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Journal of Condensed Matter

Classical and Quantum Computing modalities - A Review

Rajni

Published Mar 3, 2025• 1 citation
Publisher

Abstract

Quantum computers generally need to operate under more regulated physical condition than classical computer because of quantum mechanics. Classical computer uses bits and quantum computer use qubits. According to IBM, “Groups of quits in superposition can create complex, multidimensional computational spaces” that enable more complex calculations. Quantum algorithms like Shor’s and Grover’s run significantly faster than various algorithms for classical computer. Quantum entanglement offers fascinating opportunities for enhancing AI algorithms through improved computational efficiency. But practical implementation remains challenging due to technical limitations and the need for further research in the field of quantum machine learning. This article provides a brief overview of different quantum computing methods.

DOI
10.61343/jcm.v2i02.72

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Quantum computers generally need to operate under more regulated physical condition than classical computer because of quantum mechanics. Classical computer uses bits and quantum computer use qubits. According to IBM, “Groups of quits in superposition can create complex, multidimensional computational spaces” that enable more complex calculations. Quantum algorithms like Shor’s and Grover’s run significantly faster than various algorithms for classical computer. Quantum entanglement offers fascinating opportunities for enhancing AI algorithms through improved computational efficiency. But practical implementation remains challenging due to technical limitations and the need for further research in the field of quantum machine learning. This article provides a brief overview of different quantum computing methods.
Quantum computing, based on the fundamental principles of quantum mechanics, has become a breakthrough that has the potential to revolutionize computing. At the forefront of this quantum revolution are quantum algorithms that use the origin of qubits to solve computational problems much faster than classical algorithms. This article provides a review of quantum algorithms to introduce their principles, examine famous examples such as the Grover and Shor algorithms, and delve into their applications, including quantum machine learning. Exploring the fundamentals of quantum computing begins with an overview that highlights the unique features of quantum computing compared to classical computing. We then examine several different algorithmic paradigms to highlight the unique advantages that quantum parallelism and interference bring to computing. The best knowledge of quantum algorithms focuses on Grover's blind search, Shor's efficient factorization algorithm, and the quantum phase approach for solving quantum chemistry and eigenvalue problems. As well as celebrating the achievements of quantum algorithms, this research also looks at the challenges and limitations that hinder their widespread use. Topics such as decoherence, error correction, and finding errors in quantum computing are discussed in the context of overcoming obstacles to the use of practical quantum algorithms. In addition, the latest developments are clarified by showing the successes of the experiments and their implications for the future. As we stand at the forefront of a new era in computing, this article not only provides a snapshot of the current state of quantum algorithms but also speculates on future directions. The potential applications of quantum algorithms in many fields and the ongoing quest to overcome current limitations offer exciting opportunities for further research. This research aims to contribute to the ongoing debate about quantum algorithms, gaining a deeper understanding of their impact on the future of computing.
Abstract Contemporarily, quantum computing has become a popular topic, which is a new approach that is different from classic computing. To be specific, it can deal with information by using mathematical modeling that used to represent quantum mechanics, including superposition, interference, and entanglement. In quantum Computing, information is storage in ‘qubit’, whereas classic computer use bit to store information. This article aims to introduce the principles and some algorithms of quantum computing, and then discuss some up-to-date important development. There are two important algorithms are mentioned in this article, Grover’s algorithms and Shor’s algorithms. According to the analysis, Grover’s algorithms is potentially faster than classic algorithms. However, it requires millions of qubits to make it. Besides, Shor’s algorithms have challenged classic encryption (RSA encryption). Two quantum computer Google Sycamore and Jiuzhang are also mentioned here. The interesting thing is, for some specific question, Jiuzhang performed better than classic computers. Finally, it is found out that the quantum computing is generally slower that classic computer now, due to the restriction of qubit numbers. However, quantum computing still has an advantage in some specific question. These results shed light on guiding further exploration of quantum computer designing.
