Quantum discord and measurement-induced disturbance in the background of dilaton black holes

TL;DR

This paper investigates how classical and quantum correlations, including quantum discord and measurement-induced disturbance, behave for Dirac fields near dilaton black holes, revealing effects of black hole parameters on quantum information measures.

Contribution

It provides an alternative interpretation of single mode approximation and analyzes the impact of black hole dilaton on quantum correlations and their symmetry properties.

Findings

Quantum correlations degrade with increasing black hole dilaton.

Quantum discord asymmetry is affected by gravitation, while measurement-induced disturbance remains symmetric.

Classical and quantum correlations are influenced by black hole parameters.

Abstract

We study the dynamics of classical correlation, quantum discord and measurement-induced disturbance of Dirac fields in the background of a dilaton black hole. We present an alternative physical interpretation of single mode approximation for Dirac fields in black hole spacetimes. We show that the classical and quantum correlations are degraded as the increase of black hole's dilaton. We find that, comparing to the inertial systems, the quantum correlation measured by the one-side measuring discord is always not symmetric with respect to the measured subsystems, while the measurement-induced disturbance is symmetric. The symmetry of classical correlation and quantum discord is influenced by gravitation produced by the dilaton of the black hole.