Demonstration of entanglement and coherence in GHZ-like state when exposed to classical environments with power-law noise

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.