Work

Tighter Entropic Uncertainty Relations in the Presence of Quantum Memories for Complete Sets of Mutually Unbiased Bases

Year: 2026

Type: article

Abstract: ABSTRACT Entropic uncertainty relations provide an information‐theoretic framework for quantifying the fundamental indeterminacy inherent in quantum mechanics. We propose more stringent quantum‐memory‐assisted entropic uncertainty relations for complete sets of mutually unbiased bases in multipartite scenarios. We present lower and upper bounds of the quantum uncertainties based on the complementarity of the observables, the purity of the measured state, the (conditional) von‐Neumann entropies, the Holevo quantities and mutual information. The results are illustrated by several representative cases, showing that our bounds are tighter than and outperform previously existing bounds.

Source: Advanced Quantum Technologies

DOI: 10.1002/qute.202500761

Authors: Qing‐Hua Zhang, Cong Xu, Jing‐Feng Wu, Shao‐Ming Fei

Institutions: Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Capital Normal University, Jining University

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Natural Science Foundation of Hunan Province

Awards: 基于熵和斜信息的量子不确定性关系及其应用研究, G7206151321, G8025896743