Braiding of Majorana Zero Modes in Vortex Cores
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915255258447872 |
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| author | Buss, Maxwell Bedow, Jasmin Gupta, Prashant Morr, Dirk K. |
| author_facet | Buss, Maxwell Bedow, Jasmin Gupta, Prashant Morr, Dirk K. |
| contents | We demonstrate the successful simulation of $\sqrt{Z}$-, $\sqrt{X}$- and $X$-quantum gates using Majorana zero modes (MZMs) that emerge in magnetic vortices located in topological superconductors. We compute the transition probabilities and geometric phase differences accounting for the full many-body dynamics and show that qubit states can be read out by fusing the vortex core MZMs and measuring the resulting charge density. We visualize the gate processes using the time- and energy-dependent non-equilibrium local density of states. Our results demonstrate the feasibility of employing vortex core MZMs for the realization of fault-tolerant topological quantum computing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_16841 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Braiding of Majorana Zero Modes in Vortex Cores Buss, Maxwell Bedow, Jasmin Gupta, Prashant Morr, Dirk K. Mesoscale and Nanoscale Physics Superconductivity We demonstrate the successful simulation of $\sqrt{Z}$-, $\sqrt{X}$- and $X$-quantum gates using Majorana zero modes (MZMs) that emerge in magnetic vortices located in topological superconductors. We compute the transition probabilities and geometric phase differences accounting for the full many-body dynamics and show that qubit states can be read out by fusing the vortex core MZMs and measuring the resulting charge density. We visualize the gate processes using the time- and energy-dependent non-equilibrium local density of states. Our results demonstrate the feasibility of employing vortex core MZMs for the realization of fault-tolerant topological quantum computing. |
| title | Braiding of Majorana Zero Modes in Vortex Cores |
| topic | Mesoscale and Nanoscale Physics Superconductivity |
| url | https://arxiv.org/abs/2504.16841 |