Quantify the stability of Majorana qubits through Rabi beat

TL;DR

This paper introduces a method to assess the stability of Majorana qubits by analyzing Rabi oscillations and beats, accounting for finite-size effects, inhomogeneities, and dissipation, to advance topological quantum computing.

Contribution

It proposes a novel experimental approach to quantify Majorana qubit stability via Rabi beat analysis, considering realistic effects like finite size and dissipation.

Findings

Rabi beats reveal deviations from ideal Majorana qubits.

Weak dissipation does not affect Rabi beat patterns.

Non-local Majorana qubits are resilient to certain decoherence mechanisms.

Abstract

Evaluating the stability of Majorana qubits (MQ) is crucial for the advancement of topological quantum computation. In this work, we propose a method to quantify the stability of MQs through their Rabi oscillations.Our approach involves coupling a fermionic state to the MQ and measuring the resulting Rabi oscillations induced by this coupling. This setup is feasible across a range of experimental platforms.We show that Rabi beats emerge when considering finite-size effects and inhomogeneous potentials. The beating frequency is directly related to the deviations caused by these factors, providing a quantitative method to assess the stability of Majorana qubits.Additionally, we investigate the impact of dissipation on MQ stability. We find that the beating patterns are unaffected by weak dissipation. More intriguingly, dissipation would weaken in an ideal MQ. This suggests that non-local qubits can effectively avoid certain types of decoherence.