The development of quantum computers is a huge technological challenge. Currently, at the stage of development of quantum computing devices, the task is to accelerate the simulation of quantum computing on existing computers, this is due to the fact that quantum computing devices process processes for an unacceptably long time. The article proposes a practical implementation of the quantum computing representation method based on "Quantum Information Decision Diagrams" graphs.

Keywords: quantum computer, quantum computing simulation, hardware accelerator, graph computing, matrix computing, qubit, mathematical model, matrix

This article examines the implications of the application of quantum computing in the field of image processing. A basic conversion associated with gray level processing, such as an image negative, is considered. The article shows how this operation can be expressed using quantum formalism. Whether quantum image processing (in some aspects or some specific applications) has an advantage over classical image processing in realistic scenarios remains to be seen. This depends on solving a number of problems, some of which are unique to quantum image processing, such as feature extraction of a quantum image. Some of them are common to quantum algorithms, such as noise processing. Identifying one of them will significantly speed up the study of this field.

Keywords: qubit, quantum circuit, entanglement, quantum circuit, register, quantum recognition, gate, parallelism, interference, quantum computer

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, makes it possible to transform a classical image into a quantum state, isolate boundaries and convert a halftone image to a binary one, shows the possibilities of quantum information theory in the interpretation of classical problems. The aim of the work is computer simulation of a quantum algorithm for solving the problem of transforming a classical image using quantum computing tools and methods, studying existing pattern recognition algorithms and creating an effective recognition model using the properties and methods of quantum computing. The relevance of these studies lies in mathematical and software modeling and implementation of a quantum algorithm for solving classes of problems of a classical nature. The scientific novelty of this area is primarily expressed in the constant updating and supplementation of the field of quantum research in a number of areas, and the computer simulation of quantum physical phenomena and features is poorly covered in the world.

Keywords: quantum algorithm, quantum bit, quantum computing model, quantum circuit, entanglement, quantum circuit, register, quantum recognition, gate, parallelism, interference, quantum computer