Effects of disorder on Coulomb-assisted braiding of Majorana zero modes

Effects of disorder on Coulomb-assisted braiding of Majorana zero modes

Majorana zero modes in networks of one-dimensional topological superconductors obey non-Abelian braiding statistics. Braiding manipulations can be realized by controlling Coulomb couplings in hybrid Majorana-transmon devices. However, strong disorder may induce accidental Majorana modes, which are e...

Full description

Saved in:
Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Vol. 88; no. 15
Main Authors: Fulga, I. C., van Heck, B., Burrello, M., Hyart, T.
Format: Journal Article
Language:English
Published: 25-10-2013
Subjects:
Braiding
Condensed matter
Coulomb friction
Couplings
Devices
Disorders
Joining
Statistics
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Majorana zero modes in networks of one-dimensional topological superconductors obey non-Abelian braiding statistics. Braiding manipulations can be realized by controlling Coulomb couplings in hybrid Majorana-transmon devices. However, strong disorder may induce accidental Majorana modes, which are expected to have detrimental effects on braiding statistics. Nevertheless, we show that the Coulomb-assisted braiding protocol is efficiently realized also in the presence of accidental modes. The errors occurring during the braiding cycle are small if the couplings of the computational Majorana modes to the accidental ones are much weaker than the maximum Coulomb coupling.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.88.155435