  A dynamical decoupling scheme for the deterrence of errors in the
non-Markovian (usually corresponding to low temperature, short time, and strong
coupling) regimes suitable for qubits constructed out of a multilevel structure
is studied. We use the effective spin-boson model (ESBM) introduced recently
[K. Shiokawa and B. L. Hu, Phys. Rev. A70, 062106 (2004)] as a low temperature
limit of the quantum Brownian oscillator model, where one can obtain exact
solutions for a general environment with colored noises. In our decoupling
scheme a train of pairs of strong pulses are used to evolve the interaction
Hamiltonian instantaneously. Using this scheme we show that the dynamical
decoupling method can suppress $1/f$ noise with slower and hence more
accessible pulses than previously studied, but it still fails to decouple
super-Ohmic types of environments.
