量子群与Hadamard矩阵
Quantum groups and Hadamard matrices
摘要:
对于任何复阿达玛矩阵,我们都可以联系到一个量子置换群。这种对应关系不是一对一的,但量子群包含了矩阵的许多微妙性质。我们调查的建设的各个方面:兼容性的产品操作,表征的矩阵,使通常的群体,明确的计算小矩阵。
英文摘要:
To any complex Hadamard matrix we associate a quantum permutation group. The correspondence is not one-to-one, but the quantum group encapsulates a number of subtle properties of the matrix. We investigate various aspects of the construction: compatibility to product operations, characterization of matrices which give usual groups, explicit computations for small matrices.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。