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PreprintarXiv licencearXiv

Orthogonal Quantum Latin Squares with Maximal Cardinality from Full-Rank Factorizations

  • Mingzhen Lv
  • Yuyuan Zhang
  • Haitao Cao
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Abstract

In this paper, we investigate the existence of pairs of orthogonal quantum Latin squares, each with maximal cardinality. Using characters and full-rank factorizations of finite abelian groups, together with a product construction, we establish two infinite families of orders for which such pairs exist.

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Cite

BibTeXRIS
BibTeX
@misc{lv2026orthogonal,
  title = {{Orthogonal Quantum Latin Squares with Maximal Cardinality from Full-Rank Factorizations}},
  author = {Mingzhen Lv and Yuyuan Zhang and Haitao Cao},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.29070},
  eprint = {2609.29070},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.29070},
}
RIS
TY  - UNPB
TI  - Orthogonal Quantum Latin Squares with Maximal Cardinality from Full-Rank Factorizations
AU  - Mingzhen Lv
AU  - Yuyuan Zhang
AU  - Haitao Cao
PY  - 2026
DA  - 2026/09/24
PB  - arXiv
DO  - 10.48550/arxiv.2609.29070
UR  - https://arxiv.org/abs/2609.29070
AB  - In this paper, we investigate the existence of pairs of orthogonal quantum Latin squares, each with maximal cardinality. Using characters and full-rank factorizations of finite abelian groups, together with a product construction, we establish two infinite families of orders for which such pairs exist.
ER  -