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Non-Abelian statistics and topological quantum computation in 1D wire networks | | Jason Alicea
; Yuval Oreg
; Gil Refael
; Felix von Oppen
; Matthew P. A. Fisher
; | | Date: |
23 Jun 2010 | | Abstract: | Topological quantum computation provides an elegant way around decoherence,
as one encodes quantum information in a non-local fashion that the environment
finds difficult to corrupt. Here we introduce a surprising new topological
quantum computation platform: one-dimensional semiconductor wire networks.
Previous work [Lutchyn et al., arXiv:1002.4033 and Oreg et al.,
arXiv:1003.1145] provided a recipe for driving semiconducting wires into a
topological phase supporting long-sought particles known as Majorana fermions
that can store topologically protected quantum information. Majorana fermions
in this setting can be transported, created, and fused by applying locally
tunable gates to the wire. More importantly, we show that networks of such
wires allow Majorana fermions to be meaningfully braided and that they exhibit
non-Abelian statistics like vortices in a p+ip superconductor. We propose
simple experimental setups that allow for the Majorana fusion rules to be
probed, along with more complex networks that allow for efficient exchange of
arbitrary numbers of Majorana fermions. This work paves a new path forward in
the field of topological quantum computation that benefits from physical
transparency and experimental realism. | | Source: | arXiv, 1006.4395 | | Services: | Forum | Review | PDF | Favorites | |
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