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PreprintarXiv licencearXiv

Resolvable quantum Latin squares with maximal cardinality

Abstract

In this paper we investigate the existence of a maximal-cardinality t-resolvable quantum Latin square (t−RQLS(v)). We determine the existence of a maximal-cardinality 1−RQLS(v) with 17 possible exceptions based on the established research result and construct a maximal-cardinality 2−RQLS(n2) for every integer n≥6.

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BibTeX
@misc{zhang2026resolvable,
  title = {{Resolvable quantum Latin squares with maximal cardinality}},
  author = {Yuyuan Zhang and Haitao Cao},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.29201},
  eprint = {2608.29201},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.29201},
}
RIS
TY  - UNPB
TI  - Resolvable quantum Latin squares with maximal cardinality
AU  - Yuyuan Zhang
AU  - Haitao Cao
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2608.29201
UR  - https://arxiv.org/abs/2608.29201
AB  - In this paper we investigate the existence of a maximal-cardinality t-resolvable quantum Latin square (t−RQLS(v)). We determine the existence of a maximal-cardinality 1−RQLS(v) with 17 possible exceptions based on the established research result and construct a maximal-cardinality 2−RQLS(n^2) for every integer n≥6.
ER  -