Entropic uncertainty relations with quantum memory in a multipartite scenario

• URL: http://arxiv.org/abs/2307.13202v1
• Date: Tue, 25 Jul 2023 01:42:15 GMT
• Title: Entropic uncertainty relations with quantum memory in a multipartite scenario
• Authors: Qing-Hua Zhang and Shao-Ming Fei
• Abstract summary: We propose two complementary multipartite quantum-memory-assisted entropic uncertainty relations. Our lower bounds depend on values of complementarity of the observables,conditional von-Neumann entropies, Holevo quantities, and mutual information.
• Score: 2.1320960069210484
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Entropic uncertainty relations demonstrate the intrinsic uncertainty of nature from an information-theory perspective. Recently, a quantum-memory-assisted entropic uncertainty relation for multiple measurements was proposed by Wu $et\ al.$ [Phys Rev A. 106. 062219 (2022)]. Interestingly, the quantum-memory-assisted entropic uncertainty relation for multiple measurement settings can be further generalized. In this work, we propose two complementary multipartite quantum-memory-assisted entropic uncertainty relations and our lower bounds depend on values of complementarity of the observables, (conditional) von-Neumann entropies, Holevo quantities, and mutual information. As an illustration, we provide several typical cases to exhibit that our bounds are tighter and outperform the previous bounds.

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