Research and Development Corrective Automorphism of Repeated Code for Quantum Error Correction

Abstract

AbstractOne of the main problems to be overcome in the near future for the practical creation of quantum computer to make quantum computing resistant to interaction with the external environment and to eliminate inaccuracy of operations. In this paper we study quantum codes correcting errors, proposed as a way to protect against the occurrence errors due to the influence of the external environment. Results of work are considered software implemented model of the simplest quantum code. This work is a study of the influence of the environment on a quantum system of qubits. The article is supposed to describe the foundations of quantum information theory, as well as the place in it of the concept of quantum entanglement. A technique for correcting two main types of quantum errors has been developed, based on the implementation and execution of certain quantum circuits. The main difficulties of ensuring the protection of a quantum channel from various types of errors are analyzed and considered. Demonstrated are the dependences of data distortion on the noise level and the measure of decoherence on the noise level in one qubit.KeywordsQubitEntanglementQuantum schemeWave functionQuantum error