Quantifying robustness and locality of Majorana bound states in interacting systems

• URL: http://arxiv.org/abs/2510.20538v1
• Date: Thu, 23 Oct 2025 13:25:38 GMT
• Title: Quantifying robustness and locality of Majorana bound states in interacting systems
• Authors: William Samuelson, Juan Daniel Torres Luna, Sebastian Miles, A. Mert Bozkurt, Martin Leijnse, Michael Wimmer, Viktor Svensson,
• Abstract summary: Topological superconductors with separated Majorana bound states (MBSs) provide a strong form of protection.<n>We show how their locality constrains their coupling to an environment.<n>This, in turn, quantifies the protection of the energy degeneracy and the feasibility of non-abelian braiding.
• Score: 2.4018837019846555
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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