Lower bound of local quantum uncertainty for high-dimensional bipartite quantum systems

TL;DR

This paper derives a closed-form lower bound for local quantum uncertainty in high-dimensional bipartite quantum systems, aiding the quantification of quantum correlations.

Contribution

It introduces a new operator relaxation method to establish a lower bound for LQU applicable to arbitrary-dimensional bipartite states.

Findings

Lower bound closely approximates optimized LQU for typical states

Method applicable to high-dimensional bipartite systems

Enhances understanding of quantum correlation measures

Abstract

Quantum correlations are of fundamental importance in quantum phenomena and quantum information processing studies. The measure of quantum correlations is one central issue. The recently proposed measure of quantum correlations, the local quantum uncertainty (LQU), satisfies the full physical requirements of a measure of quantum correlations. In this work, by using operator relaxation, a closed form lower bound of the LQU for arbitrary-dimensional bipartite quantum states is derived. We have compared the lower bound and the optimized LQU for several typical quantum states.