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Published January 2003 | Submitted
Journal Article Open

Fault-tolerant quantum computation by anyons

Abstract

A two-dimensional quantum system with anyonic excitations can be considered as a quantum computer. Unitary transformations can be performed by moving the excitations around each other. Measurements can be performed by joining excitations in pairs and observing the result of fusion. Such computation is fault-tolerant by its physical nature.

Additional Information

© 2002 Elsevier Science. Received 20 May 2002; Available online 24 December 2002. I am grateful to J. Preskill, D.P. DiVincenzo and C.H. Bennett for interesting discussions and questions which helped me to clarify some points in my constructions. This work was supported, in part, by the Russian Foundation for Fundamental Research, Grant No. 96-01-01113. Part of this work was completed during the 1997 Elsag-Bailey—I.S.I. Foundation research meeting on quantum computation.

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