论文标题
Clifford代数的指数和基本函数计算中的特征多项式
The characteristic polynomial in calculation of exponential and elementary functions in Clifford algebras
论文作者
论文摘要
为任意的Clifford几何代数CL提供了以无基本表示和正顺序为基础计算多生动指数的公式（P，Q）。该公式基于对多个生机特征多项式根的分析。提出了详尽的示例如何在实践中使用公式。结果可能在量子电路或纠缠量子状态进化的问题中有用。
Formulas to calculate multivector exponentials in a base-free representation and in a orthonormal basis are presented for an arbitrary Clifford geometric algebra Cl(p,q). The formulas are based on the analysis of roots of characteristic polynomial of a multivector. Elaborate examples how to use the formulas in practice are presented. The results may be useful in the quantum circuits or in the problems of analysis of evolution of the entangled quantum states.
