BibTeX
@MISC{Ogburn99topologicalquantum,
author = {Walter Ogburn and John Preskill},
title = {Topological Quantum Computation},
year = {1999}
}
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Abstract
. Following a suggestion of A. Kitaev, we explore the connection between fault-tolerant quantum computation and nonabelian quantum statistics in two spatial dimensions. A suitably designed spin system can support localized excitations (quasiparticles) that exhibit long-range nonabelian Aharonov-Bohm interactions. Quantum information encoded in the charges of the quasiparticles is highly resistant to decoherence, and can be reliably processed by carrying one quasiparticle around another. If information is encoded in pairs of quasiparticles, then the AharonovBohm interactions can be adequate for universal fault-tolerant quantum computation. This paper was presented at the 1st Nasa International Conference on Quantum Computing and Quantum Communications, February 17-20, 1998, and published in Lecture Notes in Computer Science 1509: 341-356 (1999). 1 Fault-tolerant quantum computation Quantum computers appear to be capable, at least in principle, of solving certain problems f...
