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arXiv · 2609.29070

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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Mingzhen Lv, Yuyuan Zhang, Haitao Cao. 2026-09-24. Orthogonal Quantum Latin Squares with Maximal Cardinality from Full-Rank Factorizations. https://arxiv.org/abs/2609.29070

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