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Topological Quantum Computation—From Basic Concepts to First Experiments

Stern, Ady and Lindner, Netanel H. (2013) Topological Quantum Computation—From Basic Concepts to First Experiments. Science, 339 (6124). pp. 1179-1184. ISSN 0036-8075. http://resolver.caltech.edu/CaltechAUTHORS:20130401-093646448

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1126/science.1231473DOIUNSPECIFIED
http://www.sciencemag.org/content/339/6124/1179PublisherUNSPECIFIED
http://www.ncbi.nlm.nih.gov/pubmed/23471401PubMed CentralUNSPECIFIED
Additional Information:© 2013 American Association for the Advancement of Science. We thank C. Nayak and J. Preskill for helpful discussions, and the Kavli Institute for Theoretical Physics for their hospitality. Supported by the U.S.-Israel Binational Science Foundation, the Minerva foundation, and Microsoft Station Q (A.S.); Defense Advanced Research Projects Agency award N66001-12-1-4034 and the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center, with support of the Gordon and Betty Moore Foundation (N.H.L.); and NSF grant PHY11-25915.
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
U.S.-Israel Binational Science FoundationUNSPECIFIED
Minerva FoundationUNSPECIFIED
Microsoft Station QUNSPECIFIED
Defense Advanced Research Projects Agency (DARPA)N66001-12-1-4034
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontiers CenterUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
NSFPHY11-25915
Record Number:CaltechAUTHORS:20130401-093646448
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20130401-093646448
Official Citation:Topological Quantum Computation—From Basic Concepts to First Experiments Ady Stern and Netanel H. Lindner Science 8 March 2013: 339 (6124), 1179-1184. [DOI:10.1126/science.1231473]
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:37696
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:15 Apr 2013 19:36
Last Modified:15 Apr 2013 19:36

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