  Quantum information processing exploits non-local functionality that has led
to significant breakthroughs in the successful deployment of quantum mechanical
protocols. In this regard, we address the dynamics of entanglement and
coherence for three non-interacting qubits initially prepared as maximally
entangled GHZ-like state coupled with independent classical environments. Two
different Gaussian noises in pure and mixed noisy situations, namely, pure
power-law noise, pure fractional Gaussian noise, power-law noise maximized and
fractional Gaussian noise maximized cases are assumed to characterize the
environments. With the help of time-dependent entanglement witnesses, purity,
and decoherence measures, within the full range of parameters, we show that the
current mixed noise cases are more detrimental than pure ones where
entanglement and coherence are found short-lived. The power-law noise phase, in
particular, appears to be more flexible and exploitable for long-term
preservation effects. In contrast, we find that in both pure and mixed noise
cases, where entanglement and coherence degrade at a relatively high rate,
there is no ultimate solution for avoiding the detrimental dephasing effects of
fractional Gaussian noise. The three-qubit state becomes disentangled and
decoherent within independent classical environments driven by both pure and
mixed Gaussian noises, either in long or short interaction time. In addition,
due to the lack of the entanglement revival phenomenon, there is no information
exchange between the system and the environment. The three-qubit GHZ-like
states have thus been realized to be an excellent resource for long enough
quantum correlations, coherence, and quantum information preservation in
classical independent channels driven by pure power-law noise with extremely
low parameter values.
