emerging technology for future investigation, considering the current state of quantum computing development and anticipated trends.

DOI
10.54254/2755-2721/18/20230976

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Building on the fundamental principles of quantum computing, this paper sequentially presents the development of quantum computing and its associated application domains. We also analyze and compare the differences between quantum and classical computing, highlighting the benefits of quantum computing for specific problems. To comprehend the advantages of quantum computing in particular fields, extensive research has been conducted in three areas: cryptography, chemistry, and artificial intelligence. We also discuss the wider applications of this emerging technology for future investigation, considering the current state of quantum computing development and anticipated trends.
Quantum computing represents a fundamentally different computational paradigm that harnesses quantum mechanical phenomena to process information in ways that classical computers cannot efficiently replicate. This paper provides an accessible introduction to quantum computing for IT professionals and developers seeking to understand the technology's principles, current state, and practical implications. The paper covers the foundational concepts of qubits, superposition, entanglement, and quantum gates, followed by an examination of prominent quantum algorithms and their applications. A comparative analysis of current quantum hardware approaches, including superconducting circuits, trapped ions, and photonic systems, contextualizes the engineering challenges that remain. The paper also addresses the implications of quantum computing for cryptography and outlines the emerging field of post-quantum cryptography. Market analysis and industry investment patterns suggest that while general-purpose quantum advantage remains years away, specific domain applications in chemistry, optimization, and financial modeling are approaching practical viability.
Quantum computing is an advanced computational paradigm that leverages principles of quantum mechanics, including superposition, entanglement, and interference, to process information more efficiently than classical systems [1][2]. Unlike classical bits, qubits can exist in multiple states simultaneously, enabling exponential computational capabilities for complex problem-solving. Since its theoretical foundations proposed by Richard Feynman and further developed by David Deutsch, quantum computing has progressed into an active research and industrial domain [2][3]. This paper presents an overview of the core concepts of quantum computation, technological evolution, and key algorithms such as Shor’s and Grover’s, which demonstrate significant computational advantages [9][10]. It also explores major application areas including cryptography, healthcare, artificial intelligence, and optimization, while addressing critical challenges such as decoherence, error correction, and scalability [5][6]. The study highlights future prospects, emphasizing the potential of quantum computing to transform scientific and industrial domains [12][15].
Quantum computing represents a new paradigm in computation that exploits the principles of quantum mechanics to solve complex problems beyond the practical capabilities of classical computers. By utilizing qubits, superposition, entanglement, and quantum interference, quantum computers have the potential to revolutionize cryptography, optimization, drug discovery, artificial intelligence, financial modeling, and materials science. Although remarkable progress has been achieved in quantum hardware and algorithms, significant challenges remain, including qubit stability, error correction, scalability, high implementation costs, and limited practical applications. This paper presents the fundamental principles of quantum computing, explores its major applications, examines current limitations, and discusses future research directions.
ABSTRACT Quantum computing represents a fundamental shift in the way computational problems are approached and solved. Unlike classical computing systems that rely on binary bits to process information, quantum computing utilizes quantum bits, or qubits, which exploit principles of quantum mechanics such as superposition and entanglement. This transition from classical bits to qubits has opened new possibilities for solving complex problems that are computationally infeasible for traditional systems. This paper explores the evolution of computing paradigms from classical architectures to quantum-based models, highlighting the theoretical foundations and technological advancements that have driven this transformation. It discusses the core concepts of quantum computing, including qubit representation, quantum gates, and computational models, along with an overview of current quantum hardware architectures. Furthermore, the paper examines key application areas such as cryptography, optimization, artificial intelligence, and scientific simulations, where quantum computing demonstrates significant potential. Despite its promise, quantum computing faces substantial challenges related to hardware stability, error correction, scalability, and resource requirements, which are also analyzed. Finally, the paper outlines future research directions and the potential impact of quantum computing on next-generation information processing systems, emphasizing its role in redefining the boundaries of modern computation. Keywords : Quantum Computing, Qubits, Quantum Algorithms, Quantum Applications, Future Computing Technologies
Quantum technology has recently emerged as a transformative computing paradigm. It is based on fundamental principles of quantum mechanics such as superposition, interference, and entanglement. This technology executes high computations that are impracticable by traditional computers. In recent years, developments in quantum technologies i.e algorithms, machine learning, cryptography, hardware design, and hybrid quantum classical frameworks have accelerated research and industrial interest. This paper provides a comprehensive review of quantum computing. It covers fundamental concepts, mathematical foundations, quantum algorithms, hardware platforms. It also focusses important applications, challenges, and emerging trends. The paper concludes with future research directions & the transformative potential of quantum technologies in computing, cryptography, optimization, and artificial intelligence.
Abstract Advances in quantum technologies have prompted renewed interest in computational models that extend beyond the capabilities of classical systems. Quantum computing, grounded in the principles of quantum mechanics, introduces novel mechanisms for information processing that challenge conventional assumptions in computer science. This paper critically examines the role of quantum computing across core computer science domains by integrating foundational theory with application-oriented research. Existing studies in cryptography, optimization, artificial intelligence, database search, and system simulation are analyzed to assess both demonstrated capabilities and practical constraints. The discussion emphasizes the increasing relevance of hybrid quantum–classical approaches in the current technological landscape, while identifying key limitations related to scalability, noise, and algorithmic feasibility. By consolidating theoretical insights with applied perspectives, this work provides a realistic assessment of the present state of quantum computing and outlines research directions essential for its effective integration into future computational systems.