3 papers
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
Resolvable quantum Latin squares with maximal cardinality
Yuyuan Zhang, Haitao Cao
In this paper we investigate the existence of a maximal-cardinality \(t\)-resolvable quantum Latin square (\(t\text{-}\text{RQLS}(v)\)). We determine the existence of a maximal-car…
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…