Dynamical signatures of ground-state degeneracy to discriminate against Andreev levels in a Majorana fusion experiment

Abstract

Detection of the fusion rule of Majorana zero-modes is a near-term milestone on the road to topological quantum computation. An obstacle is that the non-deterministic fusion outcome of topological zero-modes can be mimicked by the merging of non-topological Andreev levels. To distinguish these two scenarios, we search for dynamical signatures of the ground-state degeneracy that is the defining property of non-Abelian anyons. By adiabatically traversing parameter space along two different pathways one can identify ground-state degeneracies from the breakdown of adiabaticity. We show that the approach can discriminate against accidental degeneracies of Andreev levels.

5 pages, 5 figures

References in corpus (4)

• Non-Abelian Anyons and Topological Quantum Computation
• The non-Abelian Interferometer
• Topological States in a One-Dimensional Fermi Gas with Attractive Interactions
• Braiding by Majorana Tracking and Long-Range CNOT Gates with Color Codes

Cited by in corpus (5)

• Theory of Majorana zero modes in unconventional superconductors
• Distinguishing trivial and topological zero energy states in long nanowire junctions
• Zero-frequency supercurrent susceptibility signatures of trivial and topological zero-energy states in nanowire junctions
• Robust topological superconductivity in weakly coupled nanowire-superconductor hybrid structures
• Confinement-induced zero-bias peaks in conventional superconductor hybrids