Multipartite quantum correlations and coherence dynamics subjected to classical environments and fractional Gaussian noise Atta Ur Rahman, 1, 2 Muhammad Javed, 2 Lionel Tenemeza Kenfack, 3, ∗ and Salman Khan Safi 4 1 Key Laboratory of Aerospace Information Security and Trusted Computing, Ministry of Education, School of Cyber Science and Engineering, Wuhan University, China 2 Quantum Optics and Quantum Information Research Group, Department of Physics, University of Malakand, Chakdara Dir, Pakistan 3 Mesoscopic and Multilayer Structure Laboratory, Department of Physics, Faculty of Science, University of Dschang, PO Box: 67 Dschang, Cameroon. 4 COMSATS University, Park Road, Chak Shahzad, Islamabad, PO Box: 44000, Pakistan We address the dynamical map of entanglement and coherence in a four qubit maximally entangled GHZ states coupled with classical environments driven by frac- tional Gaussian noise. The system-environment coupling is assumed in four different schemes: common, bipartite, tripartite, and independent system-environment con- figuration. We show that entanglement preservation can be modeled in multipartite GHZ-like states using parameter optimization in the current local environments ex- cept for the independent configuration. The decay is characterized by monotonous functions in time and the exact fluctuating behaviour of the local fields, as well as entanglement sudden death and birth revivals, are completely suppressed. Not only noise but also the nature of qubit-environment coupling and the number of independent environments coupled, have dephasing effects on the entanglement and coherence preservation. Furthermore, as the Hurst parameter of fractional Gaussian noise is increased, the decay becomes delayed initially. Finally, the four-qubit GHZ state is found to be a good resource for quantum information processing that can withstand noise dissipation, particularly under a common noise source. Keywords: Entanglement, decoherence, classical fluctuating fields, fractional Gaussian noise I. Introduction Quantum computers have emerged as leading-edge advanced devices that are far supe- rior in functionality and most certain in practical applications. The quantum mechanical phenomena which control the tasks to be accomplished are the major preoccupations and working concepts of quantum computers. Therefore, physical phenomena and the corre- sponding functional concepts are just as important to consider as quantum computers [1, 2]. Entanglement and coherence, among many other phenomena, are undeniably the most sig- nificant for efficient quantum mechanical operations [3, 4]. Without a doubt, entanglement and coherence are at the root of nearly all quantum computing applications. For this reason, * kenfacklionel300@gmail.com arXiv:2111.02220v1 [quant-ph] 3 Nov 2021