4 papers
Symmetric Quantum Latin Squares with Maximal Cardinality
Yiwen Zhang, Haitao Cao
In this paper, we prove that there exist a symmetric quantum Latin square with maximal cardinality of order for all , and a symmetric idempotent quantum Latin square w…
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.
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…
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…