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Chinese Journal of Computers

Quantum Algorithms and Quantum-Inspired Algorithms

Yi Zhang, Kai LU, Ying-Hui GAO

Published Mar 19, 2014• 4 citations
Publisher

Abstract

With the decreasing development of the classical computation,quantum computation becomes the increasing hot topic recently.In this paper,the fundamental theory of quantum computation is briefly introduced firstly.Then,we give the state of the art of quantum computation and research principles in this field from two different research directions(quantum algorithms and quantum-inspired algorithms).At last,some trends of quantum computation in the future research are given.Through the review and prospect of the whole field,this paper could give a significant guide for the future development of quantum computation.

DOI
10.3724/sp.j.1016.2013.01835

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With the decreasing development of the classical computation,quantum computation becomes the increasing hot topic recently.In this paper,the fundamental theory of quantum computation is briefly introduced firstly.Then,we give the state of the art of quantum computation and research principles in this field from two different research directions(quantum algorithms and quantum-inspired algorithms).At last,some trends of quantum computation in the future research are given.Through the review and prospect of the whole field,this paper could give a significant guide for the future development of quantum computation.
In recent years, quantum computers have been attracting attention. Quantum computers have become a hot topic of research in today's scientific research. This paper first introduces the basic principles of quantum computers, including the storage principle and quantum logic gates, then introduces a quantum algorithm, then introduces the organization of quantum computers, and finally is a discussion that will evaluate the strengths and weaknesses of quantum computers, and discusses the physical implementation of quantum computers and the outlook on quantum computing.
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.
Contemporarily, quantum computing has emerged as a promising field, offering potential breakthroughs in various computational tasks that are currently limited by classical computing. With this in mind, this study delves into the principles of quantum computing, exploring the fundamental concept of quantum entanglement and its implications for computation. After outlining the historical development and research significance of quantum computing, this research presents an overview of the latest advancements in the field. The paper then focuses on the principles of quantum computation, including the use of qubits and quantum gates, illustrated with relevant mathematical formulations and diagrams. Furthermore, this study discusses the state-of-the-art applications of quantum computing, showcasing recent achievements and results obtained from these cutting-edge technologies. A comparative analysis with traditional algorithms highlights the advantages and potential gains offered by quantum computing. Finally, the current limitations of quantum computing are discussed and the insights into future research directions and prospects are proposed for this exciting field.
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.
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 computation, as part of the broader field of quantum information, represents an assembly of concepts and techniques that concern the nature and processing of information based on quantum mechanics. Quantum computation utilizes unique resources such as quantum superposition and quantum entanglement to encode and process information and has been proved to be dominantly advantageous over classical computation on certain important scientific and engineering problems. Potential applications of quantum computation are expected to influence future information technology and many other related fields deeply and significantly. In this article, we briefly review the history of quantum computation, including how its fundamental ideas and concepts came into being and the development of its significant theories and algorithms. We also discuss the status and outlook of several representative technical routes in this field, including superconducting quantum computation, distributed superconducting quantum computation, photonic quantum computation, trapped-ion quantum computation, silicon-based quantum computation, as well as other systems. Furthermore, by analyzing certain common issues faced by all routes, we propose some thoughts and suggestions for future development of quantum computation in China. We particularly emphasize the following: reinforcement of strategic planning at a national level, establishment of a research team of high caliber, and boost of relevant fundamental research and development of core techniques and critical instruments.