Extendable orthogonal sets of integral vectors
| Autor: | Fernando Chamizo, Jorge Jiménez-Urroz |
|---|---|
| Přispěvatelé: | UAM. Departamento de Matemáticas |
| Rok vydání: | 2022 |
| Předmět: |
Sums of squares
Mathematics - Number Theory Matemáticas Applied Mathematics Cayley numbers Clifford algebras Theoretical Computer Science Computational Mathematics Mathematics (miscellaneous) FOS: Mathematics Mathematics::Differential Geometry Number Theory (math.NT) Quaternions Orthogonality 11D09 11E25 11D85 |
| Zdroj: | Biblos-e Archivo. Repositorio Institucional de la UAM instname |
| ISSN: | 2197-9847 2522-0144 2020-1133 |
| DOI: | 10.1007/s40687-022-00357-9 |
| Popis: | Motivated by a model in quantum computation, we study orthogonal sets of integral vectors of the same norm that can be extended with new vectors keeping the norm and the orthogonality. Our approach involves some arithmetic properties of the quaternions and other hypercomplex numbers Fernando Chamizo is partially supported by the PID2020-113350GB-I00 Grant of the MICINN (Spain) and by “Severo Ochoa Programme for Centres of Excellence in R&D” (SEV-2015-0554). This latter grant supported the visit of Jorge Jiménez-Urroz to the ICMAT where this work was completed. He is partially supported by the PID2019-110224RB-I00 Grant of the MICINN (Spain) |
| Databáze: | OpenAIRE |
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