Hormozi, L. and Bonesteel, N.E. and Simon, S.H.
Topological Quantum Computing with Read-Rezayi States.
Physical Review Letters, 103 (160501 ).
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.
||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.).
||Topological Quantum Computing; Read-Rezayi States;
||Science & Engineering > Mathematical Physics
Steven H. Simon
||27 Sep 2011 15:41
|Journal or Publication Title:
||Physical Review Letters
||American Physical Society
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