Note on Calculations of the Exponential of Matrices by use of the Magic Matrix in the Four Level System

Kozo Fujii · 2007

In this paper we treat how to calculate the exponential of some matrices once more, which are evolution operators derived from differential equations based on the four level system of atom and give a consistent method by use of the magic matrix by Makhlin. Moreover, we give a closed form to the B-C-H formula for a class of matrices in SU(4) by use of the method developed in quant-ph/0610009.

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