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Journal of Mathematical & Computer Applications

An Overview of Quantum Computing's Potential to Solve Complex Problems

Syeda Kawsar -

Published Dec 28, 2022• 0 citations
Publisher

Abstract

Quantum computing is necessary to be described as a powerful tool is the new generation of computational power that works based on the principles of quantum mechanics, allowing the solving of problems that are intractable for classical computers. Due to the utilization of such phenomena as superposition, quantum entanglement and quantum interference, quantum computers are said to be able to solve problems in such areas as cryptography, artificial intelligence, optimization problems and material sciences, among others. This paper attempts to examine the basic concepts of quantum computing while focusing on their different aspects and their potential impacts. This study its experience and potential in its current form and in future applications through examples, illustrations, and theoretical discussion. Specific problems, including error correction, hardware scalability, and requirements for resources to address, make the paper a comprehensive overview of the quantum computing potential and weaknesses. Moving towards practical examples, the discussion covers all aspects of the book, providing readers with a holistic understanding of how quantum computing is going to change technological paradigms in the forthcoming decades.

DOI
10.47363/jmca/2022(1)e163

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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.
Quantum computing represents a revolutionary paradigm shift in data processing, promising to revolutionize industries, solve complex computational problems, and propel scientific discovery to unprecedented heights. This research paper provides a comprehensive overview of the current state of quantum computing technology, its basic principles, and applications. The article begins by explaining the basic principles of quantum mechanics, introducing key concepts such as superposition and entrainment that underlie the enormous computing power of quantum computers. The discussion of quantum bits, or qubits, highlights the unique properties of quantum computers that allow them to perform tasks much faster than classical computers. Research papers cover various quantum computer architectures, gate-based quantum computers, adiabatic quantum computers, and quantum annealing devices. Explores challenges and advances in hardware with attention to quantum error correction and quantum breakthroughs. In addition, this paper explores various quantum algorithms and their applications in domains such as cryptography, optimization, material science, and drug discovery. It reviews progress in algorithm development and emphasizes the practical implications of quantum computing for solving real-world problems. Additionally, the research document examines the current state of the Quantum Computing industry and highlights the key players and their contributions to the field. It also touches on the economic and ethical implications of quantum computers, considering security issues and implications for existing computing paradigms. In summary, this comprehensive review reveals the transformative potential of quantum computers and offers valuable insights into current opportunities, challenges, and future prospects. As quantum computing advances, this paper serves as a valuable resource for researchers, policymakers, and industry leaders who want to understand and harness the power of quantum computing.
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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 computing leverages quantum mechanical concepts, including superposition, entanglement, and interference, to solve problems that traditional computers cannot handle efficiently. This study presents a comprehensive overview of the field, covering both the theoretical foundations and the latest developments in quantum hardware and algorithms. This study covers fundamental elements, qubits, gates, and circuits while emphasizing quantum parallelism as a distinctive feature. To illustrate efficiency gains, we explore notable algorithms like Shor’s factorization procedure and Grover’s search algorithm. Furthermore, we analyze recent advancements in quantum hardware, focusing on superconducting qubits, trapped ions, and photonic quantum computers, with an emphasis on implementations by IBM, Google, and other industry leaders. The discussion also addresses major challenges such as decoherence, noise, and the need for quantum error correction to achieve fault tolerance. Finally, we explore emerging applications in cryptography, optimization, quantum machine learning, and material simulation, and identify critical open problems that must be addressed to realize scalable, universal quantum computing. Our review underscores the transformative potential of quantum technologies across science and industry.