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A Survey of Quantum Computing: Foundations, Challenges, and Emerging Directions

Marwa R. Hassan, Taha M. Mahmoud, Naima Kaabouch

Published Feb 27, 2026• 0 citations
Publisher

Abstract

Quantum computing represents a transformative shift in computational paradigms by leveraging quantum mechanical phenomena such as superposition, entanglement, and quantum interference. Unlike classical computers, which rely on binary logic, quantum systems exploit these principles to solve certain problems more efficiently. This survey presents a comprehensive overview of the field, drawing from extensive literature spanning foundational quantum principles through key quantum algorithms, hardware platforms, and programming tools. The analysis bridges theoretical foundations with practical engineering challenges, examining both current capabilities and fundamental limitations of quantum systems. The paper also explores applications in cryptography, optimization, and quantum simulation, while addressing the ethical implications and long-term prospects of quantum technologies. Distinct from prior surveys, this work provides a unified perspective that connects quantum theory to practical implementation, supporting researchers and students in navigating the evolving landscape of quantum computing.

DOI
10.36227/techrxiv.177223090.01125198/v1

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Quantum computing represents a transformative shift in computational paradigms by leveraging quantum mechanical phenomena such as superposition, entanglement, and quantum interference. Unlike classical computers, which rely on binary logic, quantum systems exploit these principles to solve certain problems more efficiently. This survey presents a comprehensive overview of the field, drawing from extensive literature spanning foundational quantum principles through key quantum algorithms, hardware platforms, and programming tools. The analysis bridges theoretical foundations with practical engineering challenges, examining both current capabilities and fundamental limitations of quantum systems. The paper also explores applications in cryptography, optimization, and quantum simulation, while addressing the ethical implications and long-term prospects of quantum technologies. Distinct from prior surveys, this work provides a unified perspective that connects quantum theory to practical implementation, supporting researchers and students in navigating the evolving landscape of quantum computing.
Quantum computing is an emerging paradigm that leverages the principles of quantum mechanics to solve computational problems beyond the reach of classical computers. This article provides an overview of the fundamental concepts of qubits, the distinctive features of quantum mechanics such as superposition and entanglement, and the challenges of building scalable, fault-tolerant systems. It surveys key quantum algorithms and their potential applications in fields including cryptography, optimization, finance, chemistry, and machine learning. Additionally, it highlights the importance of verification frameworks for ensuring the reliability of quantum programs. A literature review of significant contributions is presented, drawing insights from recent surveys on quantum algorithms, qubit technologies, and software verification approaches. The article concludes by discussing ongoing challenges, such as error correction overhead, hardware scalability, and verification complexity, and suggests directions for future research.
Quantum computing represents a transformative shift in computational technology, leveraging the principles of quantum mechanics to process information in ways that surpass the limits of classical systems.By exploiting qubits, superposition, entanglement, and quantum parallelism, quantum computers offer the potential to solve certain classes of problems-such as optimization, cryptography, molecular simulation, and complex machine learning tasks-significantly faster than classical algorithms.With rapid advancements in quantum hardware and the emergence of Noisy Intermediate-Scale Quantum (NISQ) devices, quantum computing has evolved from a theoretical concept to a practical field with growing industrial and scientific relevance.Although current systems face challenges related to error rates, decoherence, and scalability, ongoing developments in quantum error correction, hybrid quantum-classical algorithms, and software frameworks like Qiskit, Cirq, and PennyLane continue to push the field forward.This paper provides an introductory overview of quantum computing, outlining its foundational principles, current technological landscape, key algorithms, and future research directions.The goal is to offer a clear understanding of how quantum computing is poised to reshape the future of computation.
Quantum computing, grounded in the principles of superposition and entanglement, has emerged as a revolutionary paradigm with the potential to outperform classical systems in specific computational tasks. This paper presents a comprehensive survey of the foundational concepts, algorithmic developments, hardware architectures, and programming ecosystems in quantum computing. We analyze the current progress in key application areas such as cryptography, machine learning, optimization, and quantum chemistry. Furthermore, we review recent advances between 2023 and 2025, including developments in fault-tolerant architectures and quantum error correction. The paper also discusses the significant technical challenges that hinder large-scale practical deployment, including qubit scalability, decoherence, and programming limitations. By synthesizing literature across disciplines, this review aims to provide a holistic understanding of the quantum computing landscape and outline critical directions for future research and integration with classical systems.
Quantum computing represents a transformative paradigm that exploits the principles of quantum mechanics—superposition, entanglement, and quantum interference—to perform computations beyond the capabilities of classical computers. This review presents a comprehensive overview of the fundamental concepts underlying quantum computation, including qubits, quantum gates, quantum algorithms and measurement theory. It further examines major physical implementations of quantum computers, such as superconducting circuits, trapped ions, photonic systems, spin-based qubits, and topological approaches, highlighting their operational principles, advantages, and technological limitations. Key challenges hindering large-scale quantum computation—decoherence, error rates, qubit scalability, and fault tolerance—are critically discussed. Additionally, recent progress in quantum error correction, hybrid quantum–classical algorithms, and hardware optimization is summarized. The review concludes by outlining future research directions and potential applications of quantum computing in cryptography, materials science, optimization, and drug discovery. By integrating theoretical foundations with experimental advancements, this article aims to provide a clear and accessible reference for students, researchers, and scientists entering the rapidly evolving field of quantum computing.
Quantum computing represents a transformative shift in computational paradigms, offering unprecedented potential for solving complex problems beyond the reach of classical computers. This paper explores the theoretical foundations of quantum computing, including quantum bits (qubits), superposition, entanglement, and quantum gates, and examines their implications for computation. Utilizing a qualitative approach, this study conducts a comprehensive literature review and library research to analyze the current state of quantum computing technology, its applications, and the challenges it faces in practical implementation. The findings reveal significant advancements in quantum algorithms, such as Shor's and Grover's algorithms, which demonstrate the capability of quantum computing to revolutionize fields like cryptography, optimization, and materials science. However, the research also highlights the technical challenges, including qubit stability, error correction, and scalability, which must be addressed to transition from theoretical models to practical applications. Additionally, the study discusses the ethical and societal implications of quantum computing, particularly in relation to data security and privacy. The paper concludes by outlining future research directions and potential real-world applications, emphasizing the need for interdisciplinary collaboration to fully realize the potential of quantum computing in solving some of the most pressing global challenges.
Quantum computing has emerged as a paradigm-shifting computational model capable of addressing problems intractable for classical systems. This chapter explores the foundational principles, hardware implementations, and algorithmic approaches that define the field of quantum computing. Key quantum mechanical phenomena – such as superposition, entanglement, and interference – are examined in relation to their computational applications. The discussion extends to qubit realization technologies including superconducting circuits, trapped ions, photonic systems, and emerging platforms like topological qubits. Core quantum algorithms, including Shor’s and Grover’s, are analyzed to demonstrate their operational mechanics and performance advantages. The chapter also presents current challenges in quantum error correction, coherence preservation, and hardware scalability, particularly in the context of noisy intermediate-scale quantum devices. Further, it highlights applications across domains such as cryptography, optimization, quantum chemistry, and machine learning. The content is supported by illustrative diagrams, comparative tables, and up-to-date research references, providing a comprehensive overview of the state of quantum computing and its future directions.