Majorana bound states (MBSs) have emerged as promising candidates for robust quantum computing due to their non-Abelian statistics and topological protection. In this study, we focus on the dynamical transport of MBSs in the semiconductor-superconductor heterostructure via the piano-key type of setup, wherein each of the keys of the wire can be tuned from topological to trivial phases. We focus on the transport of MBSs under noisy conditions and evaluate the feasibility for realistic scenarios. The central emphasis of our work lies in using both numerical and analytical techniques to understand the effect of noise in inducing diabatic errors during transport and to establish scaling laws that relate these errors to the drive time. To achieve this, we derive an effective model that captures the scaling behavior in both noise-free and noisy scenarios, providing a unified framework for analyzing the transport dynamics. We investigate the optimal number of keys for both noisy and noiseless scenarios. Additionally, we explore the effects of disorder on transport dynamics, highlighting its impact on error scaling and robustness. Our findings provide guiding principles for the design of future MBS-based quantum devices and raise important questions about the interplay between control precision, noise resilience, and scalability in topological quantum architectures.

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• Majorana bound states
• Majorana fermions
• Noise
• 1-dimensional systems
• Nanowires
• Quantum wires