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QI: Fachverband Quanteninformation

QI 3: Quantum Simulation

QI 3.2: Vortrag

Montag, 9. März 2026, 15:15–15:30, BEY/0137

Braiding of Majorana zero modes on the digital IBM quantum processor — •Stefan Schmitz1,2, Kevin Lively3, Maike Drieb-Schön4, Tim Bode1, Benedikt Fauseweh3,5, and Dmitry Bagrets1,21Peter Grünberg Institute, Quantum Computing Analytics (PGI-12), Forschungszentrum Jülich, 52425 Jülich, Germany — 2Institute for Theoretical Physics, University of Cologne, 50937 Cologne, Germany — 3Institute for Software Technology, German Aerospace Center (DLR), 51147 Cologne, Germany — 4Institute for Theoretical Physics, University of Innsbruck, 6020 Innsbruck, Austria — 5Department of Physics, TU Dortmund University, 44227 Dortmund, Germany

The search for elusive Majorana fermions in solid-state devices has occupied the scientific community for more than a decade. Their unambiguous detection is expected to rely on a braiding protocol that can verify their non-Abelian statistics. We have emulated one variant of this protocol using digital quantum simulations performed on IBM quantum processors. Remarkably, only 12 Trotter steps are sufficient to reproduce a theoretically predicted Majorana braiding operation with a fidelity exceeding 99.9 % in the absence of decoherence and noise. In experiment, this upper bound can not be reached due to the lack of topological protection for the virtual Majoranas. However, we show that applying error mitigation techniques can restore experimental fidelity to values close to the ideal limit.

Keywords: Topological Quantum Computing; Braiding; Majorana Zero Modes; Digital Quantum Simulation

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