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.

7 pages, 3 figures

References in corpus (7)

• Experimental non-classicality of an indivisible quantum system
• Conjectured Strong Complementary Information Tradeoff
• Quantum discord and classical correlation can tighten the uncertainty principle in the presence of quantum memory
• Entropic uncertainty relations for multiple measurements
• Competitions between quantum correlations in the quantum-memory-assisted entropic uncertainty relation
• State-independent experimental tests of quantum contextuality in a three dimensional system
• Optimized entropic uncertainty relations for multiple measurements