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arXiv · 2302.04889

Implementation of Topological Quantum Gates in Magnet-Superconductor Hybrid Structures

Jasmin Bedow·Eric Mascot·Themba Hodge·Stephan Rachel·Dirk K. Morr
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Abstract

The creation of topological quantum gates using Majorana zero modes -- an outstanding problem in the field of topological quantum computing -- relies on our ability to control the braiding process of these particles in time and space. Here, we demonstrate the successful implementation of topologically protected $\sqrt{\sigma_z}$-, $\sigma_z$- and $\sigma_x$-quantum gates using Majorana zero modes in two-dimensional magnet-superconductor hybrid structures. We propose a braiding protocol that makes use of recent advances in the ability to control the spin of individual atoms using electron-spin-resonance techniques. We visualize the braiding process in time and space by computing the non-equilibrium local density of states, which is proportional to the time-dependent differential conductance measured in scanning tunneling spectroscopy experiments.

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Jasmin Bedow, Eric Mascot, Themba Hodge, Stephan Rachel, Dirk K. Morr. 2023-02-09. Implementation of Topological Quantum Gates in Magnet-Superconductor Hybrid Structures. https://arxiv.org/abs/2302.04889

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