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ФИЗИКА ЭЛЕМЕНТАРНЫХ ЧАСТИЦ И АТОМНОГО ЯДРА

Новая математика — движущая сила вычислительных наук

A. V. Bogdanov, Александр Борисович Дегтярев, Vladimir V. Mareev, А. В. Богданов

Published Jun 20, 2024• 0 citations
OpenAlex

Abstract

The situation with the applications of quantum computers is analyzed and a conclusion is made about the need to develop quantum computing regardless of the development of the corresponding computing base. Particularly highlighted is the role of new mathematics associated with functional integrals as a means for quantum computing. The problems of the Feynman formulation are described and it is shown how to construct an approach that allows the generation of quantum algorithms. The prospects of this approach for creating a qualitative theory of partial differentialequations are indicated.

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The situation with the applications of quantum computers is analyzed and a conclusion is made about the need to develop quantum computing regardless of the development of the corresponding computing base. Particularly highlighted is the role of new mathematics associated with functional integrals as a means for quantum computing. The problems of the Feynman formulation are described and it is shown how to construct an approach that allows the generation of quantum algorithms. The prospects of this approach for creating a qualitative theory of partial differentialequations are indicated.
Abstract The situation with the success of quantum computers is analyzed and a conclusion is made about the need to develop quantum computing regardless of the development of the corresponding computing base. Particularly highlighted is the role of new mathematics associated with functional integrals as a means for quantum computing. The problems of the Feynman formulation are described and it is shown how to construct an approach that allows the generation of quantum algorithms. The prospects for this approach for creating a qualitative theory of partial differential equations are indicated.
Background. The relevance of the study is due to the fact that today one of the most serious fundamental challenges for technology companies is that the needs for computing power are constantly growing. The business environment is increasingly moving towards a new computing paradigm. Quantum technologies may be one of the answers to this challenge. The purpose of the study is to assess the current state of quantum computing and determine the direction of development of this area, as well as obstacles and limitations in the use of quantum technologies. Materials and methods. The empirical basis of the study was research from the AIRI Institute of Artificial Intelligence, as well as research from CaixaBank, TotalEnergies, Quantinuum, authors B.G. Ibrahimov, A.O. Orujov, A.H. Hasanov, K.M. Tahirova in the article "Research and analysis efficiency fiber optical communication lines using quantum technology". Results. The author of this study presents the main advantage of quantum computing, noting that they are based on completely different principles than traditional ones, and will use their own hardware and mathematical base. The study presents the results of research and experiments in the field of quantum computing achieved by oil companies. The work done and the experience gained made it possible to formulate the key challenges for the development of quantum computing in industrial companies. Conclusions. The practical significance of this research lies in the fact that it will allow the business community, as well as government authorities, to develop a development strategy in the new computing paradigm. Will allow companies to develop effective strategies when solving optimization problems and advanced computing architectures.
The applied and theoretical aspects of quantum-cryptographic technologies are considered. The inter­related elements that make up the concept and content determined by the application of quantum cryptog­raphy are analyzed. The systematic analysis of quantum algorithms, quantum cryptography and quantum hashing are presented. The development of specialized quantum computers, focused on solving crypto­graphic problems is justified. The forecast of development of the field of quantum communication is done. The immediate prospects for the development of means of quantum cryptographic key distribution, quantum communication channels, channels of communication based on quantum teleportation, quantum networks of high-precision synchronization for secure management systems are highlighted. The independent signifi­cance of quantum random number generation is noted.
Nowadays the actual problem of creating a quantum computer that allows solving practical problems has not been fully resolved. One of the tasks on the way to creating quantum computers is called the development of quantum algorithms, which can be solved using existing computers. The basis for the development of quantum algorithms is the simulation of the operation of a quantum circuit. The results of that work are used to analyze the quantum computing algorithm providing information support in the development of the quantum computer architecture as well. This article analyzes the effectiveness of methods for modeling quantum computing using various tools, based on experimental data. As a result of the analysis, a conclusion was made about the most effective way to simulate quantum computing.
Quantum computing is rapidly evolving as a paradigm that promises to solve complex computational problems far beyond the capabilities of classical systems. This article explores the current challenges facing quantum computation, particularly in algorithm development, error correction, and hardware scalability. The paper also outlines the prospects of next-generation quantum algorithms, especially those applicable to cryptography, optimization, and machine learning. Recent advances in quantum error mitigation and hybrid quantum-classical models are reviewed, emphasizing the transition from theoretical constructs to practical deployment. This study aims to bridge the gap between quantum algorithm research and its implementation, offering insights into the interdisciplinary efforts needed to make quantum advantage a reality.
Quantum computers are one of the most interesting and promising areas of modern information technology. With their help, solving complex problems is performed several times faster than on traditional computers. The development of this technology allows not only to expand the boundaries of computing, but also to revise all areas of scientific research in a new way. This article analyzes the theoretical foundations of quantum computers, the level of their development, prospects, and influence on modern science and technology.