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Bibliographic Details
Main Author: Xu, Zhipeng
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2605.15540
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Table of 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.