Hybrid Field Perspectives on Coherence and Entanglement in Qubit-Qutrit Dynamics

Abstract

In modern quantum information, the associated protocols highly rely upon qubit-qutrit systems which offer enhanced robustness to decoherence and greater encoding capabilities, essential for fault-tolerant quantum computing and cryptography. This study investigates the dynamic behavior of quantum coherence and entanglement in a qubit-qutrit system subjected to diverse interactions and exposed to external magnetic and classical fields influenced by Ornstein-Uhlenbeck (OU)-Static mixed noise. Various system parameters are explored to discern their impact on quantum correlations over time. The dynamics characterized by spin-coupling reveal an initial entangled state, with coherence and negativity exhibiting finite values. However, the entanglement diminishes over time, accompanied by damped oscillations, indicative of coherent dynamics. Contrastingly, the magnetic field demonstrates a diminishing trajectory in coherence and negativity with increasing values, leading to complete vanishing at critical thresholds. Temperature variations display a declining trend in coherence and negativity as temperature rises, highlighting its role as a dampening factor disrupting quantum correlations. The variations in state noise disorder parameters reveal enhanced preservation and reduced oscillations as the noise disorder parameter decreases, emphasizing its crucial role in shaping quantum correlations. In addition, we observe the dynamics to be more fluctuating with increasing field coupling strength. Our findings show that the hybrid setup presented here gives completely varying traits compared to the individual configuration of qubit-qutrit systems, static noise, and OU noise studied previously. The proposed framework can serve as a prototype for studying quantum systems beyond two-level qubits, providing a more comprehensive understanding of multi-level quantum states under realistic noise.