Tripartite Uncertainty, Quantum, and Classical Correlations Dynamics under Unruh Effect

How the dynamics of classical and quantum correlations due to the Unruh effect are reflected in the properties of tripartite entropic uncertainty is investigated. It is found that, despite the quantum correlations disappearing at the limit of infinite acceleration, the uncertainty about the measurement outcome is at its minimum. This is due to the three-qubit system still containing classic correlations at that stage of acceleration. Additionally, the decrease in the entropic uncertainty when the measured qubit interacts strongly with the scalar field can be attributed to the increase in classical correlations. Furthermore, it is found that the entropic uncertainty is fully anti-correlated to classical correlations, and minimal uncertainty can be obtained even in the absence of quantum correlations. A tremendously tight constraint that effectively defined the properties of tripartite entropic uncertainty based on the difference between the total correlation and the Holevo quantities is achieved.

Automated summary

In this study, the researchers investigate how the dynamics of classical and quantum correlations due to the Unruh effect are manifested in the properties of tripartite entropic uncertainty. They find that, even though quantum correlations vanish at infinite acceleration, the uncertainty about measurement outcomes reaches its minimum. This is because the three-qubit system still contains classical correlations at that stage of acceleration. Furthermore, they observe that the decrease in entropic uncertainty when the measured qubit interacts strongly with the scalar field is due to an increase in classical correlations. They also discover that entropic uncertainty is fully anti-correlated with classical correlations, and minimal uncertainty can be achieved even in the absence of quantum correlations. The researchers successfully define the properties of tripartite entropic uncertainty based on the difference between total correlation and Holevo quantities.