Performance Analysis of Quantum Unitary Gates in Presence of Noise in The Field of Quantum Communication

摘要

This paper presents the performance analysis of unitary quantum gate in presence of noise, using the time dependent Schrodinger dynamics of system Hamiltonian. The perturbed Hamiltonian is expressed as the sum of unperturbed Hamiltonian and perturbation of any real valued controllable function. The basic idea is to maintain the unitarity for corresponding time evolutionary system after time T and it is achieved after solving the time-dependent Schrodinger equation along with Dyson series expansion. This work presents the behaviour of time evolutionary process of quantum system, first without noise and then in the presence of noise. The aim of this paper is to provide a simple mathematical approach for realizing the approximate unitary quantum gates when noise is having its appearance in corresponding quantum control field.