Non-Abelian operations on Majorana fermions via single charge control

TL;DR

This paper demonstrates that non-Abelian rotations of Majorana fermions can be achieved through single-electron control in quantum dots, enabling continuum rotations and charge-based readout, advancing topological quantum computation methods.

Contribution

It introduces a novel method for performing non-Abelian rotations on Majorana fermions using single charge control, expanding the toolkit for topological quantum operations.

Findings

Non-Abelian rotations can be realized via single-electron addition/removal.

Rotations are similar to braiding but allow a continuum of angles.

Quantum dots enable charge-based readout of Majorana states.

Abstract

We demonstrate that non-Abelian rotations within the degenerate groundstate manifold of a set of Majorana fermions can be realized by the addition or removal of single electrons, and propose an implementation using Coulomb blockaded quantum dots. The exchange of electrons generates rotations similar to braiding, though not in real space. Unlike braiding operations, rotations by a continuum of angles are possible, while still being partially robust against perturbations. The quantum dots can also be used for readout of the state of the Majorana system via a charge measurement.