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Topological Quantum Computing with Read-Rezayi States

Hormozi, L. and Bonesteel, N.E. and Simon, S.H. (2009) Topological Quantum Computing with Read-Rezayi States. Physical Review Letters, 103 (160501 ). pp. 1-4. ISSN 1079-7114

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Abstract

Read-Rezayi fractional quantum Hall states are among the prime candidates for realizing non-Abelian anyons which, in principle, can be used for topological quantum computation. We present a prescription for efficiently finding braids which can be used to carry out a universal set of quantum gates on encoded qubits based on anyons of the Read-Rezayi states with k > 2, k 4. This work extends previous results which only applied to the case k ¼ 3 (Fibonacci) and clarifies why, in that case, gate constructions are simpler than for a generic Read-Rezayi state.

Item Type: Article
Additional Information: Original article published in Physical Review Letters Vol.103 No.160501 (© 2009 The American Physical Society). We gratefully acknowledge Wayne Witzel for developing some of the codes used to find the braids shown in this Letter. We also thank the Aspen Center for Physics for its hospitality during the completion of part of this work and ICAM for providing travel support (L. H.). We acknowledge support from NIST/NRC (L. H.) and U.S. DOE Grant No. DE-FG02-97ER45639 (N. E. B.).
Keywords: Topological Quantum Computing; Read-Rezayi States;
Subjects: Science & Engineering > Mathematical Physics
Item ID: 2735
Identification Number: DOI: 10.1103/PhysRevLett.103.160501
Depositing User: Steven H. Simon
Date Deposited: 27 Sep 2011 15:41
Journal or Publication Title: Physical Review Letters
Publisher: American Physical Society
Refereed: Yes
URI:

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