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Quantifying Robustness and Locality of Majorana Bound States in Interacting Systems

Samuelson, William LU orcid ; Torres Luna, Juan Daniel ; Miles, Sebastian ; Bozkurt, A. Mert ; Leijnse, Martin LU ; Wimmer, Michael and Svensson, Viktor LU (2026) In PRX Quantum 7(2).
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 noninteracting 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... (More)
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 noninteracting 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. (Less)
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author
; ; ; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
PRX Quantum
volume
7
issue
2
article number
020341
pages
22 pages
publisher
American Physical Society
ISSN
2691-3399
DOI
10.1103/pw51-tnsz
language
English
LU publication?
yes
id
657e44c1-7b41-441c-8315-51c0a72a98eb
date added to LUP
2026-05-29 14:34:31
date last changed
2026-06-01 08:57:35
@article{657e44c1-7b41-441c-8315-51c0a72a98eb,
  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 noninteracting 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.}},
  author       = {{Samuelson, William and Torres Luna, Juan Daniel and Miles, Sebastian and Bozkurt, A. Mert and Leijnse, Martin and Wimmer, Michael and Svensson, Viktor}},
  issn         = {{2691-3399}},
  language     = {{eng}},
  number       = {{2}},
  publisher    = {{American Physical Society}},
  series       = {{PRX Quantum}},
  title        = {{Quantifying Robustness and Locality of Majorana Bound States in Interacting Systems}},
  url          = {{http://dx.doi.org/10.1103/pw51-tnsz}},
  doi          = {{10.1103/pw51-tnsz}},
  volume       = {{7}},
  year         = {{2026}},
}