Quantifying Robustness and Locality of Majorana Bound States in Interacting Systems
William Samuelson (Lund University)
Juan Daniel Torres Luna (TU Delft - QRD/Wimmer Group, TU Delft - QuTech Advanced Research Centre, Kavli institute of nanoscience Delft)
Sebastian Miles (Kavli institute of nanoscience Delft, TU Delft - QRD/Wimmer Group, TU Delft - QuTech Advanced Research Centre)
A. Mert Bozkurt (TU Delft - QRD/Wimmer Group, Kavli institute of nanoscience Delft, TU Delft - QuTech Advanced Research Centre)
Martin Leijnse (Lund University)
Michael Wimmer (TU Delft - QuTech Advanced Research Centre, Kavli institute of nanoscience Delft, TU Delft - QRD/Wimmer Group)
Viktor Svensson (Universitetet i Oslo)
More Info
expand_more
Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.
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.
help_outline