Vortex Majorana braiding in a finite time

Abstract

Abrikosov vortices in Fe-based superconductors are a promising platform for hosting Majorana zero modes. Their adiabatic exchange is a key ingredient for Majorana-based quantum computing. However, the adiabatic braiding process can not be realized in state-of-the-art experiments. We propose to replace the infinitely slow, long-path braiding by only slightly moving vortices in a special geometry without actually physically exchanging the Majoranas, like a Majorana carousel. Although the resulting finite-time gate is not topologically protected, it is robust against variations in material specific parameters and in the braiding-speed. We prove this analytically. Our results carry over to Y-junctions of Majorana wires.

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• Imaging and controlling vortex dynamics in mesoscopic superconductor-normal-metal-superconductor arrays
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• Braiding and all quantum operations with Majorana modes in 1D
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• Controlling Majorana hybridization in magnetic chain-superconductor systems
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• Effects of dynamical noises on Majorana bound states
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• Tight-Binding Energy-Phase Calculation for Topological Josephson Junction Nanowire Architecture
• Scheme for braiding Majorana zero modes in vortices using an STT-matrix