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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.15540 |
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| _version_ | 1866918511202271232 |
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| author | Xu, Zhipeng |
| author_facet | Xu, Zhipeng |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_15540 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Three Quantum Latin Squares of Order 6 with Cardinalities 13, 15, and 17 Xu, Zhipeng Combinatorics 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. |
| title | Three Quantum Latin Squares of Order 6 with Cardinalities 13, 15, and 17 |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2605.15540 |