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Article title SOFTWARE DEVELOPMENT OF QUANTUM OPTIMIZATION ALGORITHM FOR SOLUTION OF THE TRAVELING SALESMAN PROBLEM
Authors S. M. Gushanskiy, V. N. Pukhovsky, V. S. Potapov
Section SECTION II. MODELING AND ALGORITHMS OF INFORMATION PROCESSING
Month, Year 07, 2018 @en
Index UDC 004.032
DOI 10.23683/2311-3103-2018-7-126-132
Abstract Recently, there has been a rapid increase interest in quantum computers. Their work is based on the use of quantum mechanical phenomena such as superposition and entanglement to convert input data into output, which can actually provide effective performance by 3 – 4 orders of magnitude higher than any modern computing device, which will solve the above and others tasks in natural and accelerated time scale. This article is devoted to solving the problem of research and development of methods for the functioning of quantum algorithms and models of quantum computing devices. The quantum algorithm implemented in the work allows to solve the traveling salesman problem with different dimensions, demonstrates the capabilities of quantum information theory in interpreting classical problems. The famous traveling problem of a traveling salesman is an important category of optimization problems that occurs in various fields of science and technology. The study of optimization problems motivates the development of advanced methods that are more suitable for modern practical problems. The relevance of these studies lies in the mathematical and software modeling and implementation of a quantum algorithm for solving classes of problems of a classical nature. What will be another step forward in the research of the elementary theoretical base of a quantum computing device and, as a result, the practical, physical implementation of this device. The scientific novelty of this area is primarily expressed in the constant updating and addition of the field of quantum research in a number of areas, and computer simulation of quantum physical phenomena and features is poorly covered in the world. The aim of the work is a computer simulation of a quantum algorithm for solving the traveling salesman problem using the phase estimation method, which allows us to estimate our own phase of a unitary gate that has gained access to a quantum state in proportion to its own vector.

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Keywords Modeling; quantum algorithm; qubit; model of a quantum computer; entanglement; superposition; quantum operator; complexity of the algorithm.
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