Dynamics and protection of quantum correlations in a qubit–qutrit system subjected locally to a classical random field and colored noise

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

“…Besides, according to Ref. [49,52,58], the current findings contradict the tripartite quantum system dynamics observed under coloured and random telegraph noises, where significant ESD and ESB revivals were observed. Entanglement of bipartite and tripartite states, on the other hand, match the current dynamical picture under fractional Gaussian and Ornstein Uhlenbeck noise, as cited in [56,57,59,61].…”

“…Because of the entanglement generation between the system and the environment, we conclude that the initially prepared pure GHZ-class states transform into mixed states under PL noise except, in the case of COM configuration at p = 1. The dynamics of quantum discord obtained under various non-Gaussian noises differ completely from the current time evolution of the N (τ ) under PL noise [29,52,58]. Aside from that, we discovered that the GHZ-class state remained more stable, entangled, and coherent than the two-qubit maximal entangled state, as seen in [61], under PL noise.…”

“…This contradicts the quantum dynamics observed in [64] under Gaussian distributed classical environments characterized by Ornstein Uhlenbeck noise. By comparing previously studied tripartite, bipartite pure and hybrid quantum states, it is possible to conclude that the existence of revivals entirely depends on the type of noise and environment involved, as the same states are found to have revivals against Gaussian, static, and coloured noises given in [47,52,58,63,64]. Aside from that, the revivals also depend on the special properties of the environmental noise, such as the Markov and non-Markov characteristics.…”

“…5. Besides, GQD is the geometric quantum discord used to quantify quantum correlations in [58]. Note that the values are obtained from the final saturation levels (i.e.…”

Geometric quantum discords under Hierarchical-environment with filtering operator

“…In a Kitaev spin chain [46], we can find that the quantum discord is less than the concurrence away from the critical region, and the quantum discord is nonzero for all times in the critical region, though the entanglement is near zero. It was also demonstrated that the immunity of QD against decoherence can be efficiently increased by properly adjusting the parameters of the input states, no matter the spectrum of the colored noise and the number of random bistable fluctuators (RBFs) considered [47] . In addition, Mohamed et al [48] illustrated that the dynamics of geometric quantum discord (GQD) under the effects of the coupling of the qubit-cavity and the fibercavity interactions as well as the cavity dissipations, some valuable conclusions have been obtained.…”