The DOI matches its Crossref record; 51 of the 51 references it cites were found in a registry or an index.
Topological Quantum Computation—From Basic Concepts to First Experiments
Abstract
Quantum computation requires controlled engineering of quantum states to perform tasks that go beyond those possible with classical computers. Topological quantum computation aims to achieve this goal by using non-Abelian quantum phases of matter. Such phases allow for quantum information to be stored and manipulated in a nonlocal manner, which protects it from imperfections in the implemented protocols and from interactions with the environment. Recently, substantial progress in this field has been made on both theoretical and experimental fronts. We review the basic concepts of non-Abelian phases and their topologically protected use in quantum information processing tasks. We discuss different possible realizations of these concepts in experimentally available solid-state systems, including systems hosting Majorana fermions, their recently proposed fractional counterparts, and non-Abelian quantum Hall states.
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Cites
Fault-tolerant quantum computation by anyons
Kitaev, A. Y. (2003) · Annals of Physics · doi:10.1016/s0003-4916(02)00018-0 · Cited by 7,238
Non-Abelian anyons and topological quantum computation
Nayak, C., Simon, S. H., Stern, A., Freedman, M., & Das Sarma, S. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1083 · Cited by 6,861
Self-citationAnyons in an exactly solved model and beyond
Kitaev, A. (2006) · Annals of Physics · doi:10.1016/j.aop.2005.10.005 · Cited by 5,245
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator
Fu, L., & Kane, C. L. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.096407 · Cited by 4,868
Unpaired Majorana fermions in quantum wires
Kitaev, A. Y. (2001) · Physics-Uspekhi · doi:10.1070/1063-7869/44/10s/s29 · Cited by 4,770
Signatures of Majorana Fermions in Hybrid Superconductor-Semiconductor Nanowire Devices
Mourik, V., Zuo, K., Frolov, S. M., Plissard, S. R., Bakkers, E. P. A. M., & Kouwenhoven, L. P. (2012) · Science · doi:10.1126/science.1222360 · Cited by 4,163
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Helical Liquids and Majorana Bound States in Quantum Wires
Oreg, Y., Refael, G., & von Oppen, F. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.177002 · Cited by 3,167
Nonabelions in the fractional quantum hall effect
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Cited by
Non-Abelian braiding of graph vertices in a superconducting processor
Collaborators, G. Q. A. A., Andersen, T. I., Lensky, Y. D., Kechedzhi, K., Drozdov, I. K., Bengtsson, A., Hong, S., Morvan, A., Mi, X., Opremcak, A., et al. (2023) · Nature · doi:10.1038/s41586-023-05954-4 · Cited by 108
Metadata
- Authors
- Stern, A., & Lindner, N. H.
- Venue
- Science
- Published
- 2013-03-08
- Volume
- 339
- Issue
- 6124
- Pages
- 1179-1184
- ISSN
- 0036-8075 (ISSN-L)
- 1095-9203
- OpenAlex
- W1989838827
- Cited by
- 342
- References
- 51
- FWCI
- 8.22
- Type
- journal article
- Language
- en
- Open access
- closed
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