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PreprintarXiv licencearXiv

Symmetric Quantum Latin Squares with Maximal Cardinality

Abstract

In this paper, we prove that there exist a symmetric quantum Latin square with maximal cardinality of order n for all n≥ 6, and a symmetric idempotent quantum Latin square with maximal cardinality of order 4k+2 for all k≥ 1.

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BibTeX
@misc{zhang2026symmetric,
  title = {{Symmetric Quantum Latin Squares with Maximal Cardinality}},
  author = {Yiwen Zhang and Haitao Cao},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.24653},
  eprint = {2609.24653},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.24653},
}
RIS
TY  - UNPB
TI  - Symmetric Quantum Latin Squares with Maximal Cardinality
AU  - Yiwen Zhang
AU  - Haitao Cao
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.24653
UR  - https://arxiv.org/abs/2609.24653
AB  - In this paper, we prove that there exist a symmetric quantum Latin square with maximal cardinality of order n for all n≥ 6, and a symmetric idempotent quantum Latin square with maximal cardinality of order 4k+2 for all k≥ 1.
ER  -