# Quantum-memory-assisted entropic uncertainty relations

## TL;DR

This paper reviews the development and recent progress of quantum-memory-assisted entropic uncertainty relations, emphasizing their theoretical foundations and potential applications in quantum information processing.

## Contribution

It provides a comprehensive overview of recent advances in entropic uncertainty relations with quantum memory and explores their dynamical behavior in physical systems.

## Key findings

- Recent progress in quantum-memory-assisted entropic uncertainty relations
- Analysis of dynamical characteristics of uncertainty in physical systems
- Potential applications in quantum information tasks

## Abstract

Uncertainty relations take a crucial and fundamental part in the frame of quantum theory, and are bringing on many marvelous applications in the emerging field of quantum information sciences. Especially, as entropy is imposed into the uncertainty principle, entropy-based uncertainty relations lead to a number of applications including quantum key distribution, entanglement witness, quantum steering, quantum metrology, and quantum teleportation. Herein, the history of the development of the uncertainty relations is discussed, especially focusing on the recent progress with regard to quantum-memory-assisted entropic uncertainty relations and dynamical characteristics of the measured uncertainty in some explicit physical systems. The aims are to help deepen the understanding of entropic uncertainty relations and prompt further explorations for versatile applications of the relations on achieving practical quantum tasks.