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Designer non-Abelian anyon platforms: from Majorana to Fibonacci

Alicea, Jason and Stern, Ady (2015) Designer non-Abelian anyon platforms: from Majorana to Fibonacci. Physica Scripta, 2015 (T164). Art. No. 014006. ISSN 0031-8949. doi:10.1088/0031-8949/2015/T164/014006.

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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.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Alicea, Jason0000-0001-9979-3423
Stern, Ady0000-0002-9493-268X
Additional Information:© 2015 The Royal Swedish Academy of Sciences. Received 7 October 2014. Accepted for publication 27 April 2015. Published 25 August 2015. We are indebted to all of our collaborators on work related to non-Abelian statistics, particularly from Refs. 26, 75, 76, and 79 on which much of this article is based. J. A. gratefully acknowledges funding from the NSF through grant DMR-1341822; the Alfred P. Sloan Foundation; the Caltech Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation; and the Walter Burke Institute for Theoretical Physics at Caltech. A. S. gratefully acknowledges support from Microsoft's Station Q, the European Research Council under the European Union's Seventh Framework Programme (FP7/2007-2013) / ERC Project MUNATOP, the US-Israel Binational Science Foundation and the Minerva Foundation.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Alfred P. Sloan FoundationUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Microsoft Station QUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
European Research Council (ERC)FP7/2007-2013
Binational Science Foundation (USA-Israel)UNSPECIFIED
Minerva FoundationUNSPECIFIED
Subject Keywords:topological quantum computation, Majorana fermions, Fibonacci anyons
Issue or Number:T164
Record Number:CaltechAUTHORS:20141020-102518072
Persistent URL:
Official Citation:Jason Alicea and Ady Stern 2015 Phys. Scr. 2015 014006
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:50544
Deposited By: Ruth Sustaita
Deposited On:21 Oct 2014 01:47
Last Modified:12 Jul 2022 19:41

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