Quantum Discord and Quantum Entanglement in the Background of an Asymptotically Flat Static Black Holes

TL;DR

This paper investigates how quantum correlations like discord and entanglement behave near asymptotically flat static black holes, revealing their decrease with increasing Hawking temperature and quantifying their residuals at high temperatures.

Contribution

It provides a detailed analysis of quantum discord and tripartite entanglement in black hole backgrounds, highlighting their temperature dependence and residual values at extreme conditions.

Findings

Quantum discord and correlations decrease with Hawking temperature.

Classical correlation remains less than quantum discord across all temperatures.

Tripartite entanglements reduce to 52% and 33% of flat space values at infinite temperature.

Abstract

The quantum discord and tripartite entanglement are discussed in the presence of an asymptotically flat static black holes. The total correlation, quantum discord and classical correlation exhibit decreasing behavior with increasing Hawking temperature. It is shown that the classical correlation is less than the quantum discord in the full range of Hawking temperature. The tripartite entanglements for Greenberger-Horne-Zeilinger and W-states also exhibit decreasing behavior with increasing Hawking temperature. At the infinite limit of Hawking temperature the tripartite entanglements for Greenberger-Horne-Zeilinger and W-states reduce to 52% and 33% of the corresponding values in the flat space limit, respectively.