The role of quantum discord in reduction of the lower bound of entropic uncertainty relation in presence of quantum memory

TL;DR

This paper enhances the lower bound of the entropic uncertainty relation with quantum memory by accounting for the inaccessibility of non-classical correlations, providing a more precise understanding of measurement uncertainties in quantum systems.

Contribution

It introduces a new lower bound for the entropic uncertainty relation that considers the inaccessibility of non-classical correlations at the receiver's side.

Findings

New lower bound improves upon previous bounds

Comparison shows the new bound is tighter for certain states

Highlights the role of quantum discord in uncertainty reduction

Abstract

The uncertainty of measurement on a quantum system can be reduced in presence of quantum memory [M. Berta et. al. Nature Phys. {\bf 6}, 659 (2010)]. By measurement on quantum memory, some information (non-classical information) is inaccessible, hence, it limits the lower bound of entropic uncertainty relation. In the present work, we improve the lower bound of entropic uncertainty relation in presence of quantum memory by considering inaccessibility of non classical correlation at Bob side and also compare the lower bound given by M. Berta et. al. and our prescription for two different kind of shared bipartite state.