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arXiv · 2307.13202

Entropic uncertainty relations with quantum memory in a multipartite scenario

Qing-Hua Zhang·Shao-Ming Fei
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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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Qing-Hua Zhang, Shao-Ming Fei. 2023-07-25. Entropic uncertainty relations with quantum memory in a multipartite scenario. https://doi.org/10.1103/physreva.108.012211

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