  Entanglement and coherence protection are investigated using the dynamical
map of three non-interacting qubits that are initially prepared as maximally
entangled GHZ-like states coupled to external fields in solid-state and
superconducting materials. Thermal fluctuations and resistance in these
materials produce power-law (PL) noise, which we assume controls external
fields in three different configurations with single or multiple noise sources.
The genuine response of isolated environments to entanglement and coherence
retention is analyzed. We also briefly discuss the initial purity and relative
efficiency of the GHZ-like states. Unlike the multiple PL noise sources,
exposure, the GHZ-class state remains partially entangled and coherent for an
indefinite time when subject to single noise source. However, long-term
non-local correlation and coherence are still feasible under multiple noise
sources. Due to the lack of back-action of the environments, the conversion of
the free state into the resource GHZ-class states is not allowed. The parameter
optimization, in addition to the noise phase, regulates disorders, noise
effects, and memory properties in the current environments. Unlike the
bipartite states and tripartite W-type states, the GHZ-like state has been
shown to have positive traits of preserving entanglement and coherence against
PL noise.
