Visualizing sudden transition of decoherence via quantum steering ellipsoid

In the past decade, there has been significant attention on the sudden transition and freezing phenomena of quantum correlations in open system dynamics. In this study, we aim to explore how the quantum steering ellipsoid can be used to characterize the sudden transition of decoherence. Our findings reveal that the shape of the quantum steering ellipsoid undergoes a qualitative change at the transition point during the decoherence process under two commonly encountered noise channels. This observation provides valuable insights into the connection between the sudden transition of decoherence and the geometric properties of the quantum steering ellipsoid. We gain a deeper understanding of this relationship by visually analyzing the changes in the ellipsoid’s shape. Additionally, we compare these results with those obtained using the one-norm geometric quantum discord. This comparison further validates the significance of the sudden transition observed in the quantum steering ellipsoid and highlights the advantages of using this geometric measure. Overall, our study contributes to the understanding of quantum correlations in open systems and provides a visually appealing and intuitive way to analyze the sudden transitions of decoherence using the quantum steering ellipsoid.