The TEBD algorithm is a good candidate for parallel computing because the exponential operators used to calculate the time-evolution factorize under the Suzuki-Trotter expansion.
2.
The exponential operator e ^ { T } may be expanded as a Taylor series and if we consider only the T _ 1 and T _ 2 cluster operators of T, we can write:
3.
The two exponential operators compensate and correct for, respectively, the amplitude effect ( i . e . the energy absorption ) and the phase effect ( i . e . the velocity dispersion ) of the earth Q filter.