3 papers
math.CO2026
Orthogonal Quantum Latin Squares with Maximal Cardinality from Full-Rank Factorizations
Mingzhen Lv, Yuyuan Zhang, Haitao Cao
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 abe…
math.CO2026
Quantum Latin Hypercubes with Maximal Cardinality
Mingzhen Lv, Haitao Cao
We construct quantum Latin squares with maximal cardinality and quantum Latin hypercubes with maximal cardinality over the real field.
math.CO2026
On the possible cardinalities of quantum Latin squares
Yuyuan Zhang, Mingzhen Lv, Haitao Cao
In this paper, we show that for any integer \(v \ge 8\) with \(v \ne 9,11,23\), a quantum Latin square of order exists for every cardinality \(c \in [v,\,v^{2}] \setminus \{\,v…