  Preserving quantum coherence is fundamental challenge in the field of quantum
computation. Here, I investigate the frozen discord phenomenon and
non-Markovianity for qubits experiencing local dephasing in a classical
environment. The quantum discord of a certain initial bipartite state,
independently interacting with stochastic Gaussian fields, can be frozen for a
finite time. The preservation of discord is shown to be intimately related to
the backflow of information from the environment. The relevant result for
quantum dephasing environment is compared.
