Entropic uncertainty relations - A survey

TL;DR

This survey reviews the current state of entropic uncertainty relations in quantum mechanics, emphasizing their importance in quantum information and cryptography, and discusses open questions in multi-measurement scenarios.

Contribution

It provides a comprehensive overview of known results and highlights open problems in entropic uncertainty relations involving more than two measurements.

Findings

Summarizes key results in entropic uncertainty relations.

Identifies gaps and open questions in multi-measurement cases.

Emphasizes relevance to quantum cryptography.

Abstract

Uncertainty relations play a central role in quantum mechanics. Entropic uncertainty relations in particular have gained significant importance within quantum information, providing the foundation for the security of many quantum cryptographic protocols. Yet, rather little is known about entropic uncertainty relations with more than two measurement settings. In this note we review known results and open questions.