Mañana, JUEVES, 24 DE ABRIL, el sistema se apagará debido a tareas habituales de mantenimiento a partir de las 9 de la mañana. Lamentamos las molestias.
Extendable orthogonal sets of integral vectors
Entidad
UAM. Departamento de MatemáticasEditor
SpringerFecha de edición
2022-09-22Cita
10.1007/s40687-022-00357-9
Research in the Mathematical Sciences 9 (2022): 59
ISSN
2522-0144 (print); 2197-9847 (online)DOI
10.1007/s40687-022-00357-9Financiado por
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)Proyecto
Gobierno de España. PID2020-113350GB-I00; Gobierno de España. PID2019-110224RB-I00Versión del editor
https://doi.org/10.1007/s40687-022-00357-9Materias
Quaternions; Sums of squares; Orthogonality; Cayley numbers; Clifford algebras; MatemáticasDerechos
© The Author(s) 2022Resumen
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
Lista de ficheros
Google Scholar:Chamizo Lorente, Fernando
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Jiménez-Urroz, Jorge
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