Fusion Dynamics of Majorana Zero Modes
Fuente:
arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915745082900480 |
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| author | Hodge, Themba Kieu, Tuan Bedow, Jasmin Mascot, Eric Morr, Dirk K. Rachel, Stephan |
| author_facet | Hodge, Themba Kieu, Tuan Bedow, Jasmin Mascot, Eric Morr, Dirk K. Rachel, Stephan |
| contents | Braiding and fusion of Majorana zero modes are key elements of any future topological Majorana-based quantum computer. Here, we investigate the fusion dynamics of Majorana zero modes in the spinless Kitaev model, as well as in a spinful model describing magnet-superconductor hybrid structures. We consider various scenarios allowing us to reproduce the fusion rules of the Ising anyon model. Particular emphasis is given to the charge of the fermion obtained after fusing two Majorana zero modes: as long as it remains on the superconductor, charge quantization is absent. When moving the fermion to a non-superconducting region, such as a quantum dot, nearly-quantized charge can be measured. Our findings confirm for both platforms that fusion dynamics of Majorana zero modes can indeed be used for the readout of Majorana qubits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_09800 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fusion Dynamics of Majorana Zero Modes Hodge, Themba Kieu, Tuan Bedow, Jasmin Mascot, Eric Morr, Dirk K. Rachel, Stephan Mesoscale and Nanoscale Physics Superconductivity Quantum Physics Braiding and fusion of Majorana zero modes are key elements of any future topological Majorana-based quantum computer. Here, we investigate the fusion dynamics of Majorana zero modes in the spinless Kitaev model, as well as in a spinful model describing magnet-superconductor hybrid structures. We consider various scenarios allowing us to reproduce the fusion rules of the Ising anyon model. Particular emphasis is given to the charge of the fermion obtained after fusing two Majorana zero modes: as long as it remains on the superconductor, charge quantization is absent. When moving the fermion to a non-superconducting region, such as a quantum dot, nearly-quantized charge can be measured. Our findings confirm for both platforms that fusion dynamics of Majorana zero modes can indeed be used for the readout of Majorana qubits. |
| title | Fusion Dynamics of Majorana Zero Modes |
| topic | Mesoscale and Nanoscale Physics Superconductivity Quantum Physics |
| url | https://arxiv.org/abs/2503.09800 |