Complex conference matrices have received considerable attention in the last few years due to their application in quantum information theory and in geometry. Various results and constructions are known for symmetric and Hermitian conference matrices. In this article, we deal mainly with constructions of complex skew-symmetric conference matrices. We classify all complex conference matrices up to order 5. Furthermore, we classify all complex symmetric, skew-symmetric and Hermitian conference matrices of order 6.

中文翻译：

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复杂的斜对称会议矩阵

由于在量子信息论和几何中的应用，复杂会议矩阵在过去几年中受到了相当大的关注。对称和 Hermitian 会议矩阵的各种结果和构造是已知的。在本文中，我们主要处理复杂的斜对称会议矩阵的构造。我们将所有复杂的会议矩阵分类到 5 阶。此外，我们对所有复杂的对称、斜对称和 Hermitian 会议矩阵进行分类，阶数为 6。