# Entropic uncertainty in the background of expanding de Sitter space-time

## TL;DR

This paper investigates how quantum entropic uncertainty evolves in a hybrid qutrit-qubit system within expanding de Sitter space, revealing its relation to entanglement, mixedness, and potential control via weak measurements.

## Contribution

It derives the master equation for the system's evolution and explores the dynamics of entropic uncertainty, entanglement decay, and their manipulation in curved space-time.

## Key findings

- Entropic uncertainty reaches different fixed values depending on initial states and parameters.
- Entanglement always decays to zero over time.
- Entropic uncertainty can be controlled through weak measurement reversal.

## Abstract

We study the dynamics of quantum-memory-assisted entropic uncertainty for a hybrid qutrit-qubit system interacting with fluctuating quantum scalar field in the background of expanding de Sitter space. We firstly derive the master equation that the system evolution obeys. As evolution time goes by, for different initial states, entropic uncertainty develops to different fixed values for different parameter values, whereas entanglement always decays to zero, and there exist monotonous relations between entropic uncertainty, entanglement and various parameters for a fixed initial state, but mixedness behaves differently with entropic uncertainty and entanglement. Further it is found that the entropic uncertainty closely associated with the entanglement and mixedness. In addition, it is shown that the entropic uncertainty can be manipulated effectively via the weak measurement reversal. Our study would give some useful insights about the behavior characteristics of high dimensional quantum system in expanding de Sitter space-time, and may be useful to the tasks of quantum information processing of curved space-time since the uncertainty principle plays vital role in quantum information science and technology.