arXiv subjects

Yuyuan Zhang

Publications and source records attributed to Yuyuan Zhang.

2 recordsLinked to original sources

arXiv2026

Resolvable quantum Latin squares with maximal cardinality

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-cardinality $1\text{-}\text{RQLS}(v)$ with $17$ possible exceptions based on the established research result and construct a maximal-cardinality $2\text{-}\text{RQLS}(n^2)$ for every integer $n\geq6$.

math.CO↗

arXiv2026

On the possible cardinalities of quantum Latin squares

In this paper, we show that for any integer $v \ge 8$ with $v \ne 9,11,23$, a quantum Latin square of order $v$ exists for every cardinality $c \in [v,\,v^{2}] \setminus \{\,v+1\,\}$.

math.CO↗