Designer non-Abelian anyon platforms: from Majorana to Fibonacci

The emergence of non-Abelian anyons from large collections of interacting elementary particles is a conceptually beautiful phenomenon with important ramifications for fault-tolerant quantum computing. Over the last few decades the field has evolved from a highly theoretical subject to an active expe...

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Published inPhysica scripta Vol. T164; no. 1; pp. 14006 - 14015
Main Authors Alicea, Jason, Stern, Ady
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.12.2015
Subjects
Fibonacci anyons
Majorana fermions
topological quantum computation
Online AccessGet full text
ISSN0031-8949
1402-4896
DOI10.1088/0031-8949/2015/T164/014006

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Abstract The emergence of non-Abelian anyons from large collections of interacting elementary particles is a conceptually beautiful phenomenon with important ramifications for fault-tolerant quantum computing. Over the last few decades the field has evolved from a highly theoretical subject to an active experimental area, particularly following proposals for trapping non-Abelian anyons in 'engineered' structures built from well-understood components. In this short overview we briefly tour the impressive progress that has taken place in the quest for the simplest type of non-Abelian anyon-defects binding Majorana zero modes-and then turn to similar strategies for pursuing more exotic excitations. Specifically, we describe how interfacing simple quantum Hall systems with conventional superconductors yields 'parafermionic' generalizations of Majorana modes and even Fibonacci anyons-the latter enabling fully fault tolerant universal quantum computation. We structure our treatment in a manner that unifies these topics in a coherent way. The ideas synthesized here spotlight largely uncharted experimental territory in the field of quantum Hall physics that appears ripe for discovery.
AbstractList The emergence of non-Abelian anyons from large collections of interacting elementary particles is a conceptually beautiful phenomenon with important ramifications for fault-tolerant quantum computing. Over the last few decades the field has evolved from a highly theoretical subject to an active experimental area, particularly following proposals for trapping non-Abelian anyons in 'engineered' structures built from well-understood components. In this short overview we briefly tour the impressive progress that has taken place in the quest for the simplest type of non-Abelian anyon-defects binding Majorana zero modes-and then turn to similar strategies for pursuing more exotic excitations. Specifically, we describe how interfacing simple quantum Hall systems with conventional superconductors yields 'parafermionic' generalizations of Majorana modes and even Fibonacci anyons-the latter enabling fully fault tolerant universal quantum computation. We structure our treatment in a manner that unifies these topics in a coherent way. The ideas synthesized here spotlight largely uncharted experimental territory in the field of quantum Hall physics that appears ripe for discovery.
Author Alicea, Jason
Stern, Ady
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  organization: Department of Condensed Matter Physics , Weizmann Institute of Science, Rehovot, 76100, Israel
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Snippet The emergence of non-Abelian anyons from large collections of interacting elementary particles is a conceptually beautiful phenomenon with important...
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SubjectTerms Fibonacci anyons
Majorana fermions
topological quantum computation
Title Designer non-Abelian anyon platforms: from Majorana to Fibonacci
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