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

Mingzhen Lv, Yuyuan Zhang, Haitao Cao

Source record

Source: arXiv

Published: Sep 24, 2026

arXiv: 2609.29070

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Source 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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