Quantifying robustness and locality of Majorana bound states in interacting systems
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911730298257408 |
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| author | Samuelson, William Luna, Juan Daniel Torres Miles, Sebastian Bozkurt, A. Mert Leijnse, Martin Wimmer, Michael Svensson, Viktor |
| author_facet | Samuelson, William Luna, Juan Daniel Torres Miles, Sebastian Bozkurt, A. Mert Leijnse, Martin Wimmer, Michael Svensson, Viktor |
| contents | Protecting qubits from perturbations is a central challenge in quantum computing. Topological superconductors with separated Majorana bound states (MBSs) provide a strong form of protection that only depends on the locality of perturbations. While the link between MBS separation, robust degeneracy, and protected braiding is well understood in non-interacting systems, recent experimental progress in short quantum-dot-based Kitaev chains highlights the need to establish these connections rigorously for interacting systems. We do this by defining MBSs from many-body ground states and show how their locality constrains their coupling to an environment. This, in turn, quantifies the protection of the energy degeneracy and the feasibility of non-abelian braiding. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_20538 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantifying robustness and locality of Majorana bound states in interacting systems Samuelson, William Luna, Juan Daniel Torres Miles, Sebastian Bozkurt, A. Mert Leijnse, Martin Wimmer, Michael Svensson, Viktor Mesoscale and Nanoscale Physics Quantum Physics Protecting qubits from perturbations is a central challenge in quantum computing. Topological superconductors with separated Majorana bound states (MBSs) provide a strong form of protection that only depends on the locality of perturbations. While the link between MBS separation, robust degeneracy, and protected braiding is well understood in non-interacting systems, recent experimental progress in short quantum-dot-based Kitaev chains highlights the need to establish these connections rigorously for interacting systems. We do this by defining MBSs from many-body ground states and show how their locality constrains their coupling to an environment. This, in turn, quantifies the protection of the energy degeneracy and the feasibility of non-abelian braiding. |
| title | Quantifying robustness and locality of Majorana bound states in interacting systems |
| topic | Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2510.20538 |