New three- and four-dimensional toric and burst error-correcting quantum codes

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorFederal University of Tocantins-
Autor(es): dc.contributorUniversidade Estadual de Campinas (UNICAMP)-
Autor(es): dc.contributorFederal University of Cariri-
Autor(es): dc.contributorSan Diego State University-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorTrinca, Cibele Cristina-
Autor(es): dc.creatorPalazzo, Reginaldo-
Autor(es): dc.creatorWatanabe, Ricardo Augusto-
Autor(es): dc.creatorde Albuquerque, Clarice Dias-
Autor(es): dc.creatorInterlando, J. Carmelo-
Autor(es): dc.creatorde Andrade, Antonio Aparecido-
Data de aceite: dc.date.accessioned2025-08-21T19:15:21Z-
Data de disponibilização: dc.date.available2025-08-21T19:15:21Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2024-01-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/s11128-023-04213-9-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/306083-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/306083-
Descrição: dc.descriptionOngoing research and experiments have enabled quantum memory to realize the storage of qubits. On the other hand, interleaving techniques are used to deal with burst of errors. Effective interleaving techniques for combating burst of errors by using classical error-correcting codes have been proposed in several articles found in the literature; however, to the best of our knowledge, little is known regarding interleaving techniques for combating bursts of errors in topological quantum error-correcting codes. Motivated by that, in this work, we present new three- and four-dimensional toric quantum codes which are characterized by lattice codes and apply a quantum interleaving method to such new three- and four-dimensional toric quantum codes. By applying such an interleaving method to these new codes, we provide new three- and four-dimensional quantum burst error-correcting codes. As a consequence, new three- and four-dimensional toric and burst error-correcting quantum codes are obtained which have higher code rate and coding gain than those three- and four-dimensional toric quantum codes from the literature. In addition to these proposed three- and four-dimensional quantum burst error-correcting codes improve the code rate and coding gain, they can be used for burst error correction in errors which are located, quantum data stored and quantum channels with memory.-
Descrição: dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)-
Descrição: dc.descriptionDepartment of Biotechnology and Bioprocess Engineering Federal University of Tocantins, TO-
Descrição: dc.descriptionSchool of Electrical and Computer Engineering Campinas State University, SP-
Descrição: dc.descriptionSchool of Mathematics Statistics and Scientific Computing Campinas State University, SP-
Descrição: dc.descriptionScience and Technology Center Federal University of Cariri, CE-
Descrição: dc.descriptionDepartment of Mathematics and Statistics San Diego State University-
Descrição: dc.descriptionDepartment of Mathematics São Paulo State University, SP-
Descrição: dc.descriptionDepartment of Mathematics São Paulo State University, SP-
Descrição: dc.descriptionCNPq: 101862/2022-9-
Descrição: dc.descriptionCNPq: 305239/2020-1-
Idioma: dc.languageen-
Relação: dc.relationQuantum Information Processing-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectHypercubic lattice-
Palavras-chave: dc.subjectLattice code-
Palavras-chave: dc.subjectQuantum burst error correction-
Palavras-chave: dc.subjectQuantum interleaving-
Palavras-chave: dc.subjectToric quantum code-
Título: dc.titleNew three- and four-dimensional toric and burst error-correcting quantum codes-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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