Effect of the Noise on Generalized Peres Gate Operation

Abstract

The advantages of quantum computing may be lost due to the presence of various noises in real quantum devices. In this paper, generalized Peres gates are studied using a solid-state model of a linear chain of atoms with nuclear spin one half, which is implanted in a spin-free silicon matrix. The effect of frequency noise on the correctness of gates operation is investigated on the example of the one- and two-step algorithmic transitions. It is shown for the first time that an imbalance by the magnitude of the resonance control frequency leads to a significant decrease in the fidelity of correct gate operation on the digital states. While for the superposition input signals stabilization of the fidelity is observed to a level of 0.4–0.8 with an increase in the imbalance of the resonance frequency. A similar effect takes place at time deviation of the frequency around the resonant value. Minimum values of the frequency imbalance parameters, which ensure correctness of the generalized Peres gate operation, are proposed.