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arXiv · 2605.15540

Three Quantum Latin Squares of Order 6 with Cardinalities 13, 15, and 17

Zhipeng Xu
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Abstract

We give three explicit quantum Latin squares of order $6$, with cardinalities $13$, $15$, and $17$. Throughout, vectors differing only by a global phase are counted as identical. The cardinality-$13$ construction is based on an orthogonal direct-sum decomposition $\C^6=\C^4\oplus\C^2$. The cardinality-$15$ and cardinality-$17$ constructions are based on two-dimensional Hadamard pairs supported on coordinate planes.

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Zhipeng Xu. 2026-05-19. Three Quantum Latin Squares of Order 6 with Cardinalities 13, 15, and 17. https://arxiv.org/abs/2605.15540

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