Extendable orthogonal sets of integral vectors
Number Theory
2022-03-22 v1
Abstract
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.
Cite
@article{arxiv.2203.10635,
title = {Extendable orthogonal sets of integral vectors},
author = {Fernando Chamizo and Jorge Jiménez Urroz},
journal= {arXiv preprint arXiv:2203.10635},
year = {2022}
}
Comments
14 pages