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  1. We study the dynamics of Majorana zero modes that are shuttled vialocal tuning of the electrochemical potential in a superconducting wire.By performing time-dependent simulations of microscopic lattice models,we show that diabatic corrections associated with the moving Majoranamodes are quantitatively captured by a simple Landau-Zener description.We further simulate a Rabi-oscillation protocol in a specific qubitdesign with four Majorana zero modes in a single wire and quantifyconstraints on the timescales for performing qubit operations in thissetup. Our simulations utilize a Majorana representation of the system,which greatly simplifies simulations of superconductors at themean-field level.