Quantum mechanics

Theoretical physics

Uncertainty principle

Entropic uncertainty

Theoretical computer science

Computer science

Statistical physics

Physics

Quantum entanglement

Quantum network

Quantum information science

Quantum memory

Quantum technology

Quantum

Quantum discord

Quantum information

Open quantum system

Quantum metrology

Annalen der Physik

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.

Quantum‐Memory‐Assisted Entropic Uncertainty Relations