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Topological materials and topological quantum computing

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dc.contributor.author KANTSER, V.
dc.date.accessioned 2019-11-05T12:42:24Z
dc.date.available 2019-11-05T12:42:24Z
dc.date.issued 2011
dc.identifier.citation KANTSER, V. Topological materials and topological quantum computing. In: Microelectronics and Computer Science: proc. of the 7th intern. Conf., September 22-24, 2011. Chişinău, 2011, vol. 1, pp. 19-22. ISBN 978-9975-45-174-1. en_US
dc.identifier.isbn 978-9975-45-174-1
dc.identifier.uri http://repository.utm.md/handle/5014/6110
dc.description.abstract A paradigm to build a quantum computer based on topological invariants is highlighted. The identities in the ensemble of knots, links and braids originally discovered in relation to topological quantum field theory are generalized to define Artin braid group—the mathematical basis of topological quantum computation (TQC). Vector spaces of TQC correspond to associated strings of particle interactions and TQC operates its calculations on braided strings of special physical qvasiparticles—anyons with non-Abelian statistics. The physical platform of TQC is to use the topological quantum numbers of small groups of anyons as qubits and to perform operations on these qubits by exchanging the anyons, both within the groups that form the qubits and, for multi-qubit gates, between groups. By braiding two or more anyons, they acquire up a topological phase or Berry phase similar to that found in the Aharonov-Bohm effect. Topological matter such as fractional quantum Hall systems and novel discovered topological insulators open the way to form system of anyons—Majorana fermions— with the unique property of encoding and processing quantum information in a naturally fault-tolerant way. In the topological insulators due to its fundamental attribute of topological surface state occurrence the bound Majorana fermions are generated at its heterocontact with superconductors.One of the key operations of TQC—braiding of non-Abelian anyons— it is illustrated how can be implemented in one-dimensional topological isolator wire networks. en_US
dc.language.iso en en_US
dc.publisher Technical University of Moldova en_US
dc.rights Attribution-NonCommercial-NoDerivs 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/us/ *
dc.subject topological quantum computation en_US
dc.subject braided strings en_US
dc.subject vector spaces en_US
dc.subject qubits en_US
dc.subject anyons en_US
dc.subject topological phases en_US
dc.subject topological insulators en_US
dc.subject Majorana fermions en_US
dc.subject braiding en_US
dc.subject wire networks en_US
dc.title Topological materials and topological quantum computing en_US
dc.type Article en_US


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