  The author adopts previously developed methods of quantum propagation which
use trajectory-guided sets of Gaussian Coherent States for the use with SU(2)
Coherent States. Motivated by recent experiments, the author applies the
technique to the simulation of quantum dynamics in a chain of coupled qubits.
Because of the short time dynamics can be reproduced on a selected small basis
set of Coupled SU(2) Coherent States. To recover long-time dynamics observed in
the experiment propagation on a small localised basis is combined with
projection on an optimised static basis.
