On the construction of new toric quantum codes and quantum burst-error-correcting codes

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorFederal University of Tocantins-
Autor(es): dc.contributorSan Diego State University-
Autor(es): dc.contributorUniversidade Estadual de Campinas (UNICAMP)-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorTrinca, Cibele Cristina-
Autor(es): dc.creatorInterlando, J. Carmelo-
Autor(es): dc.creatorPalazzo, Reginaldo-
Autor(es): dc.creatorde Andrade, Antonio Aparecido-
Autor(es): dc.creatorWatanabe, Ricardo Augusto-
Data de aceite: dc.date.accessioned2025-08-21T23:09:58Z-
Data de disponibilização: dc.date.available2025-08-21T23:09:58Z-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2023-05-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1007/s11128-023-03931-4-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/247409-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/247409-
Descrição: dc.descriptionA toric quantum error-correcting code construction procedure is presented in this work. A new class of an infinite family of toric quantum codes is provided by constructing a classical cyclic code on the square lattice Zq× Zq for all odd integers q≥ 5 and, consequently, new toric quantum codes are constructed on such square lattices and from geometrically uniform codes regardless of whether q can be represented as a sum of two squares. Furthermore, this work supplies for each q the polyomino shapes that tessellate the corresponding square lattices and, consequently, tile the lattice Z2 . The quantum channel without memory to be considered for these constructed toric quantum codes is symmetric, since the Z2 -lattice is autodual. Moreover, we propose a quantum interleaving technique by using the constructed toric quantum codes, which shows that the code rate and the coding gain of the interleaved toric quantum codes are better than the code rate and the coding gain of Kitaev’s toric quantum codes for q= 2 n+ 1 , where n≥ 2 , and of an infinite class of Bombin and Martin-Delgado’s toric quantum codes. In addition to the proposed quantum interleaving technique that improves such parameters, it 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.descriptionDepartment of Mathematics and Statistics San Diego State University-
Descrição: dc.descriptionSchool of Electrical and Computer Engineering Campinas State University, SP-
Descrição: dc.descriptionDepartment of Mathematics São Paulo State University, SP-
Descrição: dc.descriptionSchool of Mathematics Statistics and Scientific Computing Campinas State University, SP-
Descrição: dc.descriptionDepartment of Mathematics São Paulo State University, SP-
Descrição: dc.descriptionCNPq: 101862/2022-9-
Idioma: dc.languageen-
Relação: dc.relationQuantum Information Processing-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectQuantum Burst-Error Correction-
Palavras-chave: dc.subjectQuantum Interleaving-
Palavras-chave: dc.subjectSquare Lattice-
Palavras-chave: dc.subjectToric Quantum Code-
Título: dc.titleOn the construction of new toric quantum codes and quantum burst-error-correcting codes-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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