  We address entanglement, coherence, and information protection in a system of
four non-interacting qubits coupled with different classical environments,
namely: common, bipartite, tripartite, and independent environments described
by Ornstein-Uhlenbeck (ORU) noise. We show that quantum information preserved
by the four qubit state is more dependent on the coherence than the
entanglement using time-dependent entanglement witness, purity, and Shannon
entropy. We find these two quantum phenomena directly interrelated and highly
vulnerable in environments with ORU noise, resulting in the pure exponential
decay of a considerable amount. The current Markovian dynamical map, as well as
suppression of the fluctuating character of the environments are observed to be
entirely attributable to the Gaussian nature of the noise. Furthermore, the
increasing number of environments are witnessed to accelerate the amount of
decay. Unlike other noises, the current noise parameter's flexible range is
readily exploitable, ensuring long enough preserved memory properties. The
four-qubit GHZ state, besides having a large information storage potential,
stands partially entangled and coherent in common environments for an
indefinite duration. Thus, it appeared to be a more promising resource for
functional quantum computing than bipartite and tripartite quantum systems. In
addition, we derive computational values for each system-environment
interaction, which will help quantum practitioners to optimize the related kind
of classical environments.
