DOE OSTI · 2965320
Simulating topological quantum gates in two-dimensional magnet-superconductor hybrid structures
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 in time and space. Here, we propose two-dimensional magnet-superconductor hybrid structures as a new platformfor the successful implementation of topologically protected √σ z -, σ z - and σ x -quantum gates using Majorana zero modes. Employing a novel theoretical formalism to compute the full timedependent many-body wave-function and utilizing a braiding protocol motivated by recent advances in electron-spin-resonance techniques we simulate quantum gates in 2D systems up to 600 sites, on timescales from a few femto- to nanoseconds. We demonstrate that the braiding process can be visualized 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, allowing us to directly image Majorana world lines.
Explore related subjects
Keep this discovery
Explore connections, maps & timelines
Bedow, Jasmin [University of Illinois, Chicago, IL (United States)] (ORCID:0000000220108567), Mascot, Eric [University of Melbourne, Parkville, VIC (Australia)] (ORCID:0000000330120874), Hodge, Themba [University of Melbourne, Parkville, VIC (Australia)], Rachel, Stephan [University of Melbourne, Parkville, VIC (Australia)] (ORCID:0000000234552802), Morr, Dirk K. [University of Illinois, Chicago, IL (United States)] (ORCID:0000000336922835). 2024-12-05. Simulating topological quantum gates in two-dimensional magnet-superconductor hybrid structures. https://doi.org/10.1038/s41535-024-00703-w
Cite the original work for its findings. Save a collection to share your selection of sources.