Published 1999
| public
Book Section - Chapter
Topological Quantum Computation
- Creators
- Ogburn, R. Walter
-
Preskill, John
- Other:
- Williams, Colin P.
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.
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.Additional details
- Eprint ID
- 104385
- DOI
- 10.1007/3-540-49208-9_31
- Resolver ID
- CaltechAUTHORS:20200715-072635515
- Defense Advanced Research Projects Agency (DARPA)
- DAAH04-96-1-0386
- Army Research Office (ARO)
- DE-FG03-92-ER40701
- Department of Energy (DOE)
- Caltech Summer Undergraduate Research Fellowship (SURF)
- Created
-
2020-07-15Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
- Series Name
- Lecture Notes in Computer Science
- Series Volume or Issue Number
- 1509