Extendable orthogonal sets of integral vectors
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
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad Autónoma de Madrid |
| Repositorio: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.uam.es:10486/704252 |
| Acceso en línea: | http://hdl.handle.net/10486/704252 https://dx.doi.org/10.1007/s40687-022-00357-9 |
| Access Level: | acceso abierto |
| Palabra clave: | Quaternions Sums of squares Orthogonality Cayley numbers Clifford algebras Matemáticas |
| Sumario: | 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 |
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