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Title: Computing with quantum knots: Marjorana modes, non-Abelian anyons, and topological quantum computation

I will discuss the revolutionary new concept of topological quantum computation, which is fault-tolerant at the hardware level with no need, in principle, of any quantum error correction protocols. Ermore »rors simply do not occur since the physical qubits and the computation steps are protected against decoherence by non-local topological correlations in the underlying physical system. The key idea is non-Abelian statistics of the quasiparticles (called 'anyons' as opposed to fermions or bosons), where the space-time braiding of the anyons around each other, i.e. quantum 'knots', form topologically protected quantum gate operations. I will describe in detail the theoretical principles guiding the experimental search for the appropriate topological phases of matter where such non-Abelian anyons, which are low-dimensional solid state versions of the elusive and exotic Majorana fermions hypothesized seventy-five years ago, may exist. I will critically discuss the recent experimental claims of observing the Majorana modes in semiconductor nanowire structures following earlier theoretical proposals, outlining the future developments which would be necessary to eventually build a topological quantum computer.« less
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Title: Computing with quantum knots: Marjorana modes, non-Abelian anyons, and topological quantum computation
Authors:
Publication Date: 2012-10-03
OSTI Identifier: 1087322
DOE Contract Number: AC02-07CH11359
Resource Type: Multimedia
Resource Relation: Conference: Fermilab Colloquia, Fermi National Accelerator Laboratory (FNAL), Batvia, Illinois (United States), presented on October 3, 2012
Research Org: FNAL (Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States))
Sponsoring Org: USDOE Office of Science (SC)
Subject: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Country of Publication: United States
Language: English
Run Time: 1:10:50
System Entry Date: 2016-01-27