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Formulas to calculate multivector exponentials in a base-free representationand in a orthonormal basis are presented for an arbitrary Clifford geometricalgebra Cl(p,q). The formulas are based on the analysis of roots ofcharacteristic polynomial of a multivector. Elaborate examples how to use theformulas in practice are presented. The results may be useful in the quantumcircuits or in the problems of analysis of evolution of the entangled quantumstates.

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