Entropic uncertainty relations with quantum memory in a multipartite scenario

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 $etal.$ [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.

arXiv comment7 pages, 3 figures

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Cited by in corpus (4)

• Coherence-mixedness trade-offs
• Generalized entropic uncertainty relation and non-classicality in Schwarzschild black hole
• Tighter entropic uncertainty relations in the presence of quantum memories for complete sets of mutually unbiased bases
• State-independent uncertainty relations on multipartite spin $1/2$-systems