Related papers: The characteristic polynomial in calculation of exponential and elementary functions in Clifford algebras

The characteristic polynomial in calculation of exponential and elementary functions in Clifford algebras

URL: http://arxiv.org/abs/2205.11984v1
Date: Tue, 24 May 2022 11:31:32 GMT
Title: The characteristic polynomial in calculation of exponential and elementary functions in Clifford algebras
Authors: Arturas Acus and Adolfas Dargys
Abstract summary: Formulas to calculate multivector exponentials in a base-free representation are presented. The results may be useful in quantum circuits or in the problems of analysis of evolution of entangled quantum states.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: 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.

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