Extendable orthogonal sets of integral vectors

被引：0

作者：

Fernando Chamizo

Jorge Jiménez-Urroz

机构：

[1] Universidad Autónoma de Madrid,Departamento de Matemáticas and ICMAT

[2] Universitat Politècnica de Catalunya,Departamento de Matemáticas

来源：

Research in the Mathematical Sciences | 2022年 / 9卷

关键词：

Quaternions; Sums of squares; Orthogonality; Cayley numbers; Clifford algebras; 11D09; 11E25; 11D85;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

共 50 条

[1] Extendable orthogonal sets of integral vectors
Chamizo, Fernando
Jimenez-Urroz, Jorge
RESEARCH IN THE MATHEMATICAL SCIENCES, 2022, 9 (04)
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[9] Sets with many pairs of orthogonal vectors over finite fields
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FINITE FIELDS AND THEIR APPLICATIONS, 2016, 37 : 179 - 192
[10] Semi-orthogonal versus orthogonal wavelet basis sets for solving integral equations
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