Tighter entropic uncertainty relations in the presence of quantum memories for complete sets of mutually unbiased bases

Quantum Physics [Submitted on 5 Apr 2026] Tighter entropic uncertainty relations in the presence of quantum memories for complete sets of mutually unbiased bases Qing-Hua Zhang, Cong Xu, Jing-Feng Wu, Shao-Ming Fei 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. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.03990 [quant-ph]   (or arXiv:2604.03990v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2604.03990 Focus to learn more Journal reference: Advanced Quantum Technologies, 2026; 9:e00761 Related DOI: https://doi.org/10.1002/qute.202500761 Focus to learn more Submission history From: Qing-Hua Zhang Dr. [view email] [v1] Sun, 5 Apr 2026 06:23:10 UTC (1,069 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-04 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)