DEVELOPMENT OF CORRECTION CODES FOR CORRECTING SEVERAL KINDS OF QUANTUM ERRORS

Abstract

Recently, there has been a rapid increase in interest in quantum computers. Their work is based on the use of quantum-mechanical phenomena such as superposition and entanglement for computing input data into output data that can actually provide effective performance 3 to 4 orders of magnitude higher than any modern computing devices, which will solve the above and others tasks in a natural and accelerated time scale. This article is devoted to solving the problem of research and development of corrective codes for correcting several types of quantum errors that appear during computational processes in quantum algorithms and models of quantum computing devices. The aim of the work is to study existing methods for correcting various types and types of quantum errors and to create a 3-qubit corrective code for quantum error correction. The work touches upon the tasks of research and development of the functioning methods of quantum circuits and models of quantum computing devices. The relevance of these studies lies in the mathematical and software modeling and implementation of corrective codes for correcting several types of quantum errors as part of the development and implementation of quantum algorithms for solving classes of classical problems. The scientific novelty of this area is expressed in the exclusion of one of the shortcomings of the quantum computing process. 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 illuminated in the world. The aim of the work is computer simulation of a quantum computing process using the method of correcting phase types of errors, which allows one to evaluate the own phase of a unitary gate that has gained access to the quantum state in proportion to its own vector.