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Title Códigos de subespaço geometricamente uniformes e uma proposta de construção de redes quânticas: Geometrically uniform subspace codes and a proposal to construct quantum networks
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University/Publisher Universidade Estadual de Campinas
Abstract Abstract: Subspace codes have been very useful to solve the error propagation in a multicast linear network. In particular, the orbit codes family presents a well-defined algebraic structure, which it will probably provide constructions of good decoding algorithms and a systematic way to compute the parameters of the code. In this work, we present a study of orbit codes seen as geometrically uniform codes. The characterization of both classes is direct from the definition of orbit codes and, given a uniform geometrically partition of these orbit codes from their normal subgroups of the generator group, we propose a reduction of the computation necessary for obtaining the minimum distances of an abelian orbit code and an L-level code, in addition to a decoding algorithm based on Voronoi regions. In the last chapter, we propose a hypothetical quantum network coding for the transmission of quantum information. This network consists of maximum entangled pure quantum states such that each ket of these states is associated with a vector subspace
Subjects/Keywords Códigos corretores de erros (Teoria da informação); Comunicação quântica; Error correcting codes (Information theory); Quantum communication
Contributors UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP); Palazzo Júnior, Reginaldo, 1951- (advisor); Universidade Estadual de Campinas. Faculdade de Engenharia Elétrica e de Computação (institution); Programa de Pós-Graduação em Engenharia Elétrica (nameofprogram); Ferrari, Agnaldo José (committee member); Torres Orihuela, Fernando Eduardo (committee member); Guardia, Giuliano Gadioli La (committee member); Guerreiro, Marines (committee member)
Country of Publication br
Record ID oai:repositorio.unicamp.br:REPOSIP/325322
Repository unicamp
Date Indexed 2020-09-09
Issued Date 2017-01-01 00:00:00
Note [] Orientador: Reginaldo Palazzo Junior; [] Tese (doutorado) - Universidade Estadual de Campinas, Faculdade de Engenharia Elétrica e de Computação; [degreelevel] Doutorado; [degreediscipline] Telecomunicações e Telemática; [degreename] Doutor em Engenharia Elétrica; [sponsordocumentnumber] 142094/2013-7; [sponsor] CAPES; [sponsor] CNPQ;

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