Topological quantum computing with Read-Rezayi states.

Journal article

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 not equal 4. This work extends previous results which only applied to the case k=3 (Fibonacci) and clarifies why, in that case, gate constructions are simpler than for a generic Read-Rezayi state.

Authors: Hormozi, L; Bonesteel, N; Simon, S

• Publication status: Published
• Journal: Physical Review Letters
• Volume: 103
• Issue: 16
• Pages: 160501
• Publication date: 2009-10-01
• DOI: 10.1103/physrevlett.103.160501
• EISSN: 1079-7114
• ISSN: 0031-9007
• Language: English