Non-Abelian operations on Majorana fermions via single charge control

Details Non-Abelian operations on Majorana fermions via single charge control Non-Abelian operations on Majorana fermions via single charge control

2010-11-24

arxiv.org/abs/1011.5467v1

Phys. Rev. Lett. 106, 090503 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 figures

Scientific paper

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.

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