Ogburn, R. Walter and Preskill, John (1999) Topological Quantum Computation. In: Quantum Computing and Quantum Communications. Lecture Notes in Computer Science. No.1509. Springer , Berlin, pp. 341-356. ISBN 978-3-540-65514-5. https://resolver.caltech.edu/CaltechAUTHORS:20200715-072635515
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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 Aharonov-Bohm interactions can be adequate for universal fault-tolerant quantum computation.
| Item Type: | Book Section | ||||||||||
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| Additional Information: | © 1999 Springer-Verlag Berlin Heidelberg. This work has been supported in part by DARPA under Grant No. DAAH04-96-1-0386 administered by the Army Research Office, bythe Department of Energy under Grant No. DE-FG03-92-ER40701, and by Caltech's Summer Undergraduate Research Fellowship program. We are grateful for helpful conversations with David DiVincenzo, Daniel Gottesman, Michael Nielsen, and especially Alesha Kitaev. | ||||||||||
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| Subject Keywords: | Quantum Computation; Quantum Gate; Berry Phase; Quantum Code; Quantum Error Correction | ||||||||||
| Series Name: | Lecture Notes in Computer Science | ||||||||||
| Issue or Number: | 1509 | ||||||||||
| DOI: | 10.1007/3-540-49208-9_31 | ||||||||||
| Record Number: | CaltechAUTHORS:20200715-072635515 | ||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200715-072635515 | ||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||
| ID Code: | 104385 | ||||||||||
| Collection: | CaltechAUTHORS | ||||||||||
| Deposited By: | Tony Diaz | ||||||||||
| Deposited On: | 15 Jul 2020 14:48 | ||||||||||
| Last Modified: | 16 Nov 2021 18:31 |
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