Upper Bounds of Quantum Discord for Certain Two-qudit States with Maximally Mixed Marginals

Quantum discord is a measure of quantumness of correlations in bipartite states, which characterizes the difference between quantum mutual information and classical correlations. Based on the generators of Lie algebra s u ( d ) , we study the quantum discord for two families of two-qudit states with maximally mixed marginals, and derive some upper bounds of quantum discord for such states by evaluating classical correlations. Furthermore, we make a comparison among total correlations, classical correlations and quantum discord for a class of special states in high-dimensional two-partite systems.