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When subjected to a classical fluctuating field characterized by a Gaussianprocess, we examine the {purity} and coherence protection in a three-levelquantum system. This symmetry of the three-level system is examined when thelocal random field is investigated further in the noiseless and noisy regimes.In~particular, we consider fractional Gaussian, Gaussian, Ornstein--Uhlenbeck,and~power law noisy regimes. We show that the destructive nature of theOrnstein--Uhlenbeck noise toward the symmetry of the qutrit to preserve encoded{purity and coherence} remains large. Our findings suggest that properlyadjusting the noisy parameters to specifically provided values can facilitateoptimal extended {purity and coherence} survival. Non-vanishing terms appear inthe final density matrix of the single qutrit system, indicating that it is ina strong coherence regime. Because~of all of the Gaussian noises, monotonicdecay with no revivals has been observed in the single qutrit system. In~termsof coherence and information preservation, we find that the current qutritsystem outperforms systems with multiple qubits or qutrits using purity and vonNeumann entropy. A~comparison of noisy and noiseless situations shows that thefluctuating nature of the local random fields is ultimately lost wheninfluenced using the classical Gaussian noises

Decoherence Effects in a Three-Level System under Gaussian Process