Quantum computing represents a revolutionary leap in computational power, leveraging the principles of quantum mechanics to process information in fundamentally new ways. Unlike classical computers, which use bits to represent data as 0s or 1s, quantum computers use quantum bits or qubits, enabling the phenomena of superposition and entanglement to perform complex calculations more efficiently (Nielsen & Chuang, 2010). This article explores the basic principles of quantum computing, the different models and algorithms that have been developed, and the current state of quantum hardware. The power of quantum computing lies in its ability to solve certain types of problems exponentially faster than classical computers. For instance, Shor's algorithm can factorize large integers in polynomial time, posing a significant threat to classical encryption methods (Shor, 1997). Similarly, Grover's algorithm provides a quadratic speedup for unstructured search problems, showcasing the potential for dramatic improvements in database search capabilities (Grover, 1996). These algorithms exemplify how quantum computing can revolutionize fields that rely on complex computations. Quantum hardware, however, is still in its nascent stage, with significant challenges to be overcome. Current quantum computers, such as those developed by IBM and Google, have demonstrated quantum supremacy but are limited by issues of qubit coherence and error rates (Arute et al., 2019). Quantum error correction and the development of more stable qubit technologies are critical areas of ongoing research (Preskill, 2018). Despite these challenges, recent advancements in quantum hardware and algorithms continue to drive the field forward, promising transformative impacts on industries such as cryptography, drug discovery, and artificial intelligence. As quantum computing continues to advance, it holds the promise of solving problems that are currently intractable for classical computers, paving the way for unprecedented technological and scientific advancements (Shor, 1997; Grover, 1996). This article provides a comprehensive overview of the current landscape of quantum computing, discussing its foundational principles, key algorithms, hardware challenges, and potential applications. By understanding these aspects, we can better appreciate the profound implications of quantum computing for the future of technology and science.
Quantum computing is a revolutionary field that promises to provide computational advantages that classical computers cannot achieve. This article delves into the intersection of quantum computing and its potential applications in machine learning (ML) and data science. By leveraging quantum mechanics, quantum computers can solve complex problems faster and more efficiently than traditional machines. The article explores key quantum algorithms, including Grover's algorithm and Shor's algorithm, and their potential to enhance the performance of ML models and data processing tasks. Furthermore, it provides a critical review of the ongoing research in quantum-enhanced machine learning (QML) and quantum data science (QDS), highlighting the challenges and future opportunities for integration into practical applications.
The field of quantum computing is in the midst of a period of transformation as a result of the recent discovery of quantum entanglement. It is designed to perform computations that classical computers cannot handle since it is based on and operates in compliance with the rules of quantum mechanics. Because it operates on certain premises, it enables this to happen. Quantum bits, also known as qubits, have the unique ability to represent many states at once, unlike their conventional analogues. However, classical bits can only take on the values 0 or 1, and no other values in between. Quantum bits are capable of existing in a wide variety of states simultaneously. As a result of their unique ability to explore multiple solutions at once, quantum computers have the potential to dramatically boost the processing speed with which certain problems may be solved. Furthermore, qubits can show entanglement, in which the state of one qubit becomes intertwined with the state of another qubit, even if the qubits are separated by a great distance. Quantum entanglement describes this strange occurrence. This entanglement provides the way for the creation of new algorithms and enhanced computing power by simplifying the execution of complex interactions. Although difficulties like qubit stability and error correction must be overcome, quantum computing has the potential to revolutionize many different areas, including cryptography, optimization, and scientific discovery. Although significant strides have been made, the implementation of large-scale quantum computers remains in its infancy, necessitating ongoing research and development.
Quantum Computing is the technology of the future that could revolutionize today's computing and security. Quantum computers able to run complex calculations faster than classical computers, thanks to the principles of quantum mechanics, such as superposition, entanglement and quantum parallelism. In this paper, authors give an extensive overview of quantum computing and its application in cybersecurity. It introduces basic concepts of quantum computing such as qubits, quantum gates, quantum circuits, and highlights of some of the important quantum algorithms like Shor's algorithm and Grover's algorithm. The research also covers the use of quantum computing in improving cybersecurity by leveraging post-quantum cryptography, quantum machine learning, network security, and quantum intrusion detection systems. Furthermore, the paper explores the key challenges and limitations of quantum technologies, such as scalability, fault tolerance, quantum noise, and security concerns. Additionally, a comprehensive literature survey of the latest developments and research works of quantum computing and quantum security are given. The results show the potential of quantum computing to enhance cyber security, but also highlight the challenges that will need to be addressed in the future, as quantum computers become increasingly common and powerful.