标题： 从费曼路径积分和分裂四元数得到的克拉特楚克矩阵 显示英文标题

标题： Krawtchouk matrices from the Feynman path integral and from the split quaternions

摘要： 给出了Krawtchouk矩阵与离散版本的费曼路径积分相对应的一种解释。此外，还提供了基于分裂四元数代数的代数特征描述。由此得出的性质包括谱分解的简单推导。这也是阐明Krawtchouk矩阵在量子信息等领域中作用的一个契机。 显示英文摘要

摘要： An interpretation of Krawtchouk matrices in terms of discrete version of the Feynman path integral is given. Also, an algebraic characterization in terms of the algebra of split quaternions is provided. The resulting properties include an easy inference of the spectral decomposition. It is also an occasion for an expository clarification of the role of Krawtchouk matrices in different areas, including quantum information.