Dmitry Bagrets

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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 such a protocol using digital quantum simulations on the IBM_Brisbane quantum processor. Remarkably, only 12 Trotter steps are sufficient to reproduce the theoretically predicted braiding gate with a fidelity of up to 99.9% in the absence of decoherence and noise. In experiment, this upper bound is reduced due to the lack of topological protection for the simulated Majoranas. However, we show that applying advanced error-mitigation techniques can restore experimental fidelity to values close to the ideal limit.

In cooperation with S. Schmitz, K. Lively, T. Bode and B. Fauseweh

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FZ Jülich
InnoDom Cologne, Weyertal 109, 50931 Köln
Contact: Sebastian Diehl, Simon Trebst